Title :
Nonlinear programming approach to biaffine matrix inequality problems in multiobjective and structured control
Author_Institution :
Dept. of Electr. Eng., Seoul Nat. Univ., South Korea
Abstract :
Some nonlinear minimization problems are proposed for obtaining a solution of the biaffine matrix inequality (BMI) problem. An algorithm is also proposed for solving the nonlinear minimization problems. The algorithm can be easily implemented with the existing convex optimization codes. This nonlinear programming approach can be applied to all multiobjective and structured control problems such as the simultaneous stabilization by static or dynamic output feedback, the mixed H2/H∞ control, and the decentralized control which can be reduced to BMI problems. The effectiveness is illustrated by numerical examples
Keywords :
H∞ control; closed loop systems; decentralised control; feedback; matrix algebra; nonlinear programming; robust control; H∞ control; H2 control; biaffine matrix inequality; closed loop systems; convex optimization; decentralized control; feedback; multiobjective control; nonlinear programming; stabilization; Distributed control; Dynamic programming; Hydrogen; Linear matrix inequalities; Lyapunov method; Minimization methods; Optimal control; Output feedback; Search methods; Three-term control;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786162
