Title :
A linear matrix inequality approach to the general mixed ℋ2/ℋ∞ control problem
Author :
Chen, Xin ; Wen, John T.
Author_Institution :
Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA
Abstract :
This paper presents a solution method to the general mixed ℋ 2/ℋ∞, problem, minimizing the ℋ 2 norm of a closed-loop system subject to an ℋ∞ norm constraint on another closed-loop system. It is shown that the true infimum over all internally stabilizing controllers can be approximated arbitrary closely by solving a sequence of globally convergent finite dimensional convex optimization problems over linear matrix inequalities. Numerical examples are provided to demonstrate the effectiveness of this approach
Keywords :
H∞ control; closed loop systems; convex programming; matrix algebra; minimisation; stability; H∞ norm constraint; H2 norm minimization; closed-loop system; general mixed H2/H∞ control problem; globally convergent finite-dimensional convex optimization problems; linear matrix inequality; Control systems; Couplings; Linear matrix inequalities; Nonlinear equations; Optimal control; Output feedback; Riccati equations; State-space methods; Sufficient conditions; Upper bound;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.520989
