On discrete dynamic output feedback min-max controllers

Authors:
Christopher Edwards;Nai One Lai;Sarah K. Spurgeon
Affiliations:
Control and Instrumentation Group, Department of Engineering, University of Leicester, LE1 7RH, UK;Control and Instrumentation Group, Department of Engineering, University of Leicester, LE1 7RH, UK;Control and Instrumentation Group, Department of Engineering, University of Leicester, LE1 7RH, UK
Venue:
Automatica (Journal of IFAC)
Year:
2005

Citing 7
Cited 0

Linear robust control

Linear robust control
Discrete-time control systems (2nd ed.)

Discrete-time control systems (2nd ed.)
Robust and optimal control

Robust and optimal control
Static output feedback—a survey

Automatica (Journal of IFAC)
Output stabilizing robust control for discrete uncertain systems

Automatica (Journal of IFAC)
Dynamic robust output min-max control for discrete uncertain systems

Journal of Optimization Theory and Applications
Brief Robust stabilization and guaranteed cost control for discrete-time linear systems by static output feedback

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.14

Visualization

Abstract

The paper considers output feedback min-max controllers for non-square discrete time uncertain linear systems. Based on previous work, it is demonstrated that static output feedback min-max controllers are only realizable for a specific class of systems. To broaden this class, a compensator based framework is proposed to introduce additional degrees of freedom. The conditions for the existence of such dynamic output feedback min-max controllers are given and are shown to be relatively mild. Furthermore, a simple parameterization of the available design freedom is proposed. An explicit procedure is described which shows how a Lyapunov matrix, which satisfies both a discrete Riccati inequality and a structural constraint, can be obtained using Linear matrix inequality optimization. This Lyapunov matrix is used to calculate the robustness bounds associated with the closed-loop system. A simple aircraft example is provided to demonstrate the efficacy of the design approach.