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Disturbance Attenuation in Classes of Uncertain Linear Hybrid Systems Hai Lin and Panos J. Antsaklis
 

Summary: Disturbance Attenuation in Classes of Uncertain Linear Hybrid Systems
Hai Lin and Panos J. Antsaklis
Abstract-- In this paper, we study the disturbance atten-
uation properties for some classes of discrete-time uncertain
piecewise linear hybrid/switched systems, which are affected
by both time-variant parameter variations and persistent
exterior disturbances. The problem of determining non-
conservative bounds on the l
induced gain from the dis-
turbance to controlled output for the closed-loop uncertain
linear hybrid system is investigated. A procedure is given to
determine such minimal l1
norm of the uncertain piecewise
linear systems. However, the termination of the procedure
developed for general uncertain piecewise linear systems is not
guaranteed. Therefore, it is important to specify a subclass of
piecewise linear systems whose l1
norm can be determined in
finite number of steps. For such a purpose, we simplify the
discrete event dynamics of the uncertain hybrid systems and

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering