一般应用领域

此示例使用一个弹球的两个模型来说明对具有 Zeno 行为的混合动态系统进行建模的不同方法。一般来说，Zeno 行为的特征可非正式地表示为某些混合系统在有限时间间隔内发生无限数量的事件。球在失去能量的同时，球与地面发生碰撞的时间间隔越来越短。

此示例说明如何使用 Simulink® 对液压缸进行建模。您可以将这些概念应用于需要液压行为建模的应用中。请参阅两个相关示例，它们使用相同的基本组件：具有负载约束的四缸模型和两缸模型。

此示例说明如何使用 Simulink® 来创建房屋的热模型。此系统对室外环境、房屋的热特性和房屋供暖系统进行建模。

Approximate nonlinear relationships of a type S thermocouple.

Design and evaluate a sine wave data table for use in digital waveform synthesis applications in embedded systems and arbitrary waveform generation instruments.

此示例说明 Simulink® 中过零的工作原理。在此模型中，三个经过偏移的正弦波被馈送到绝对值模块及饱和模块中。在正好 t = 5 时，开关模块的输出从绝对值变为饱和模块。Simulink 中的过零将自动检测到开关模块具体何时更改其输出，求解器将步进到事件发生的确切时间。您可以通过检查示波器输出来查看这些信息。

Use MATLAB Function blocks to simulate and plot galaxy interactions.

Implement counters using Enabled and Triggered subsystems. In this example, the model sldemo_counters controls flow of water into a tank and uses a counter to count the number of times overflow occurs, where overflow occurs when the water level in the tank is 8 meters or more for 30 seconds or more.

此示例说明了一种方法，您可以使用该方法将来自粘滑运动的硬限位和摩擦变化合并到一个质量-弹簧-阻尼模型中。

此示例说明如何处理状态事件。运行仿真并查看相平面图，其中状态 x1 沿 X 轴，状态 x2 沿 Y 轴。

此示例说明如何使用 Stateflow® 为锅炉的 Bang-Bang 温度控制系统建模。在 Simulink® 中对锅炉动态特性进行建模。

此示例说明如何使用 Simulink® 对倒立摆系统建模进行动画演示。倒立摆的质心在枢轴点上方。为了稳定地保持此位置，当钟摆开始下落时，系统执行控制逻辑以将枢轴点移至质心下方。倒立摆是用于测试控制策略的经典动力学问题。

此示例说明如何对一个具有周期性变化的外力函数的双弹簧-质量-阻尼系统建模。模型使用 S-Function 模块在仿真期间以动画方式显示质量系统。在该系统中，唯一的传感器连接到左侧的质量模块上，作动器也连接到左侧的质量模块上。该示例使用状态估计和线性二次调节器 (LQR) 控制。

此示例说明如何对水箱中的液体动态建模。动画根据水箱参数，在水箱排空和重新注满时提供水箱的图形显示。当您点击启动 SIM 时，水箱会注满水并排空。仿真结束时，查看显示液体高度和两个阀门状态的图。

此示例说明您可以使用 Simulink® 对可变传输延迟现象进行建模的两种情况。

Model a Foucault pendulum. The Foucault pendulum was the brainchild of the French physicist Leon Foucault. It was intended to prove that Earth rotates around its axis. The oscillation plane of a Foucault pendulum rotates throughout the day as a result of axial rotation of the Earth. The plane of oscillation completes a whole circle in a time interval T, which depends on the geographical latitude.

Solve the differential equations for the Foucault Pendulum problem and displays the pendulum bob movement in the VRML scene. You can modify the Pendulum location by changing the Latitude / Longitude constant values in the model and other parameters (g, Omega, L and initial conditions) in MATLAB® workspace.

The behavior of variable-step solvers in a Foucault pendulum model. Simulink® solvers ode45, ode15s, ode23, and ode23t are used as test cases. Stiff differential equations are used to solve this problem. There is no exact definition of stiffness for equations. Some numerical methods are unstable when used to solve stiff equations and very small step sizes are required to obtain a numerically stable solution to a stiff problem. A stiff problem may have a fast changing component and a slow changing component.

The example shows how to use Simulink® to explore the solver Jacobian sparsity pattern, and the connection between the solver Jacobian sparsity pattern and the dependency between components of a physical system. A Simulink model that models the synchronization of three metronomes placed on a free moving base are used.

Choose the correct zero-crossing location algorithm, based on the system dynamics. For Zeno dynamic systems, or systems with strong chattering, you can select the adaptive zero-crossing detection algorithm through the Configure pane:

Use Simulink® to create a model with four hydraulic cylinders. See two related examples that use the same basic components: single cylinder model and model with two cylinders and load constraints.

Model a rigid rod supporting a large mass interconnecting two hydraulic actuators. The model eliminates the springs as it applies the piston forces directly to the load. These forces balance the gravitational force and result in both linear and rotational displacement.

Model transport delay in a variable speed conveyor belt.

Analyze mechanical power of mass-spring damper system.

此示例说明如何在 Simulink® 中对二阶范德波尔 (VDP) 微分方程进行建模。在动力学中，VDP 振荡器不是守恒的，且具有非线性阻尼。在高振幅时，振荡器耗散能量。在低振幅时，振荡器生成能量。振荡器由以下二阶微分方程给出：

Follow a pre-defined trajectory and avoid collisions.