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A Generalized Approach for Analysis and Control of Discrete-Time Piecewise Affine and Hybrid Systems

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Hybrid Systems: Computation and Control (HSCC 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2034))

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Abstract

In this paper we investigate some analysis and control problems for discrete-time hybrid systems in the piece-wise affine form. By using arguments from the dissipativity theory for nonlinear systems, we show that H∞ analysis and synthesis problems can be formulated and solved via Linear Matrix Inequalities by taking into account the switching structure of the considered system. In this paper we address the generalized problem of controlling hybrid systems whose switching structure does not depend only on the state but also on the control input.

This research has been supported by the Swiss National Science Foundation.

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Authors and Affiliations

  1. Institut für Automatik, ETH - Swiss Federal Institute of Technology, ETHZ - ETL, CH 8092, Zurich, Switzerland

    Francesco Alessandro Cuzzola & Manfred Morari

Authors
  1. Francesco Alessandro Cuzzola
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  2. Manfred Morari
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Editors and Affiliations

  1. Dipartimento di Ingegneria Elettrica, Universitá dell’Aquila, Poggio di Roio, 67040, L’Aquila, Italy

    Maria Domenica Di Benedetto

  2. University of California at Berkeley, Berkeley, CA, 94720

    Alberto Sangiovanni-Vincentelli

  3. PARADES, Via San Pantaleo, 66, 00186, Roma, Italy

    Alberto Sangiovanni-Vincentelli

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© 2001 Springer-Verlag Berlin Heidelberg

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Cuzzola, F.A., Morari, M. (2001). A Generalized Approach for Analysis and Control of Discrete-Time Piecewise Affine and Hybrid Systems. In: Di Benedetto, M.D., Sangiovanni-Vincentelli, A. (eds) Hybrid Systems: Computation and Control. HSCC 2001. Lecture Notes in Computer Science, vol 2034. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45351-2_18

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  • DOI: https://doi.org/10.1007/3-540-45351-2_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41866-5

  • Online ISBN: 978-3-540-45351-2

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