Simultaneous ?? stabilization via fixed-order controllers: Equivalence and computation

Shu, Zhan, Lam, James and Li, Ping (2009) Simultaneous ?? stabilization via fixed-order controllers: Equivalence and computation. Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on, Shanghai Shi, China. 15 - 18 Dec 2009. pp. 3244-3249 . (doi:10.1109/CDC.2009.5399633).

Record type: Conference or Workshop Item (Paper)

Abstract

This paper is concerned with simultaneous H? stabilization with a fixed-order constraint on the controllers for multi-input/multi-output (MIMO) plants. By virtue of a new closed-loop stability and H? performance characterization, a novel necessary and sufficient condition for the existence of desired controllers is established in terms of a set of nonlinear matrix inequalities, which possess a monotonic structure for a linearized computation. A convergent iterative algorithm is then provided to solve the condition, and a special property of the feasible solutions enables one to further improve the solvability via simple optimization on initial values. In addition, structural constraints on the controller gains or strong stabilizability can be incorporated into the design procedure in a straightforward manner

This record has no associated files available for download.

More information

Published date: 2009

Venue - Dates: Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on, Shanghai Shi, China, 2009-12-15 - 2009-12-18

Organisations: Mechatronics