Non-overshooting output shaping for switched linear systems under arbitrary switching using eigenstructure assignment

Automatica, vol. 186, pp. 112831

Abstract

We consider the analytical control design for switched linear multiple-input multiple-output (MIMO) systems subject to arbitrary switching signals. A state feedback controller design method is proposed to obtain an eigenstructure assignment ensuring that the closed-loop switched system is globally asymptotically stable, and the outputs achieve the non-overshooting tracking of a step reference. Our analysis indicates whether non-overshooting or even monotonic tracking is achievable for the given system and considered outputs, and provides a choice of possible eigenstructures to be assigned to the constituent subsystems. We derive a structural condition that verifies the feasibility of the chosen assignment. A constructive algorithm to obtain suitable feedback matrices is provided, and the method is illustrated with numerical examples.

Authors 4

1. Kai Wulff corresponding

   Technische Universität Ilmenau

   Affiliation as printed

   Control Engineering Group, Technische Universität Ilmenau, P.O. Box 10 05 65, D-98684, Ilmenau, Germany

2. Maria Christine Honecker Aachen Chair of Intelligent Control Systems

   RWTH Aachen University

   Affiliation as printed

   Chair of Intelligent Control Systems, RWTH Aachen University, D-52074 Aachen, Germany

3. Robert Schmid

   The University of Melbourne

   Affiliation as printed

   Dept. of Electrical and Electronic Engineering, University of Melbourne, Grattan Street, Parkville, Victoria, 3010, Australia

4. Johann Reger

   Technische Universität Ilmenau

   Affiliation as printed

   Control Engineering Group, Technische Universität Ilmenau, P.O. Box 10 05 65, D-98684, Ilmenau, Germany