Abstract
Simultaneous H∞ stabilization for a set of nonlinear systems in canonical form is dealt with by using control storage functions (CSF) in this paper. Necessary and sufficient conditions for the existence of common quadratic CSFs for such systems are given. A systematically method for constructing common quadratic CSFs is developed. Based on common CSFs, continuous state feedback laws are designed to simultaneously H∞ stabilize the single-input systems and multi-input systems, respectively. An example is given to show the effectiveness of the method.
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