期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 51, 期 12, 页码 1989-1995出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2006.884959
关键词
controller saturation; H-infinity control; policy iterations; zero-sum games
An H-infinity suboptimal state feedback controller for constrained input systems is derived using the Hamilton-Jacobi-Isaacs (HJI) equation of a corresponding zero-sum game that uses a special quasi-norm to encode the constraints on the input. The unique saddle point in feedback strategy form is derived. Using policy iterations on both players, the HJI equation is broken into a sequence of differential equations linear in the cost for which closed-form solutions are easier to obtain. Policy iterations on the disturbance are shown to converge to the available storage function of the associated L-2-gain dissipative dynamics. The resulting constrained optimal control feedback strategy has the largest domain of validity within which L-2-performance for a given gamma is guaranteed.
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