Optimal control of discrete-time switched linear systems via continuous parameterization

Abstract : The paper presents a novel method for designing an optimal controller for discrete-time switched linear systems. The problem is formulated as one of computing the discrete mode sequence and the continuous input sequence that jointly minimize a quadratic performance index. State-of- art methods for solving such a control problem suffer in general from a high computational requirement due to the fact that an exponential number of switching sequences must be explored. The method of this paper addresses the challenge of the switching law design by introducing auxiliary continuous input variables and then solving a non-smooth block-sparsity inducing optimization problem.
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Conference papers
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https://hal.archives-ouvertes.fr/hal-01624364
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Submitted on : Thursday, October 26, 2017 - 11:24:15 AM
Last modification on : Wednesday, November 20, 2019 - 3:17:40 AM

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Jérémie Kreiss, Laurent Bako, Eric Blanco. Optimal control of discrete-time switched linear systems via continuous parameterization. 20th IFAC World Congress, Jul 2017, Toulouse, France. pp.15331 - 15336, ⟨10.1016/j.ifacol.2017.08.2453⟩. ⟨hal-01624364⟩

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