This paper proposes a worst-case optimal approach to the synthesis of a static output feedback for a linear, time-invariant, multivariable system depending on uncertain parameters which nonlinearly affect a given state-space model. The aim is to seek an output-to-input feedback matrix that robustly stabilizes the closed-loop system while minimizing, over the uncertain parameter domain, the (worst-case) maximum of a composite quadratic index. The emerging minimax problem is shown to be exactly equivalent to a semi-infinite optimization problem for which an estimate of a global solution is obtained through a genetic/interval algorithm. This is a hybrid algorithm that combines a genetic algorithm (at the upper level) with an interval procedure (acting at the lower level). Computational results for a two-input two-output (TITO) system are included.

Worst-Case Optimal Static Output Feedback for Uncertain Systems / GUARINO LO BIANCO, Corrado; Piazzi, Aurelio. - In: OPTIMIZATION AND ENGINEERING. - ISSN 1389-4420. - 3, NO. 4:(2002), pp. 379-393. [10.1023/A:1021556508005]

Worst-Case Optimal Static Output Feedback for Uncertain Systems

GUARINO LO BIANCO, Corrado;PIAZZI, Aurelio
2002-01-01

Abstract

This paper proposes a worst-case optimal approach to the synthesis of a static output feedback for a linear, time-invariant, multivariable system depending on uncertain parameters which nonlinearly affect a given state-space model. The aim is to seek an output-to-input feedback matrix that robustly stabilizes the closed-loop system while minimizing, over the uncertain parameter domain, the (worst-case) maximum of a composite quadratic index. The emerging minimax problem is shown to be exactly equivalent to a semi-infinite optimization problem for which an estimate of a global solution is obtained through a genetic/interval algorithm. This is a hybrid algorithm that combines a genetic algorithm (at the upper level) with an interval procedure (acting at the lower level). Computational results for a two-input two-output (TITO) system are included.
2002
Worst-Case Optimal Static Output Feedback for Uncertain Systems / GUARINO LO BIANCO, Corrado; Piazzi, Aurelio. - In: OPTIMIZATION AND ENGINEERING. - ISSN 1389-4420. - 3, NO. 4:(2002), pp. 379-393. [10.1023/A:1021556508005]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2298294
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