Robust control for nonlinear discrete-time systems with quantitative input to state stability requir

Publication Type:
Conference Proceeding
IFAC Proceedings Volumes (IFAC-PapersOnline), 2008, 17 (1 PART 1)
Issue Date:
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In this paper, we consider state feedback robust control problems for discrete-time 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. Copyright © 2007 International Federation of Automatic Control All Rights Reserved.
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