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

Hamid Reza Karimi

Mathematical Problems in Engineering, 2006, vol. 2006, 1-15

Abstract:

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:059867

DOI: 10.1155/MPE/2006/59867

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