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Mixed H₂/H<SUB>∞</SUB> Control with Pole Placement : A Convex Optimization Approach
Riyanto BAMBANG,Etsujiro SHIMEMURA,Kenko UCHIDA 대한전자공학회 1992 대한전자공학회 학술대회 Vol.1992 No.10
In this paper, we consider the synthesis of mixed H₂/H∞ controllers such that the closed-loop poles are located in a specified region in the complex plane. Using solution to a generalized Riccati equation and a change of variable technique, it is shown thai this synthesis problem can be reduced to a convex optimization problem over a bounded subset of matrices. This convex programming can be further reduced to Generalized Eigenvalue Minimization Problem where Interior Point method has been recently developed to efficiently solve this problem.