Various approaches to the mixed H2/H∞ control problem are proposed in the literature. The solution is often obtained by means of classical techniques (i.e. solving a Riccati problem) or by means of convex optimization procedures. With the aim to synthesize a fixed-structure controller for an uncertain plant, a global optimization approach to a single-input single-output (SISO) H2/H∞ problem is proposed. In particular, robust stability is guaranteed and a nominal quadratic cost index is minimized by solving an equivalent nonconvex semi-infinite optimization problem. The resulting design method that relies on a recently devised genetic/interval algorithm is tested by designing low-order controllers for two example plants

A global optimization approach to scalar H2/H∞ control / GUARINO LO BIANCO, Corrado; Piazzi, Aurelio. - In: EUROPEAN JOURNAL OF CONTROL. - ISSN 0947-3580. - 6:(2000), pp. 356-367.

A global optimization approach to scalar H2/H∞ control

GUARINO LO BIANCO, Corrado;PIAZZI, Aurelio
2000

Abstract

Various approaches to the mixed H2/H∞ control problem are proposed in the literature. The solution is often obtained by means of classical techniques (i.e. solving a Riccati problem) or by means of convex optimization procedures. With the aim to synthesize a fixed-structure controller for an uncertain plant, a global optimization approach to a single-input single-output (SISO) H2/H∞ problem is proposed. In particular, robust stability is guaranteed and a nominal quadratic cost index is minimized by solving an equivalent nonconvex semi-infinite optimization problem. The resulting design method that relies on a recently devised genetic/interval algorithm is tested by designing low-order controllers for two example plants
A global optimization approach to scalar H2/H∞ control / GUARINO LO BIANCO, Corrado; Piazzi, Aurelio. - In: EUROPEAN JOURNAL OF CONTROL. - ISSN 0947-3580. - 6:(2000), pp. 356-367.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/1459769
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