LMI optimization approach on robustness and H∞ control analysis for observer-based control of uncertain systems

This paper investigates the observer-based controls for a class of dynamic linear systems with structural parameter uncertainties. Two issues are mainly concerned with LMI optimization techniques: the first regards the robustness analysis of the observer-based control systems without disturbance inputs and the other is the H∞ control when involving disturbance inputs. A numerical example is given to illustrate the main contribution of this paper.

[1]  Oh-Min Kwon,et al.  Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback , 2006 .

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

[3]  Christopher Edwards,et al.  Linear matrix inequality methods for designing sliding mode output feedback controllers , 2003 .

[4]  C. Lien.  Guaranteed Cost Observer–Based Controls for a Class of Uncertain Neutral Time-Delay Systems , 2005 .

[5]  Ju H. Park,et al.  Guaranteed cost control of uncertain nonlinear neutral systems via memory state feedback , 2005 .

[6]  Lin Huang,et al.  Robust output feedback stabilisation for uncertain systems , 2003 .

[7]  Ju H. Park.  Dynamic output guaranteed cost controller for neutral systems with input delay , 2005 .

[8]  Carlos E. de Souza,et al.  A necessary and sufficient condition for output feedback stabilizability , 1995, Autom..

[9]  Myung Jin Chung,et al.  Robust observer-based H∞ controller design for linear uncertain time-delay systems , 1997, Autom..

[10]  Ian R. Petersen,et al.  Optimal guaranteed cost control of uncertain systems via static and dynamic output feedback , 1996, Autom..

[11]  W. Yan.  Static Output Feedback Stabilization , 2006, TENCON 2006 - 2006 IEEE Region 10 Conference.

[12]  Antonio T. Alexandridis,et al.  Design of output feedback controllers and output observers , 1999 .

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

[14]  Chia-chi Tsui.  A new dynamic output feedback compensator design for pole assignment , 1999 .

[15]  James Lam,et al.  Static Output Feedback Stabilization: An ILMI Approach , 1998, Autom..

[16]  Alexandre Trofino,et al.  Sufficient LMI conditions for output feedback control problems , 1999, IEEE Trans. Autom. Control..

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

[18]  J. Doyle,et al.  Essentials of Robust Control , 1997 .

[19]  Indra Narayan Kar.  Design of static output feedback controller for uncertain systems , 1999, Autom..

[20]  J. M. Gomes da Silva,et al.  Delay‐dependent anti‐windup strategy for linear systems with saturating inputs and delayed outputs , 2004 .

[21]  C. Desoer,et al.  Linear System Theory , 1963 .

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

[23]  Jen-te Yu,et al.  A new static output feedback approach to the suboptimal mixed H2/H∞ problem , 2004 .

[24]  Chang-Hua Lien,et al.  Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input , 2007 .