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Determination Conditions for Robust Dissipativity Based on HJI Inequalities


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Determination Conditions for Robust Dissipativity Based on HJI Inequalities
LI Gui-fangWANG Yong-chengYANG Cheng-wuSUN Yong-cheng
School of Power Engineering,NUST,Nanjing 210094,China
nonlinear systems uncertainty dissipative control HJI inequalities
The robustly dissipative synthesis problem is discussed for a class of affine nonlinear systems with bounded-norm uncertainties. The systems arewith inpu-t output feedthrough, and uncertain t ies appear in the rector field which mult iplies the control. Based on Hamilton-Jacob-i Issacs ( HJI) inequality approach, the sufficient condition under which the unforced systems are robustly dissipative is proposed; again applying the same approach, the solvable condit ion for the robustly dissipative control problem is obtained, and the corresponding state feedback controller is explicitly designed. The special case for linear systems is addressed. The numerical example is given to illustrate the validity of our results.


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Last Update: 2013-03-03