Mu Synthesis

MIMO controller synthesis for uncertain systems

Functions

dksynRobust controller design using µ-synthesis
dksynperfRobust H∞ performance optimized by dksyn
dksynOptionsSet options for dksyn
cmsclsynApproximately solve constant-matrix, upper bound µ-synthesis problem
fitfrdFit frequency response data with state-space model
fitmagfrdFit frequency response magnitude data with minimum-phase state-space model using log-Chebyshev magnitude design
genphaseFit single-input/single-output magnitude data with real, rational, minimum-phase transfer function

Topics

First-Cut Robust Design

This example shows how to use the Robust Control Toolbox™ commands usample, ucover and dksyn to design a robust controller with standard performance objectives.

Robust Control of an Active Suspension

In this example, use H synthesis to design a controller for a nominal plant model. Then, use μ synthesis to design a robust controller that accounts for uncertainty in the model.

Simultaneous Stabilization Using Robust Control

This example uses the Robust Control Toolbox™ commands ucover and dksyn to design a high-performance controller for a family of unstable plants.

Control of Aircraft Lateral Axis Using mu-Synthesis

This example shows how to use mu-analysis and synthesis tools in the Robust Control Toolbox™.

Control of a Spring-Mass-Damper System Using Mixed mu-Synthesis

This example shows how to perform mixed mu-synthesis with the dksyn command in the Robust Control Toolbox™.