Mixed H2/H∞ Robust Output Feedback Control for Uncertain Linear Systems
Author(s): WU Huaining, FEI Yuanchun
Pages: 367-373
Year: 2000 Issue: 3
Journal: CONTROL THEORY & APPLICATIONS
Keyword: uncertain linear systems; mixed H2/H∞ control; output-feedback; algebraic Riccati equation; robustness;
Abstract: The paper deals with the mixed H2/H∞ robust output feedback control problem for linear systems subject to norm-bounded parameter uncertainty in both the state and the output matrices of the state-space model. The full-order controllers derived are not only guaranteed to satisfy a pre-specified H∞ disturbance attenuation level for all admissible parameter uncertainties, but also provide an optimized bound for the worst-case H2 cost function. The obtained results require the solutions of one parameter-dependent algebraic Riccati equation and three coupled parameter-dependent nonlinear equations. A numerical algorithm for solving these parameter-dependent nonlinear equations is also presented.
Pages: 367-373
Year: 2000 Issue: 3
Journal: CONTROL THEORY & APPLICATIONS
Keyword: uncertain linear systems; mixed H2/H∞ control; output-feedback; algebraic Riccati equation; robustness;
Abstract: The paper deals with the mixed H2/H∞ robust output feedback control problem for linear systems subject to norm-bounded parameter uncertainty in both the state and the output matrices of the state-space model. The full-order controllers derived are not only guaranteed to satisfy a pre-specified H∞ disturbance attenuation level for all admissible parameter uncertainties, but also provide an optimized bound for the worst-case H2 cost function. The obtained results require the solutions of one parameter-dependent algebraic Riccati equation and three coupled parameter-dependent nonlinear equations. A numerical algorithm for solving these parameter-dependent nonlinear equations is also presented.
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