Composite Control for Singularly Perturbed Bilinear Systems with Successive Galerkin Approximation
نویسندگان
چکیده
This paper presents the closed-loop composite control of singularly perturbed bilinear systems with a quadratic performance criterion, using successive Galerkin approximation(SGA). The singularly perturbed bilinear system is decomposed into two subsystems of a slow-time and fast-time scale by the singular perturbation theory, and we obtain feedback control laws from each subsystem using SGA. We design the composite control law that consists of two optimal control laws of each subsystem. One of the purpose of this paper is to design the closed-loop composite controller of singularly perturbed bilinear systems with SGA method. The other is to reduce the disadvantages of SGA method.
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