Creating and Manipulating Models

Creating and Manipulating Models

The Control System Toolbox provides tools that you can use to make system analysis and design simpler. This collection of topics introduces techniques for creating, manipulating, and analyzing linear models. Topics covered include the following:

• LTI Models -- This section introduces key concepts about the MATLAB representation of linear, time-invariant (LTI) models, including LTI objects, precedence rules for operations, and an analogy between LTI systems and matrices. In addition, it summarizes the basic commands you can use on LTI objects.
• Operations on LTI Models -- You can perform basic matrix operations such as addition, multiplication, or concatenation on LTI models. Such operations are "overloaded," which means that they use the same syntax as they do for matrices, but are adapted so as to apply to the LTI model context. These overloaded operations and their interpretation in this context are discussed in this chapter. This chapter also discusses discretization methods.
• Model Analysis Tools -- The Control System Toolbox provides functions that display model characteristics, such as input/output pairs, analyze model dynamics, such as pole and zero locations, and transform state-space models into canonical representations. This chapter describes these tools.
• Arrays of LTI Models -- This chapter discusses the LTI Array, which you can use to collect a set of LTI models into a single MATLAB variable. You then use this single variable to manipulate or analyze the entire collection of models.

LTI Models