04. Дискретные системы.ngscript

{"nbformat":4,"nbformat_minor":0,"metadata":{"kernelspec":{"name":"Julia","display_name":"Julia"},"language_info":{"name":"Julia"},"engee":{"converted":true}},"cells":[{"cell_type":"markdown","source":["# Дискретные системы"],"attachments":{},"metadata":{"id":"3d98d621","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":true,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"# Дискретные системы"}},{"cell_type":"markdown","source":["## Динамические системы"],"attachments":{},"metadata":{"id":"a8413f89","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"## Динамические системы"}},{"cell_type":"markdown","source":["Инженеры часто имеют дело с **динамическими системами**. Динамические системы находятся в различных состояниях, изменяющихся с течением времени. \r\n\r\nНапример, состояние следующей механической системы зависит от начальных условий, физических характеристик системы и величины внешней силы.\r\n\r\n![динамические системы 3.jpg](attachment:динамические системы 3.jpg)\r\n\r\nНа выходе мы получаем зависимость положения груза $m$ от времени $x(t)$. \r\n"],"attachments":{"динамические системы 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секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"Инженеры часто имеют дело с **динамическими системами**. Динамические системы находятся в различных состояниях, изменяющихся с течением времени. \r\n\r\nНапример, состояние следующей механической системы зависит от начальных условий, физических характеристик системы и величины внешней силы.\r\n\r\n![динамические системы 3.jpg](attachment:динамические системы 3.jpg)\r\n\r\nНа выходе мы получаем зависимость положения груза $m$ от времени $x(t)$. \r\n"}},{"cell_type":"markdown","source":["Динамические системы могут быть дискретными\r\n\r\n$$x[k]=x[k-1]+r[k] \\Delta t$$\r\n\r\nили непрерывными. Непрерывные динамические системы описываются дифференциальными уравнениями:\r\n\r\n$$\\frac{dx}{dt}=r(t).$$\r\n\r\nИскомая функция $x(t)$ находится с помощью интегрирования:\r\n\r\n$$x(t_2)=\\int_{t_1}^{t_2}r(t)dt.$$\r\n\r\n---\r\n"],"attachments":{},"metadata":{"id":"a9fcc6ca","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"Динамические системы могут быть дискретными\r\n\r\n$$x[k]=x[k-1]+r[k] \\Delta t$$\r\n\r\nили непрерывными. Непрерывные динамические системы описываются дифференциальными уравнениями:\r\n\r\n$$\\frac{dx}{dt}=r(t).$$\r\n\r\nИскомая функция $x(t)$ находится с помощью интегрирования:\r\n\r\n$$x(t_2)=\\int_{t_1}^{t_2}r(t)dt.$$\r\n\r\n---\r\n"}},{"cell_type":"markdown","source":["## Моделирование дискретных систем"],"attachments":{},"metadata":{"id":"49e67089","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"## Моделирование дискретных систем"}},{"cell_type":"markdown","source":["В **Engee** дискретные блоки работают с фиксированными периодическими интервалами. Этот интервал называется **временем выборки**. Дискретные блоки дают на выходе дискретные сигналы, их время выборки определяется значением параметра Sample Time."],"attachments":{},"metadata":{"id":"36c73625","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"В **Engee** дискретные блоки работают с фиксированными периодическими интервалами. Этот интервал называется **временем выборки**. Дискретные блоки дают на выходе дискретные сигналы, их время выборки определяется значением параметра Sample Time."}},{"cell_type":"markdown","source":["**Дискретная динамическая система** – это модель текущего состояния системы $x[k]$, вычисляемого на основе на текущего и/или предыдущих состояний. Блок задержки (Delay), находящийся во вкладке **Базовые**, на палитре **Дискретные**, принимает входной сигнал и задерживает его значение в течение указанного времени выборки. На следующем временном шаге он выводит предыдущее входное значение. Блок обозначается символом $z^{-1}$, представляющем задержку в один временной шаг в области Z-преобразования."],"attachments":{},"metadata":{"id":"d118cc6d","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"**Дискретная динамическая система** – это модель текущего состояния системы $x[k]$, вычисляемого на основе на текущего и/или предыдущих состояний. Блок задержки (Delay), находящийся во вкладке **Базовые**, на палитре **Дискретные**, принимает входной сигнал и задерживает его значение в течение указанного времени выборки. На следующем временном шаге он выводит предыдущее входное значение. Блок обозначается символом $z^{-1}$, представляющем задержку в один временной шаг в области Z-преобразования."}},{"cell_type":"markdown","source":["Значение сигнала на текущем временном шаге $k$ обозначается как $x[k]$, а значения на предыдущих шагах обозначаются как $x[k-1]$, $x[k-2]$ и т.д.\r\n\r\n---"],"attachments":{},"metadata":{"id":"724a87f6","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"Значение сигнала на текущем временном шаге $k$ обозначается как $x[k]$, а значения на предыдущих шагах обозначаются как $x[k-1]$, $x[k-2]$ и т.д.\r\n\r\n---"}},{"cell_type":"markdown","source":["### ✏️Задание 1"],"attachments":{},"metadata":{"id":"55b08c72","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"### ✏️Задание 1"}},{"cell_type":"markdown","source":["1. Добавьте в модель блок Sine Wave (синусоидальный сигнал). В окне настроек блока измените значение параметра Sample Time (время выборки) на 0,25 с. Установите частоту синусоидального сигнала равной 0,5 с, а время моделирования – 20 с.\r\n2. Добавьте в модель блок Delay (задержка). Подключите выход блока Sine Wave (сигнал $x[k]$) ко входу  блока Delay.\r\n3. Добавьте в модель блок Terminator. Подключите выход блока Delay (сигнал $x[k-1]$) ко входу блока Terminator.\r\n4. Залогируйте сигналы $x[k]$ и $x[k-1]$.\r\n5. Запустите модель на выполнение.\r\n6. Сравните сигналы $x[k]$ и $x[k-1]$, просмотрев их графики. Вы увидите, что $x[k-1]$ принимает те же значения, что и $x[k]$ с задержкой на один временной шаг."],"attachments":{},"metadata":{"id":"dc34b72d","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"1. Добавьте в модель блок Sine Wave (синусоидальный сигнал). В окне настроек блока измените значение параметра Sample Time (время выборки) на 0,25 с. Установите частоту синусоидального сигнала равной 0,5 с, а время моделирования – 20 с.\r\n2. Добавьте в модель блок Delay (задержка). Подключите выход блока Sine Wave (сигнал $x[k]$) ко входу  блока Delay.\r\n3. Добавьте в модель блок Terminator. Подключите выход блока Delay (сигнал $x[k-1]$) ко входу блока Terminator.\r\n4. Залогируйте сигналы $x[k]$ и $x[k-1]$.\r\n5. Запустите модель на выполнение.\r\n6. Сравните сигналы $x[k]$ и $x[k-1]$, просмотрев их графики. Вы увидите, что $x[k-1]$ принимает те же значения, что и $x[k]$ с задержкой на один временной шаг."}},{"cell_type":"markdown","source":["#### <h5><span style=\"background-color: #c2ebff\">Решение</span></h5>"],"attachments":{},"metadata":{"id":"43518dca","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":true,"amountHideCellsInside":1,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"#### <h5><span style=\"background-color: #c2ebff\">Решение</span></h5>"}},{"cell_type":"markdown","source":["![глава_4_задание_1 2.jpg](attachment:глава_4_задание_1 2.jpg)\r\n\r\nГрафики выходных сигналов:\r\n\r\n![глава_4_задание_1_график.jpg](attachment:глава_4_задание_1_график.jpg)\r\n"],"attachments":{"глава_4_задание_1 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секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":false,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"![глава_4_задание_1 2.jpg](attachment:глава_4_задание_1 2.jpg)\r\n\r\nГрафики выходных сигналов:\r\n\r\n![глава_4_задание_1_график.jpg](attachment:глава_4_задание_1_график.jpg)\r\n"}},{"cell_type":"markdown","source":["###\r\n---\r\n\r\nБлок задержки имеет свой собственный параметр Sample Time (время выборки). По умолчанию это значение равно $-1$, что означает, что блок наследует время выборки из входного сигнала, поступающего в этот блок – в данном случае из синусоидального сигнала. Однако вы также можете указать независимое время выборки для блока задержки; например, если вам нужно уменьшить частоту дискретизации сигнала.\r\n\r\n---"],"attachments":{},"metadata":{"id":"2bbd6ab1","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"###\r\n---\r\n\r\nБлок задержки имеет свой собственный параметр Sample Time (время выборки). По умолчанию это значение равно $-1$, что означает, что блок наследует время выборки из входного сигнала, поступающего в этот блок – в данном случае из синусоидального сигнала. Однако вы также можете указать независимое время выборки для блока задержки; например, если вам нужно уменьшить частоту дискретизации сигнала.\r\n\r\n---"}},{"cell_type":"markdown","source":["### ✏️Задание 2"],"attachments":{},"metadata":{"id":"8db0ac88","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"### ✏️Задание 2"}},{"cell_type":"markdown","source":["Модифицируйте модель из Задания 1. \r\n1. В окне настроек блока задержки установите значение параметра Sample Time (время выборки) равным 0,5. \r\n2. Запустите модель на выполнение и сравните два сигнала – $x[k]$ и $x[k-1]$."],"attachments":{},"metadata":{"id":"2741c68a","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"Модифицируйте модель из Задания 1. \r\n1. В окне настроек блока задержки установите значение параметра Sample Time (время выборки) равным 0,5. \r\n2. Запустите модель на выполнение и сравните два сигнала – $x[k]$ и $x[k-1]$."}},{"cell_type":"markdown","source":["#### <h5><span style=\"background-color: #c2ebff\">Решение</span></h5>"],"attachments":{},"metadata":{"id":"0fdecf20","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":true,"amountHideCellsInside":1,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"#### <h5><span style=\"background-color: #c2ebff\">Решение</span></h5>"}},{"cell_type":"markdown","source":["![глава_4_задание_2_график.jpg](attachment:глава_4_задание_2_график.jpg)\r\n\r\nКак вы видите, если время выборки в блоке задержки увеличить вдвое, то частота дискретизации выходного сигнала уменьшится вдвое.\r\n"],"attachments":{"глава_4_задание_2_график.jpg":{"image":"data:image/jpeg;base64,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секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":false,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"![глава_4_задание_2_график.jpg](attachment:глава_4_задание_2_график.jpg)\r\n\r\nКак вы видите, если время выборки в блоке задержки увеличить вдвое, то частота дискретизации выходного сигнала уменьшится вдвое.\r\n"}},{"cell_type":"markdown","source":["###\r\n---"],"attachments":{},"metadata":{"id":"2824f9df","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"###\r\n---"}},{"cell_type":"markdown","source":["## Практический пример: Расчет положения автомобиля"],"attachments":{},"metadata":{"id":"8189b04e","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"## Практический пример: Расчет положения автомобиля"}},{"cell_type":"markdown","source":["Рассмотрим простое уравнение, описывающее положение автомобиля $x[k]$ на основе его последнего известного положения $x[k-1]$, скорости $v$ и времени между наблюдениями $\\Delta t$:\r\n\r\n$$x[k]=x[k-1]+v \\cdot \\Delta t.$$\r\n\r\nВремя между наблюдениями $\\Delta t$ является временем выборки этой дискретной системы. Пусть $\\Delta t=0,25$ с, а $v=10$ м/с.\r\n\r\nХорошая практика при моделировании дискретных динамических систем – начинать построение модели с блока единичной задержки.\r\n\r\n---"],"attachments":{},"metadata":{"id":"4a3e3cb0","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"Рассмотрим простое уравнение, описывающее положение автомобиля $x[k]$ на основе его последнего известного положения $x[k-1]$, скорости $v$ и времени между наблюдениями $\\Delta t$:\r\n\r\n$$x[k]=x[k-1]+v \\cdot \\Delta t.$$\r\n\r\nВремя между наблюдениями $\\Delta t$ является временем выборки этой дискретной системы. Пусть $\\Delta t=0,25$ с, а $v=10$ м/с.\r\n\r\nХорошая практика при моделировании дискретных динамических систем – начинать построение модели с блока единичной задержки.\r\n\r\n---"}},{"cell_type":"markdown","source":["### Задание 3"],"attachments":{},"metadata":{"id":"777afff8","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"### Задание 3"}},{"cell_type":"markdown","source":["1. Добавьте в модель блок единичной задержки Delay. Установите значение параметра Sample Time (время выборки) равным 0,25. На вход этого блока будет подаваться значение положения автомобиля в текущий момент времени $x[k]$, а выход будет представлять собой значение положения автомобиля в предыдущий момент $x[k-1]$.\r\n2. Смоделируйте второе слагаемое из правой части уравнения движения $v \\cdot \\Delta t$. Для этого добавьте в модель блок Constant (константа). Установите значение константы равным $10 \\cdot 0,25$.\r\n3. Смоделируйте правую часть уравнения движения: добавьте в модель блок Add (суммирование). Соедините выходы блоков Delay и Constant с двумя входами блока Add.\r\n4. Правая часть уравнения движения должна равняться левой ($x[k]$). Поэтому соедините выход блока Add со входом блока Delay.\r\n5. Пусть начальное положение автомобиля $x[0]=5$ м. В окне настроек блока Delay задайте значение параметра Initial condition (начальное условие) равным 5.\r\n6. Запустите модель на выполнение."],"attachments":{},"metadata":{"id":"88cfc17e","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"1. Добавьте в модель блок единичной задержки Delay. Установите значение параметра Sample Time (время выборки) равным 0,25. На вход этого блока будет подаваться значение положения автомобиля в текущий момент времени $x[k]$, а выход будет представлять собой значение положения автомобиля в предыдущий момент $x[k-1]$.\r\n2. Смоделируйте второе слагаемое из правой части уравнения движения $v \\cdot \\Delta t$. Для этого добавьте в модель блок Constant (константа). Установите значение константы равным $10 \\cdot 0,25$.\r\n3. Смоделируйте правую часть уравнения движения: добавьте в модель блок Add (суммирование). Соедините выходы блоков Delay и Constant с двумя входами блока Add.\r\n4. Правая часть уравнения движения должна равняться левой ($x[k]$). Поэтому соедините выход блока Add со входом блока Delay.\r\n5. Пусть начальное положение автомобиля $x[0]=5$ м. В окне настроек блока Delay задайте значение параметра Initial condition (начальное условие) равным 5.\r\n6. Запустите модель на выполнение."}},{"cell_type":"markdown","source":["#### <h5><span style=\"background-color: #c2ebff\">Решение</span></h5>"],"attachments":{},"metadata":{"id":"744406b5","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":true,"isClosedParagraph":true,"amountHideCellsInside":1,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"#### <h5><span style=\"background-color: #c2ebff\">Решение</span></h5>"}},{"cell_type":"markdown","source":["![глава_4_задание_3 2.jpg](attachment:глава_4_задание_3 2.jpg)\r\n\r\nРезультаты моделирования:\r\n\r\n![глава_4_задание_3_график.jpg](attachment:глава_4_задание_3_график.jpg)"],"attachments":{"глава_4_задание_3 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секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":false,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"![глава_4_задание_3 2.jpg](attachment:глава_4_задание_3 2.jpg)\r\n\r\nРезультаты моделирования:\r\n\r\n![глава_4_задание_3_график.jpg](attachment:глава_4_задание_3_график.jpg)"}},{"cell_type":"markdown","source":["##\r\n---\r\n\r\nРассмотренный пример служит основой для моделирования дифференциальных уравнений, при котором производные от искомой функции заменяются отношениями конечных разностей:\r\n\r\n$$u'(t) \\approx \\frac{u[k]-u[k-1]}{\\Delta t}.$$\r\n\r\nЕсли на вход блока задержки поступает сигнал $u[k]$, то на выходе получится сигнал $u[k-1]$."],"attachments":{},"metadata":{"id":"f3cd21bf","name":"Название секции","engee":{"lastExecutionTime":false,"isSelected":false,"isFocused":false,"isEdit":false,"isDisplay":true,"isParagraph":false,"isClosedParagraph":false,"amountHideCellsInside":0,"executionState":"INITIAL","codeOutputView":"col","codeOutputHidden":false,"isSourceChanged":false},"format":"##\r\n---\r\n\r\nРассмотренный пример служит основой для моделирования дифференциальных уравнений, при котором производные от искомой функции заменяются отношениями конечных разностей:\r\n\r\n$$u'(t) \\approx \\frac{u[k]-u[k-1]}{\\Delta t}.$$\r\n\r\nЕсли на вход блока задержки поступает сигнал $u[k]$, то на выходе получится сигнал $u[k-1]$."}}]}