Design of stabilizing strategies for discrete-time dual switching linear systems. (July 2016)

• Record Type: Journal Article
• Authors: Bolzern, Paolo; Colaneri, Patrizio; De Nicolao, Giuseppe
• Is Part Of: Automatica. Volume 69(2016)
• Page Start: 93
• Page End: 100
• Publication Date: 2016-07
• Subjects: Markov Jump Linear Systems -- Dual switching -- Stability -- ℋ2 performance -- ℋ∞ performance -- Networked control; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.02.032
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: Discrete-time dual switching linear systems are piecewise linear systems subject to both stochastic and deterministic commutations. Stochastic jumps, well-suited to account for unpredictable events like faults or abrupt changes in the parameters, are modeled by means of a Markov chain. The deterministic switches are dictated by a scheduling signal, used as a control variable in order to achieve stochastic stability and guaranteed input/output performance. We derive sufficient conditions for the existence of a state-feedback switching law attaining these goals. Further, the more challenging co-design problem is addressed, namely the joint synthesis of a linear state-feedback controller and a stabilizing switching strategy ensuring a prescribed performance. The results are illustrated by means of a numerical example concerning a networked control system under occasional communication failures.