Decentralized variable structure model-following adaptive control for interconnected systems with series nonlinearities

The problem of model-referenced control for interconnected systems with series non-linearities is investigated. By applying variable structure control theory, we propose a controller which is able to drive the error subsystem between the model state and the plant state to zero. The presented variable structure controller ensures the global reaching condition of the sliding mode of the error system. It shows that the uncertain nonlinear dynamic system also possesses the property of insensitivity to uncertainties and disturbances as a linear system does. Furthermore, the sliding mode can be designed to converge within a specified exponential speed.

[1]  Vadim I. Utkin,et al.  Sliding Modes and their Application in Variable Structure Systems , 1978 .

[2]  U. Itkis,et al.  Control systems of variable structure , 1976 .

[3]  H. Khurana,et al.  On stabilization of large-scale control systems using variable structure systems theory , 1986 .

[4]  B. Draenovi The invariance conditions in variable structure systems , 1969 .

[5]  Kuo-Kai Shyu,et al.  Estimation of asymptotic stability region and sliding domain of uncertain variable structure systems with bounded controllers , 1996, Autom..

[6]  D. P. Mital,et al.  Decentralized robust controller design for a class of interconnected uncertain systems: with unknown bound of uncertainty , 1996, IEEE Trans. Autom. Control..

[7]  Umit Ozguner,et al.  Decentralized model reference adaptive system using a variable structure control , 1985, 1985 24th IEEE Conference on Decision and Control.

[8]  R. Decarlo,et al.  Variable structure control of nonlinear multivariable systems: a tutorial , 1988, Proc. IEEE.

[9]  S. Richter,et al.  Control of a class of nonlinear systems by decentralized control , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[10]  Stefen Hui,et al.  Robust control synthesis for uncertain/nonlinear dynamical systems , 1992, Autom..

[11]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[12]  Raymond A. DeCarlo,et al.  Decentralized variable structure control design for a two-pendulum system , 1983 .

[13]  A. Stephen Morse,et al.  Decentralized control of linear multivariable systems , 1976, Autom..

[14]  Stephen Yurkovich,et al.  Decentralized variable structure control of a two-arm robotic system , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[15]  Raymond A. DeCarlo,et al.  Decentralized tracking for a class of interconnected nonlinear systems using variable structure control , 1988, Autom..

[16]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

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