论文信息 - Robust H∞ output dynamic observer-based control of uncertain time-delay systems

Robust H∞ output dynamic observer-based control of uncertain time-delay systems

In this paper, the robustness and H∞ control problems of output dynamic observer-based control for a class of uncertain linear systems with time delay are considered. Under no disturbance input, the asymptotic stabilization for uncertain time-delay systems will be guaranteed. Linear matrix inequality (LMI) optimization approach is used to design three classes of the H∞ output dynamic controls. Based on the results of this paper, the constraint of matrix equality is not necessary for designing the observer-based controls.

Jenq-Der Chen

[1] E. Yaz. Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[2] V. Kolmanovskii,et al. Applied Theory of Functional Differential Equations , 1992 .

[3] Z. Wu,et al. Delay-dependent robust H/sub /spl infin// control for uncertain singular time-delay systems , 2007 .

[4] Chang-Hua Lien,et al. Robust observer-based control of systems with state perturbations via LMI approach , 2004, IEEE Transactions on Automatic Control.

[5] H. Su,et al. Delay-dependent robust H/sub /spl infin// control for uncertain time-delay systems , 2003 .

[6] Yeong-Jeu Sun,et al. Global stabilizability of uncertain systems with time-varying delays via dynamic observer-based output feedback , 2002 .

[7] Da-Wei Gu,et al. A robust state observer scheme , 2001, IEEE Trans. Autom. Control..

[8] Xi Li,et al. Delay-dependent robust H control of uncertain linear state-delayed systems , 1999, Autom..

[9] Jack K. Hale,et al. Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[10] Stephen P. Boyd,et al. Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[11] Vladimir L. Kharitonov,et al. Stability of Time-Delay Systems , 2003, Control Engineering.

[12] D. Ho,et al. Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach , 2003 .