Stability radii based robust wedge-stability analysis and synthesis of continuous constrained systems

Yeong Hwa Chang*, Jin Chuan Chang

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

In this paper, based on stability radii, a sufficient condition is first proposed to ensure robust wedge-stability of continuous-time constrained systems with state feedback. The saturated actuator is reformulated as a conditioned linear actuator subject to structured uncertainties and an auxiliary matrix is introduced to make the closed-loop system be characterized into a scheme of stability radius approach. We also investigate the issue of maximizing complex stability radius corresponding to a wedge region by state feedback, where a desired maximizing state feedback controller can be obtained via iteratively solving a parametrized Riccati equation. An example is given to illustrate the feasibility of the proposed results.

Original languageEnglish
Pages (from-to)2881-2885
Number of pages5
JournalProceedings of the American Control Conference
Volume4
StatePublished - 1999
Externally publishedYes
EventProceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA
Duration: 02 06 199904 06 1999

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