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Issues in the design of switched linear systems: a benchmark study

Shorten, R. and Leith, D.J. and Leithead, W.E. and Curran, P. (2003) Issues in the design of switched linear systems: a benchmark study. International Journal of Adaptive Control and Signal Processing, 17 (2). pp. 103-118. ISSN 0890-6327

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In this paper we present a tutorial overview of some of the issues that arise in the design of switched linear control systems. Particular emphasis is given to issues relating to stability and control system realisation. A benchmark regulation problem is then presented. This problem is most naturally solved by means of a switched control design. The challenge to the community is to design a control system that meets the required performance specifications and permits the application of rigorous analysis techniques. A simple design solution is presented and the limitations of currently available analysis techniques are illustrated with reference to this example.