A New Proposal for H∞ Norm Characterization and the Optimal H∞ Control of Nonlinear Systems with Time-varying Uncertainties with Known Norm Bound and Exogenous Disturbances
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چکیده
Nonlinear systems with time-varying uncertainties with known norm bound and exogenous disturbances are investigated in this work. Conditions for the determination of the H∞ norm of this class of systems are obtained in the form of a convex optimization problem in terms of LMIs. It is also proposed a H∞ optimal control design that aims to stabilize a class of nonlinear systems with time-varying uncertainties with known norm bound and exogenous disturbances and minimize its H∞ norm. The optimal gain matrix is obtained by solving a convex optimization problem in terms of LMIs such as itsH∞ norm is minimized. Numerical examples are proposed for both methods.
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تاریخ انتشار 2010