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Results and Perspectives on Computational Methods for Optimal Control of Switched Systems

Xuping XuContact Information and Panos J. AntsaklisContact Information

(6)  Department of Electrical and Computer Engineering, Penn State Erie, 16563 Erie, PA, USA
(7)  Department of Electrical Engineering, University of Notre Dame, 46556 Notre Dame, IN, USA
Abstract
This paper surveys some of the recent progresses on computational methods for optimal control of switched systems. A general model of switched system that allows externally forced switching (EFS) and internally forced switching (IFS) is first introduced and two important classes of optimal control problems are formulated. After a brief review of some relevant theoretical results, we present the idea of two stage optimization. Based on the theoretical results and two stage optimization, we then survey computational methods based on discretization, and computational methods not based on discretization. Comments are made on the merits and restrictions of each method.
The partial support of the National Science Foundation (NSF ECS99-12458 & CCR01-13131), and of the DARPA/ITO-NEST Program (AF-F30602-01-2-0526) is gratefully acknowledged.

Contact Information Xuping Xu
Email: Xuping-Xu@psu.edu

Contact Information Panos J. Antsaklis
Email: antsaklis.1@nd.edu
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Referenced by
5 newer articles

  1. Mhaskar, Prashant (2008) Robust predictive control of switched systems: Satisfying uncertain schedules subject to state and control constraints. International Journal of Adaptive Control and Signal Processing 22(2)
    [CrossRef]
  2. Xu, X. (2004) Optimal Control of Switched Systems Based on Parameterization of the Switching Instants. IEEE Transactions on Automatic Control 49(1)
    [CrossRef]
  3. Azmyakov, V. V. (2009) On the method of dynamic programming for linear-quadratic problems of optimal control in hybrid systems. Automation and Remote Control 70(5)
    [CrossRef]
  4. Bemporad, A. (2006) Logic-Based Solution Methods for Optimal Control of Hybrid Systems. IEEE Transactions on Automatic Control 51(6)
    [CrossRef]
  5. Torrisi, F.D. (2004) HYSDEL—A Tool for Generating Computational Hybrid Models for Analysis and Synthesis Problems. IEEE Transactions on Control Systems Technology 12(2)
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