Control System Toolbox

The Control System Toolbox is a collection of MATLAB functions for modeling, analyzing, and designing automatic control systems. The functions in this Toolbox implement the most common classical transfer function and modern state-space control techniques. With the Control System Toolbox, you can model, simulate, and analyze both continuous-time and discrete-time systems. Time responses, frequency responses, and root-locus diagrams can also be quickly computed and graphed.
 

Features

System Models
• Continuous-time and discrete-time systems
• Linear time-invariant (LTI) objects allow encapsulation of systems into one variable
• State-space, transfer function, zero-pole, and partial fraction model formats
• Linear system model building
• Model conversions: discrete to continuous domain, state-space to transfer function and other formats
Analysis
• New LTI Viewer for greatly simplifies analysis of plots and diagrams
• Comprehensive set of tools for multi-input, milti-output (MIMO) system analysis
• Time response functions: impulse, step, and initial condition response and general linear simulation
• Frequency response functions: Bode, Nichols, Nyquist, and singular value plots
Control Design
• Feedback gain selection: damping factors, gain and phase margins, pole placement, root locus, interactive gain determination, LQR/LQE design
• Streamlined LQG design tools
• Model realizations: controllability staircase, observability staircase, minimal realization, balanced realization, model order reduction
• Model properties: controllability/observability gramians, controllability/observability matrices, transmission zeros, Lyapuno equation, covariance response
• Support for continuous-time input delays

Highlights

LTI Objects. Taking advantage of MATLAB 5's object-oriented capabilities, this new feature allows you to manipulate SISO or MIMO linear systems with a single command, similar to matrix operations. Entire systems can be easily added or manipulated using simplified syntax.

Time and Frequency Response Analysis. Functions are provided for simulating LTI models in the time domain and for calculating their frequency responses. The time response can be computed and graphed for a step input signal, an impulse input signal, and an arbitrary input vector. A set of commands provides Bode, Nyquist, and Nichols plots for frequency response analysis. Functions for singular value analysis are also provided.

LTI Viewer. An interactive environment for comparing time and frequency responses of LTI systems, this new GUI provides UI controls for plotting the responses of several LTI systems at once and toggling between them. You can calculate the key response characteristics, such as settling time, and zoom into regions of interest on the response plots. Choose between the different I/O channels to configure the resultant plots.

Feedback Gain Selection Methods. The Control System Toolbox contains tools for the selection of closed-loop feedback gains using both classical methods and modern optimal control methods. Classical methods include root-locus plotting and gain determination, gain and phase margins, pole placement, and damping factor techniques. Modern methods include linear-quadratic regulator and estimator design routines.

Extensible and Customizable. Whether using classical control design methods or modern methods, the Control System Toolbox contains an extensive range of control design and analysis algorithms. It also provides a customizable environment in which you can easily write your own M-file scripts. These scripts can simplify design iterations and make modifications effortless by providing immediate analysis after design changes are made.

Basis for the Control Design Family. The Control System Toolbox is often used in combination with the advanced control design toolboxes to create an advanced control design environment.