Composite Control for Weakly Coupled Bilinear Systems with Successive Galerkin Approximation

연속적 Galerkin 근사를 이용한 정규 섭동 쌍일차 시스템에 대한 합성 제어

This paper presents the closed-loop composite control for weakly coupled bilinear systems with a quadratic performance criterion. The Riccati equation for weakly coupled bilinear system is decomposed into three reduced Riccati equations by the weak coupling theory, and we obtain optimal solutions of each reduced Riccati equation using successive Galerkin approximation(SGA). We design the composite control law that consists of optimal solutions of each reduced Riccati equation. The proposed algorithm reduces the disadvantages of SGA method.