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

Shoudong Huang, Steven Weidong Su
2008 IFAC Proceedings Volumes  
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
more » ... esign algorithm based on one-step min-max optimization is developed. An example is given to illustrate the proposed strategy.
doi:10.3182/20080706-5-kr-1001.02405 fatcat:o53suvw7qzdcxjymfxlbbhhski