Title :
A global optimization approach to scalar H2/H∞ control
Author :
Bianco, C. Guarino Lo ; Piazzi, A.
Author_Institution :
Dip. di Ing. dell´Inf., Univ. di Parma, Parma, Italy
fDate :
Aug. 31 1999-Sept. 3 1999
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 performance index is minimized by solving an equivalent nonconvex semi-infinite optimization problem. The resulting design method is tested by synthesizing a PID controller for a plant with fractionary uncertainties and by verifying its performances through simulations.
Keywords :
H∞ control; H2 control; Riccati equations; control system synthesis; convex programming; linear systems; multidimensional systems; performance index; quadratic programming; time-varying systems; PID controller; Riccati problem; SISO H2-H∞ problem; convex optimization procedure; equivalent nonconvex semiinfinite optimization problem; fixed-structure controller; global optimization approach; nominal quadratic performance index; scalar H2-H∞ control; single-input single-output H2-H∞ problem; uncertain plant; Control systems; Genetic algorithms; Genetics; Optimization; Polynomials; Robustness; Uncertainty; Genetic algorithms; H∞ control; Numerical methods; Optimization; Quadratic performance indices;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
