Title :
Multiobjective H2/H∞-optimal control via finite dimensional Q-parametrization and linear matrix inequalities
Author :
Hindi, Haitham A. ; Hassibi, Babak ; Boyd, Stephen P.
Author_Institution :
Dept. of Electr. Eng., Stanford Univ., CA, USA
Abstract :
The problem of multiobjective H2/H∞ optimal controller design is reviewed. There is as yet no exact solution to this problem. We present a method based on that proposed by Scherer (1995). The problem is formulated as a convex semidefinite program (SDP) using the LMI formulation of the H2 and H∞ norms. Suboptimal solutions are computed using finite dimensional Q-parametrization. The objective value of the suboptimal Qs converges to the true optimum as the dimension of and is increased. State space representations are presented which are the analog of those given by Khargonekar and Rotea (1991) for the H2 case. A simple example computed using finite impulse response Qs is presented
Keywords :
H∞ control; convex programming; feedback; state-space methods; suboptimal control; transfer function matrices; transient response; H∞ norms; H2 norms; convex semidefinite program; finite dimensional Q-parametrization; finite impulse response; linear matrix inequalities; multiobjective H2/H∞-optimal control; state space representations; suboptimal solutions; Contracts; Costs; Design engineering; Finite impulse response filter; Infinite horizon; Linear matrix inequalities; MIMO; Optimal control; State-space methods; Transfer functions;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.688463
