Decentralized robust controller design for a class of interconnected uncertain systems: with unknown bound of uncertainty

In this paper, a simple decentralized robust control scheme is proposed for a class of interconnected time-varying systems with uncertainties. The uncertainties may appear in the interconnections between the subsystems and also within the subsystems, and they are possibly nonlinear and time-varying. The uncertainties are bounded, but the bounds of the uncertainties are unknown in controller design. When certain matching conditions are satisfied for the uncertain interconnections and the uncertainties within the subsystems, the proposed decentralized control scheme guarantees the controlled system to converge exponentially with a prescribed degree toward the equilibrium of the system, or a residual ball around the equilibrium.

[1]  Dragoslav D. Šiljak,et al.  Large-Scale Dynamic Systems: Stability and Structure , 1978 .

[2]  Y. H. Chen.  Decentralized Robust Control for Large-Scale Uncertain Systems: A Design Based on the Bound of Uncertainty , 1992 .

[3]  Z. Gong.  Decentralized robust control of uncertain interconnected systems with prescribed degree of exponential convergence , 1995, IEEE Trans. Autom. Control..

[4]  Masao Ikeda,et al.  On Optimality and Robustness Of LQ Regulators for Nonlinear and Interconnected Systems , 1985 .

[5]  Robert S. Germain,et al.  Large Scale Systems , 1996 .

[6]  E. Davison,et al.  On the stabilization of decentralized control systems , 1973 .

[7]  M. E. Sezer,et al.  Comments on decentralized state feedback stabilization , 1981 .

[8]  Masao Ikeda,et al.  Decentralized stabilization of linear time-varying systems , 1980 .

[9]  Ye-Hwa Chen,et al.  Robust control design for interconnected systems with time-varying uncertainties , 1991 .

[10]  Donald T. Gavel,et al.  Decentralized adaptive control: structural conditions for stability , 1989 .

[11]  Lin Shi,et al.  Decentralized control for interconnected uncertain systems: extensions to higher-order uncertainties , 1993 .

[12]  M. Aldeen,et al.  Stabilization Under Decentralized Information Structure , 1991, 1991 American Control Conference.

[13]  John R. Beaumont,et al.  Large-Scale Systems: Modeling and Control , 1983 .

[14]  Petar V. Kokotovic,et al.  Decentralized adaptive control of interconnected systems with reduced-order models , 1985, Autom..

[15]  M. Ikeda,et al.  Stabilization of Linear Systems , 1972 .

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