Output regulation by error dynamic feedback in hybrid systems with periodic state jumps. (July 2017)

• Record Type: Journal Article
• Authors: Zattoni, Elena; Perdon, Anna Maria; Conte, Giuseppe
• Is Part Of: Automatica. Volume 81(2017)
• Page Start: 322
• Page End: 334
• Publication Date: 2017-07
• Subjects: Hybrid systems -- Output regulation -- Global asymptotic stability -- Geometric approach; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2017.03.037
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This work deals with output regulation in multivariable hybrid systems featuring a continuous-time linear dynamics periodically affected by instantaneous changes of the state. More precisely, given a hybrid linear plant and a hybrid linear exogenous system, with periodic state jumps, the problem consists in finding a hybrid feedback regulator, with the same characteristics, achieving global asymptotic stability of the closed-loop dynamics and asymptotic tracking of the reference generated by the exogenous system for all the initial states. Starting from a general, necessary and sufficient condition for the existence of a solution, the discussion leads to a more specific, sufficient condition which outlines the computational framework for a straightforward synthesis of the compensator. The internal model principle is shown to hold in a more general formulation than the original one, adapted to the hybrid systems considered. A numerical example is worked out with the aim of illustrating how to implement the devised technique. The geometric approach is the key methodology in attaining these results.