LPV 和 LTV 模型

线性参数变化和线性时变模型

创建、操作、分析和仿真线性参数变化 (LPV) 和线性时变模型 (LTV)。这些模型可以逼近非线性系统，并允许您高效地将线性设计方法应用于非线性模型。

借助可用的功能，您可以：

函数

`lpvss`	Linear parameter-varying state-space model (自 R2023a 起)
`ltvss`	Linear time-varying state-space model (自 R2023a 起)
`getTestValue`	Access test values for validating data function (自 R2023a 起)
`setTestValue`	Modify test values for validating data function (自 R2023a 起)
`findop`	Compute operating condition from specifications (自 R2023b 起)
`fixInput`	Fix value of some inputs and delete them (自 R2024a 起)

`psample`	Sample linear parameter-varying or time-varying dynamics (自 R2024a 起)
`ssInterpolant`	Build gridded LTV or LPV model from state-space data (自 R2023a 起)

`step`	Step response of dynamic system
`impulse`	Impulse response plot of dynamic system; impulse response data
`lsim`	Compute time response simulation data of dynamic system to arbitrary inputs
`initial`	System response to initial states of state-space model
`RespConfig`	Options for step or impulse responses (自 R2023a 起)

`feedback`	多个模型的反馈连接
`connect`	Block diagram interconnections of dynamic systems
`series`	两个模型的串联连接
`parallel`	两个模型的并行连接
`lft`	Generalized feedback interconnection of two models (Redheffer star product)

`c2d`	将模型从连续时间转换为离散时间
`d2c`	Convert model from discrete to continuous time
`d2d`	Resample discrete-time model
`xperm`	Reorder states in state-space models
`sminreal`	Eliminates structurally disconnected states, delays, and blocks

LPV System	对线性参数变化 (LPV) 系统进行仿真
LTV System	Simulate linear time-varying (LTV) systems (自 R2024a 起)

Varying Delay	Varying delay with support for fixed delay and zero delay (direct feedthrough) (自 R2024a 起)
Varying Lowpass Filter	具有可变系数的巴特沃斯滤波器
Varying Notch Filter	Notch filter with varying coefficients
PID Controller	连续时间或离散时间 PID 控制器
PID Controller (2DOF)	连续时间或离散时间二自由度 PID 控制器
Varying Transfer Function	Transfer function with varying coefficients
Varying State Space	State-space model with varying matrix values
Varying Observer Form	Observer-form state-space model with varying matrix values

Discrete Varying Delay	Discrete varying delay with support for fixed delay and zero delay (direct feedthrough) (自 R2024a 起)
Discrete Varying Lowpass	Discrete Butterworth filter with varying coefficients
Discrete Varying Notch	Discrete-time notch filter with varying coefficients
Discrete PID Controller (2DOF)	离散时间或连续时间二自由度 PID 控制器
Discrete PID Controller	离散时间或连续时间 PID 控制器
Discrete Varying Transfer Function	Discrete-time transfer function with varying coefficients
Discrete Varying State Space	Discrete-time state-space model with varying matrix values
Discrete Varying Observer Form	Discrete-time observer-form state-space model with varying matrix values

LTV and LPV Modeling
Fundamentals of linear time-varying and parameter-varying models.
Using LTV and LPV Models in MATLAB and Simulink
Create, analyze, and simulate linear parameter-varying and linear time-varying state-space models.

LPV Model of Bouncing Ball
Construct an LPV representation of a system that exhibits multi-mode dynamics.
LPV Model of Engine Throttle
Model engine throttle behavior as a linear parameter-varying system.
Analysis of Gain-Scheduled PI Controller
Analyze gain-scheduled PI control of an LPV system.
LPV Model of Magnetic Levitation System
Create analytic LPV model from linearized equations of magnetic levitation system.
Gain-Scheduled LQG Controller
Demonstrate instability in gain-scheduled control when parameters vary too quickly.

LPV Approximation of Boost Converter Model
Obtain linear parameter-varying approximation of a nonlinear Simscape™ Electrical™ model.
Design and Validate Gain-Scheduled Controller for Nonlinear Aircraft Pitch Dynamics
Approximate nonlinear behavior of airframe pitch axis dynamics using linear parameter-varying model.
LPV Model of Magnetic Levitation Model from Batch Linearization Results
Create a gridded LPV model from batch linearization results of a magnetic levitation model.
Reduced Order Modeling of a Nonlinear Dynamical System as an Identified Linear Parameter Varying Model (System Identification Toolbox)
Identify a linear parameter varying reduced order model of a cascade of nonlinear mass-spring-damper systems.