L2-induced gain for discrete-time switched Lur'e systems via a suitable Lyapunov function. Issue 25 (2015)

• Record Type: Journal Article
• Authors: Louis, Julien; Jungers, Marc; Daafouz, Jamal; Castelan, Eugênio B.
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 25(2015)
• Page Start: 277
• Page End: 282
• Publication Date: 2015
• Subjects: Switched systems -- Lur'e type systems -- L2-induced gain -- Lur'e type Lyapunov functions; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.11.100
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper deals with discrete-time switched Lur'e systems including an additional saturated input and a bounded energy disturbance. Two control design issues are investigated related to the L 2 -induced gain and the rejection of disturbance. An common optimization problem under LMI conditions and differing from the cost function to optimize, is provided to offer a solution to the both problems. The main approach is to upper bound a criterion with a suitable Lur'e type Lyapunov function. Numerical examples are given to underline the efficiency of our approach and to allow a discussion with the literature.