A simple approach for switched control design with control bumps limitation

• Published in: Systems & control letters Vol. 61; no. 12; pp. 1215 - 1220
• Main Authors: Daafouz, Jamal, Geromel, José C., Deaecto, Grace S.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.12.2012; Elsevier
• Subjects: Applied sciences; Automatic; Bump phenomenon; Computer science; control theory; systems; Control system synthesis; Control systems; Control theory. Systems; Design engineering; Discontinuity; Dynamic output feedback control; Dynamical systems; Dynamics; Engineering Sciences; Exact sciences and technology; Output feedback; State feedback control; Strategy; Switched systems; Switching; System theory; Switched systems; Dynamic output feedback control; State feedback control; Bump phenomenon; Multimodel control; State feedback; Discontinuity; dynamic control; Feedback regulation; Control synthesis; Dynamical system; Cost control; Hybrid system; Closed feedback; Continuous control; Output feedback
• ISSN: 0167-6911; 1872-7956
• DOI: 10.1016/j.sysconle.2012.09.001

By its own nature, control of switched systems in general leads to expressive discontinuities at switching times. Hence, this class of dynamic systems needs additional care as far as implementation constraints such as for instance control amplitude limitation is concerned. This paper aims at providing numerically tractable conditions to be incorporated in the control design procedure in order to reduce control bumps. The switching strategy and continuous control laws are jointly determined as well as an H∞ guaranteed cost is minimized. Due to its theoretical and practical importance, special attention is given to the dynamic output feedback control design problem. The results are illustrated by means of examples borrowed from the literature which are also used for comparisons that put in evidence the efficiency of the proposed strategy.