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Journal Articles IFAC-PapersOnLine Year : 2021

An Approximation of Minimax Control using Random Sampling and Symbolic Computation

Abstract

We aim at the synthesis of an approximate minimax control for a system dynamic given in the form x.(t) = f(x(t),u(t),d(t)) where x represents the state, u the control (or input) and d a disturbance (or perturbation). The disturbance d(t) is prescribed to a compact domain D on which it can take any value (bounded uncertainty). Our method makes use of symbolic computation to enclose the solutions corresponding to all possible disturbance d. in D, together with a simple algorithm of random sampling to select the minimum control u*. We illustrate the interest of this approximate minimax control on an example of a biochemical reactor.

Dates and versions

hal-03343147 , version 1 (14-09-2021)

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Jawher Jerray, Laurent Fribourg, Étienne André. An Approximation of Minimax Control using Random Sampling and Symbolic Computation. IFAC-PapersOnLine, 2021, Proceedings of the 7th IFAC Conference on Analysis and Design of Hybrid Systems (ADHS 2021), 54 (5), pp.265-270. ⟨10.1016/j.ifacol.2021.08.509⟩. ⟨hal-03343147⟩
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