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Singular H∞ control in nonlinear systems: positive semidefinite storage functions and separation principle
Authors:T C Lee  B S Chen  T S Lee
Abstract:A framework is developed for the general nonlinear H output feedback control problem, in which two major restrictions are relaxed, i.e., the non-singular penalty in H cost and the positive definite solution of Hamilton–Jacobi inequality at present state space nonlinear H control literatures. As illustrated in an example, positive semidefinite solution simplifies the structure of the H controller. Based on this framework, some sufficient conditions are derived. While specialized to linear systems, the controller reduces to the so-called central controller. © 1997 by John Wiley & Sons, Ltd.
Keywords:H∞  control  Hamilton–  Jacobi inequality  positive semidefinite function
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