Title :
Using Lyapunov matrices for sliding mode design
Author :
Kim, Kyung-soo ; Park, Youngjin
Author_Institution :
Digital Media Res. Lab., LG Electron. Inc., South Korea
Abstract :
In this manuscript, a property of Lyapunov matrices is proposed and its application to sliding mode design is addressed. It will be shown that the sliding modes which guarantee the desired sliding behavior can be obtained by manipulating Lyapunov matrices associated with the full order systems. The proposed approach enables us to adopt a variety of Lyapunov- (or Riccati-) based approaches for the sliding mode design. Applications to uncertain systems, systems with uncertain state delay, pole-clustering problems, multi-objective approach etc. are discussed
Keywords :
Lyapunov matrix equations; Riccati equations; control system synthesis; variable structure systems; Lyapunov matrices; Riccati-based approaches; multi-objective approach; pole-clustering problems; sliding mode design; uncertain state delay; uncertain systems; Control theory; Delay; Linear matrix inequalities; Mechanical engineering; Mechanical factors; Reduced order systems; Riccati equations; Sliding mode control; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914123
