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We focus on the issue of robust stabilization with H∞ performance for a class of linear time-invariant parameter-dependent systems under norm-bounded nonlinear uncertainties. By combining the idea of polynomially parameter-dependent quadratic Lyapunov functions and linear matrix inequalities formulations, some parameter-independent conditions with high precision are given to guarantee robust asymptotic stability and robust disturbance attenuation of the linear time-invariant parameter-dependent system in the presence of norm-bounded nonlinear uncertainties. The parameter-dependent state-feedback control is designed based on the Hamilton-Jacobi-Isaac (HJI) method. The applicability of the proposed design method is illustrated in a simple example

mathematical problems in engineering

Robust stabilization with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="E1"><mml:msub><mml:mi>H</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math>performance for a class of linear parameter-dependent systems

Robust stabilization withH∞performance for a class of linear parameter-dependent systems