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Robust H~∞ Control for Linear Time-delay Systems with Norm-bounded Nonlinear Uncertainties(PDF)


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Robust H~∞ Control for Linear Time-delay Systems with Norm-bounded Nonlinear Uncertainties
ShaoXijun YangChengwu
School of Power Engineering,NUST,Nanjing 210094
robust control non-linear time-lag systems quadrat ically stabilizable H ∞cont rol
T his paper studies the robust cont rol of a class of uncertain time-delay system w ith linear nominal part s and norm-bounded nonlinear uncertainties in the state equation. The results show that the above problem can be converted to a robust cont rol for a related t ime-delay system w ith norm-bounded linear uncertainty and thus a linear memoryless state feedback cont rol law is desig ned by solving an algebraic Riccat i equat ion, the state feedback control law can ensure above systems quadrat ically stabilizable w ith an H ∞-norm bound.


1 Khargonekar P P, Petersen I R, Zhou K. Robust stabilization o f uncer tain linear systems:quadr at ic stabilizabilit y andcontrol theory. IEEE Transactions on Automatic Control, 1990, 35:356~ 361
2 Choi H H, Chung M J. Memoryless controller design for linear systems wit h delayed state and control. Automatica, 1995, 31: 917~ 919
3 Yu L , Chu J, Su H Y. Robust memoryless controller design for linear time- delay systems with norm- bounded time- varying uncertaint y. Automatica, 1996, 32: 1 759~ 1 962
4 Wang L Y, Zhan W. Robust disturbance attenuation w ith stability for linear systems w ith normbounded nonlinear uncertaint ies. IEEE Transactions on Automatic Control, 1996, 41: 886~ 888
5 Xie L, Shi P, De Souza C E. On design contr oller for a class of uncert ain sampled data nonlinear systems. IEE Proc-Control Theor y Application, 1993, 140: 119~ 126
6 Zhou K, Khargonekar P P. An alg ebraic Riccat i equat ion appr oach to opt imization. Systems Control Letter, 1988, 11: 85~ 91
7 Petersen I R. Disturbance attenuation and optimization: a desig n met hod based on the algebra Riccati equat ion. IEEE Transactions on Automatic Control, 1987, 32: 427~ 429


Last Update: 2013-03-25