Robust Control for Nonlinear Discrete-Time Systems with Quantitative Input to State Stability Requirement

2008 IFAC
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Conference Proceeding
Proceedings of the 17th World Congress, The International Federation of Automatic Control (IFAC), 2008, pp. 14186 - 14191
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In this paper, we consider state feedback robust control problems for discretetime nonlinear systems subject to disturbances. The objective of the control is to minimize a performance function while guaranteeing a prescribed quantitative input to state stability (ISS) property for the closed-loop systems. By introducing the concept of ISS control invariant set, a sufficient condition for the problem to be feasible is given. Built on the sufficient condition, a computationally efficient control design algorithm based on one-step min-max optimization is developed. An example is given to illustrate the proposed strategy.
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