On Input to State Stabilization for Nonlinear Discrete-Time Systems: a Dynamic Programming Approach∗
نویسندگان
چکیده
A novel technique for synthesizing dynamic state feedback controllers that achieve input to state stability (ISS) property for nonlinear discrete-time systems is presented. The ISS controller design for the original system is solved via an auxiliary l∞-bounded (LIB) robustness synthesis problem for an auxiliary system. A complete solution for the LIB synthesis problem has been presented recently in the literature. The obtained static state feedback LIB controller for the auxiliary system can be interpreted as a dynamic state feedback ISS controller for the original system. The obtained solution is in terms of a dynamic programming equation (or inequality).
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