Decentralized variable structure control for mismatched uncertain large-scale systems: a new approach

Abstract In this paper, a decentralized variable structure controller for a class of large-scale systems with mismatched uncertainties is proposed. In every subsystem, two sets of switching surfaces is introduced. New invariance conditions are derived such that the system in the new sliding mode is completely invariant to both matched and mismatched uncertainties. To demonstrate the effectiveness of the proposed scheme, a decentralized variable structure controller is synthesized to perform the new sliding mode. Moreover, the stability analysis of the overall system is also provided.

[1]  Weibing Gao,et al.  Variable structure control of nonlinear systems: a new approach , 1993, IEEE Trans. Ind. Electron..

[2]  V. Utkin.  Variable structure systems with sliding modes , 1977 .

[3]  Raymond A. DeCarlo,et al.  Decentralized variable structure control of interconnected multi-input/ multi-output nonlinear systems , 1987 .

[4]  J. Yan,et al.  Robust stability of uncertain time-delay systems and its stabilization by variable structure control , 1993 .

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

[6]  S. Billings,et al.  Analysis and design of variable structure systems using a geometric approach , 1983 .

[7]  Hsin-Jang Shieh,et al.  A new switching surface sliding-mode speed control for induction motor drive systems , 1996 .

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

[9]  E. Ryan.  A variable structure approach to feedback regulation of uncertain dynamical systems , 1983 .

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

[11]  Yao-Wen Tsai,et al.  A modified variable structure controller , 1992, Autom..

[12]  Jean-Jacques E. Slotine,et al.  Sliding controller design for non-linear systems , 1984 .

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

[14]  Stefen Hui,et al.  Output feedback variable structure controllers and state estimators for uncertain/nonlinear dynamic systems , 1993 .

[15]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[16]  S. Spurgeon.  Choice of discontinuous control component for robust sliding mode performance , 1991 .