数值线性时不变模型

常见的线性系统模型，如传递函数和状态空间模型

数值线性时不变 (LTI) 模型是用于表示线性系统的基本构件块。数值 LTI 模型对象允许您以常用的表示形式存储动态系统。例如，tf 模型使用其分子和分母多项式的系数来表示传递函数，ss 模型使用其状态空间矩阵来表示 LTI 系统。还有一些特殊的 LTI 模型类型，它们使用其比例、积分和导数系数来表示 PID 控制器。

通过将单个组件表示为 LTI 模型并将这些组件连接起来以搭建您的控制架构模型，从而构建更复杂的控制系统模型。有关示例，请参阅使用模型对象进行控制系统建模。

函数

全部展开

基本模型

`tf`	传递函数模型
`zpk`	零极点增益模型
`ss`	状态空间模型
`frd`	Frequency-response data model
`filt`	Specify discrete transfer functions in DSP format
`dss`	Create descriptor state-space models

PID 模型

`pid`	PID controller in parallel form
`pidstd`	PID controller in standard form
`pid2`	2-DOF PID controller in parallel form
`pidstd2`	2-DOF PID controller in standard form

生成随机模型

`rss`	生成随机持续测试模型
`drss`	生成随机离散测试模型

模块

LTI System

在 Simulink 中使用线性时不变系统模型对象

主题

快速入门

使用模型对象进行控制系统建模
使用模型对象构建表示您的控制系统的模型。
What Are Model Objects?
Model objects represent linear systems as specialized data containers that encapsulate model data and attributes in a structured way.
Using Model Objects
Ways to use model objects include linear analysis, compensator design, and control system tuning.

连续时间模型

Creating Continuous-Time Models
This example shows how to create continuous-time linear models using the tf, zpk, ss, and frd commands.
传递函数
用分子和分母系数或零点、极点和增益表示传递函数。
State-Space Models
Represent state-space models in terms of the state-space matrices.
Frequency Response Data (FRD) Models
Represent dynamic systems in terms of the magnitude and phase of their responses at various frequencies.
Proportional-Integral-Derivative (PID) Controllers
Represent PID controllers in terms of controller gains or time constants.
Two-Degree-of-Freedom PID Controllers
2-DOF PID controllers can achieve faster disturbance rejection without significant increase of overshoot in setpoint tracking.
Using the Right Model Representation
This example shows some best practices for working with LTI models.

离散时间模型

创建离散时间模型
此示例说明如何使用 tf、zpk、ss 和 frd 命令创建离散时间线性模型。
Discrete-Time Numeric Models
Represent discrete-time numeric models by specifying a sample time when you create the model object.
Discrete-Time Proportional-Integral-Derivative (PID) Controllers
The integrator and filter terms in discrete-time PID controllers can be represented by several different formulas.

MIMO 模型

MIMO 传递函数
通过串联 SISO 传递函数或指定每个 I/O 通道的系数集来创建 MIMO 传递函数。
MIMO State-Space Models
These examples show how to represent MIMO systems as state-space models.
MIMO Frequency Response Data Models
Use frequency-response data from multiple I/O pairs in a system to create a MIMO frequency response model.
Select Input/Output Pairs in MIMO Models
Extract particular I/O channels from a MIMO dynamic system model.

Simulink 中的 LTI 模型

Import LTI Model Objects into Simulink
Use the LTI System block to import linear system model objects into Simulink^®.

关于模型对象的更多信息

Types of Model Objects
Model object types include numeric models, for representing systems with fixed coefficients, and generalized models for systems with tunable or uncertain coefficients.
动态系统模型
表示具有内部动态特性或过去状态记忆的系统，例如积分器、延迟、传递函数和状态空间模型。
Numeric Models
Numeric LTI Models represent dynamic elements, such as transfer functions or state-space models, with fixed coefficients.
Static Models
Represent static input/output relationships, including tunable or uncertain parameters and arrays.