Title :
Observer Design for Lur´e Systems With Multivalued Mappings: A Passivity Approach
Author :
Brogliato, B. ; Heemels, W.P.M.H.
Author_Institution :
INRIA, ZIRST Montbonnot, St. Ismier, France
Abstract :
This paper considers the design of state observers for Lur´e systems with multivalued mappings in the feedback path. In particular, we focus on maximal monotone mappings that that do not require any compactness and local boundedness properties and include various models for relays, friction characteristics and complementarity conditions. We propose two types of observers that are constructed by rendering a suitable operator passive in an appropriate sense. The well-posedness properties of the observer dynamics are carefully analyzed and the global asymptotic stability of the observation error is formally proven.
Keywords :
asymptotic stability; feedback; multivariable control systems; observers; Lur´e systems; feedback; global asymptotic stability; maximal monotone mappings; multivalued mappings; state observers; Adaptive control; Automatic control; Control design; Control systems; Friction; Linear feedback control systems; Nonlinear control systems; Programmable control; Relays; Robust control; Differential inclusion; Lur´e system; maximal monotone mapping; multivalued system; normal cone; observer; passivity; positive realness;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2023968