Bounded amplitude performance of switched LPV systems with applications to hybrid systems

This paper discusses recent results on multiple linear agent control for systems satisfying a bounded amplitude performance constraint. The plant is assumed to be a linear parameter varying (LPV) system scheduled along a nominal parameter trajectory; in this respect, the control problem represents a plant operating between a prespecified set of operating conditions. Linear controllers are designed at setpoints along this scheduling trajectory to satisfy bounded amplitude performance constraints. This paper discusses an approach to analyze the switched system behavior under practical assumptions on the structure of the switching rule. The approach combines the scheduling parameter with LPV system properties to derive bounds on the switching behavior of the system. These estimates are then used to construct a logical model of the switched system behavior in the form of a timed automaton. In this respect, this paper presents a way of extracting logical models of continuous time system behavior. (C) 1999 Elsevier Science Ltd. All rights reserved.