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Elsevier, Nonlinear Analysis: Hybrid Systems, 2(1), p. 212-222

DOI: 10.1016/j.nahs.2006.08.002

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A Unified Approach to Controllability Analysis for Hybrid Control Systems

Journal article published in 2007 by Zhenyu Yang, Mogens Blanke ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

A unified approach is proposed for controllability analysis of a class of hybrid control systems, employing the controllability concept defined in [M. Tittus, B. Egardt, Control design for integrator hybrid systems, IEEE Transactions on Automatic Control 43 (4) (1998) 491–500; J.H. van Schuppen, A Sufficient Condition for Controllability of a Class of Hybrid Systems, in: LNCS, vol. 1386, Springer, 1998, pp. 374–383; Z. Yang, M. Verhaegen, Y.J. Wang, Z.J. Chen, Hybrid controllability of linear switched systems, in: Proceedings of 37th Control and Decision Conference, Tampa, FL, USA, December 1998, pp. 3920–3925]. The unified approach comprises global reachability analysis at the discrete event system level, local reachability analysis at the continuous-time dynamical system level and a merging of the results of these two methods using a discrete-path search algorithm. The proposed method is demonstrated useful for controllability analysis of complex hybrid control systems. The method is illustrated by analyzing the controllability of a linear switched system.