Decentralized Observer based Guaranteed Cost Control for Nonlinear Interconnected Systems

The focus of this paper is on the design of a decentralized state observer based decentralized guaranteed cost control for a class of large scale nonlinear interconnected systems whilst the nonlinear part is norm bounded. Sufficient conditions for the asymptotic stability of the developed feedback control scheme are proposed in terms of linear matrix inequalities (LMIs) constraints, which can be efficiently solved by the LMI optimization techniques, to compute the control and the observation gains of the overall system, to maximize the domain of nonlinearity which leave the overall system stable and to minimize the upper bound of a given performance index. The efficiency of the proposed control approach is highlighted by numerical simulation dealing with the robust stabilization of a power system with three interconnected machines.

[1]  Malur Sundareshan.  Decentralized observation in large-scale systems , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

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

[3]  Hassan K. Khalil,et al.  A separation principle for the stabilization of a class of nonlinear systems , 1997, 1997 European Control Conference (ECC).

[4]  Youyi Wang,et al.  Robust decentralized control for multimachine power systems , 1998 .

[5]  Jianliang Wang,et al.  Reliable guaranteed cost control for uncertain nonlinear systems , 2000, IEEE Trans. Autom. Control..

[6]  Yi Guo,et al.  Nonlinear decentralized control of large-scale power systems , 2000, Autom..

[7]  Lihua Xie,et al.  Stabilization of a class of uncertain large-scale stochastic systems with time delays , 2000, Autom..

[8]  D. Siljak,et al.  Robust stabilization of nonlinear systems: The LMI approach , 2000 .

[9]  Bor-Sen Chen,et al.  H∞ decentralized fuzzy model reference tracking control design for nonlinear interconnected systems , 2001, IEEE Trans. Fuzzy Syst..

[10]  Naceur Benhadj Braiek,et al.  Robust decentralized control for multimachine power systems-the LMI approach , 2002, IEEE International Conference on Systems, Man and Cybernetics.

[11]  Kumpati S. Narendra,et al.  Exact output tracking in decentralized adaptive control systems , 2002, IEEE Trans. Autom. Control..

[12]  P.R. Pagilla,et al.  A decentralized output feedback controller for a class of large-scale interconnected nonlinear systems , 2005, Proceedings of the 2004 American Control Conference.

[13]  Prabhakar R. Pagilla,et al.  Decentralized output feedback control of a class of large-scale interconnected systems , 2007, IMA J. Math. Control. Inf..