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Successive-approximation approach of optimal control for bilinear discrete-time systems

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3 Author(s)
Tang, G.-Y. ; Dept. of Comput. Sci., Ocean Univ. of China, Qingdao, China ; Ma, H. ; Zhang, B.-L.

A successive-approximation approach designing optimal controllers is developed for bilinear discrete-time systems with a quadratic performance index. By using the successive-approximation approach, the original optimal control problem is transformed into a sequence of nonhomogeneous linear two-point boundary-value problems. The optimal control law consists of an accurate linear term and a nonlinear compensating term that is the limit of the adjoint vector sequence. Through a finite-step iteration process of a nonlinear compensating sequence a suboptimal control law is obtained. Simulation results show that the algorithm is easily implemented and has a fast convergence rate.

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Control Theory and Applications, IEE Proceedings -  (Volume:152 ,  Issue: 6 )