Decentralized discrete-time quasi-sliding mode control of uncertain linear interconnected systems

In this paper, a new global decentralized discrete-time quasi-sliding mode control of linear interconnected systems is presented. The proposed controller is free of chattering problem and can be applied to a broader class of large-scale systems. Additionally, it is capable to deal with both known and unknown interconnections among the subsystems. Stability of the reduced-order interconnected systems is analyzed using Lyapunov approach. The proposed decentralized controller guarantees the reachability of the connective sliding manifold. The resultant dynamics are proved to be globally asymptotically stable. Furthermore, the controller is made robust to external disturbances by employing a disturbance estimation scheme. The simulations are performed on model of a two-area power generation system and the results show the efficacy of the proposed scheme.

[1]  Christopher Edwards,et al.  Decentralized sliding mode control for multimachine power systems using only output information , 2003, IECON'03. 29th Annual Conference of the IEEE Industrial Electronics Society (IEEE Cat. No.03CH37468).

[2]  Mohammad Ali Abido,et al.  AGC tuning of interconnected reheat thermal systems with particle swarm optimization , 2003, 10th IEEE International Conference on Electronics, Circuits and Systems, 2003. ICECS 2003. Proceedings of the 2003.

[3]  Andrzej Bartoszewicz,et al.  Discrete-time quasi-sliding-mode control strategies , 1998, IEEE Trans. Ind. Electron..

[4]  J. Rodellar,et al.  Decentralised reliable guaranteed cost control of uncertain systems: an LMI design , 2007 .

[5]  Magdi S. Mahmoud,et al.  Decentralized stabilization approach for interconnected discrete-time delay systems with bounded non-linearities , 2010, IMA J. Math. Control. Inf..

[6]  Christopher Edwards,et al.  Global decentralised static output feedback slidingmode control for interconnected time-delay systems , 2012 .

[7]  Hao-Chi Chang,et al.  Sliding mode control on electro-mechanical systems , 1999 .

[8]  Airong Wei,et al.  Disturbance tolerance and H∞ control of port-controlled hamiltonian systems in the presence of actuator saturation , 2013, Proceedings of the 32nd Chinese Control Conference.

[9]  C. Milosavljevic,et al.  Digitally controlled sliding mode based servo-system with active disturbance estimator , 2006, International Workshop on Variable Structure Systems, 2006. VSS'06..

[10]  Frank L. Lewis,et al.  Neural Network Control Of Robot Manipulators And Non-Linear Systems , 1998 .

[11]  Asif Sabanovic,et al.  Variable structure systems : from Principles to Implementation , 2004 .

[12]  Ahmed H. El-Shaer,et al.  Performance enhancement for a class of hysteresis nonlinearities using disturbance observers , 2014 .

[13]  M. Jamshidi.  Large-Scale Systems: Modeling, Control and Fuzzy Logic , 1996 .

[14]  O. Kaynak,et al.  On the stability of discrete-time sliding mode control systems , 1987 .

[15]  Kou-Cheng Hsu,et al.  Decentralized variable-structure control design for uncertain large-scale systems with series nonlinearities , 1997 .

[16]  Dragoslav D. Šiljak,et al.  Decentralized control of complex systems , 2012 .

[17]  Sangdeok Park,et al.  Motion control of a quadruped robot in unknown rough terrain using 3D spring damper leg model , 2014 .

[18]  Raza Samar,et al.  Model validation and higher order sliding mode controller design for a research reactor , 2009 .

[19]  G. Monsees,et al.  Discrete-time sliding mode control , 2002 .

[20]  K. Furuta.  Sliding mode control of a discrete system , 1990 .

[21]  Magdi S. Mahmoud,et al.  Decentralized sliding-mode output-feedback control of interconnected discrete-delay systems , 2012, Autom..

[22]  Kang-Bak Park,et al.  Discrete-Time Sliding Mode Controller for Linear Time-Varying Systems with Disturbances , 2000 .

[23]  Aamer I. Bhatti,et al.  Estimating SI Engine Efficiencies and Parameters in Second-Order Sliding Modes , 2011, IEEE Transactions on Industrial Electronics.

[24]  Sarah K. Spurgeon,et al.  Decentralised sliding-mode control for multimachine power systems using only output information , 2003 .