Decentralized output feedback control of large-scale nonlinear systems interconnected by unmeasurable states

This paper studies the problem of global decentralized control by output feedback for large-scale uncertain systems whose subsystems are interconnected not only by their outputs but also by their immeasurable states. We show that under a linear growth condition, there is a decentralized output feedback controller rendering the closed-loop systems globally exponentially stable. This is accomplished by extending the output feedback domination design (C. Qian and W. Lin, 2002) that only needs little information of the nonlinear systems. A time-varying output feedback controller is also constructed for the large-scale systems with unknown parameters.

[1]  Zhong-Ping Jiang,et al.  Decentralized nonlinear output-feedback stabilization with disturbance attenuation , 2001, IEEE Trans. Autom. Control..

[2]  A. Krener,et al.  Nonlinear observers with linearizable error dynamics , 1985 .

[3]  Prashanth Krishnamurthy,et al.  Decentralized control and disturbance attenuation for large-scale nonlinear systems in generalized output-feedback canonical form , 2003, Autom..

[4]  Boris Lohmann,et al.  Output feedback decentralized control of large-scale systems using weighted sensitivity functions minimization , 2002, Syst. Control. Lett..

[5]  X. Xia,et al.  Nonlinear observer design by observer error linearization , 1989 .

[6]  Hassan K. Khalil,et al.  Decentralized stabilization of nonlinear interconnected systems using high-gain feedback , 1982 .

[7]  S. Jain,et al.  Decentralized adaptive output feedback design for large-scale nonlinear systems , 1997, IEEE Trans. Autom. Control..

[8]  A. Linnemann.  Decentralized control of dynamically interconnected systems , 1984 .

[9]  Petros A. Ioannou.  Decentralized adaptive control of interconnected systems , 1986 .

[10]  Wei Lin,et al.  Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm , 2002, IEEE Trans. Autom. Control..

[11]  Hassan K. Khalil,et al.  DECENTRALIZED STABILIZATION OF INTERCONNECTED SYSTEMS USING OUTPUT FEEDBACK. , 1985 .

[12]  Zhong-Ping Jiang,et al.  Decentralized and adaptive nonlinear tracking of large-scale systems via output feedback , 2000, IEEE Trans. Autom. Control..

[13]  Arthur J. Krener,et al.  Linearization by output injection and nonlinear observers , 1983 .

[14]  D. Konik,et al.  On stabilization of decentralized dynamic output feedback systems , 1984 .

[15]  Da-Zhong Zheng.  Decentralized output feedback stabilization of a class of nonlinear interconnected systems , 1989 .

[16]  L. Praly.  Asymptotic stabilization via output feedback for lower triangular systems with output dependent incremental rate , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).