A sliding sector approach to quantized feedback variable structure control

This paper is concerned with the quantized feedback quadratic stabilization problem for linear time-invariant systems. Sliding sector based quantized state feedback variable structure control schemes are established. The main benefit of the sliding sector technique is that it can avoid chattering caused by the utilization of variable structure control strategy. With the proposed discrete on-line adjustment of the quantization parameter, it is shown that the proposed sliding sector based sliding mode controllers can tackle state quantization and guarantee quadratic stability of the closed-loop system. Simulation results are given to verify the effectiveness of the proposed method.

[1]  Yuanqing Xia,et al.  Robust sliding-mode control for uncertain time-delay systems: an LMI approach , 2003, IEEE Trans. Autom. Control..

[2]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[3]  Guanghong Yang,et al.  Quantised H∞ filtering for networked systems with random sensor packet losses , 2010 .

[4]  Guanghong Yang,et al.  Quantized output feedback stabilization of uncertain systems with input nonlinearities via sliding mode control , 2014 .

[5]  Xingyu Wang,et al.  Output-feedback control design for NCSs subject to quantization and dropout , 2009, Inf. Sci..

[6]  Christopher Edwards,et al.  Sliding mode control : theory and applications , 1998 .

[7]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[8]  Zhong-Ping Jiang,et al.  Quantized feedback stabilization of hybrid impulsive control systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[9]  Daniel Liberzon,et al.  Hybrid feedback stabilization of systems with quantized signals , 2003, Autom..

[10]  Yaodong Pan,et al.  Variable structure control with sliding sector , 2000, Autom..

[11]  Zhihong Man,et al.  Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems , 2009, IEEE/ASME Transactions on Mechatronics.

[12]  Guang-Hong Yang,et al.  Quantised feedback stabilisation of planar systems via switching-based sliding-mode control , 2012 .

[13]  Sarah K. Spurgeon,et al.  Sliding Mode Control , 1998 .

[14]  Guang-Hong Yang,et al.  Insensitive dynamic output feedback control with mixed-H∞ norm sensitivity minimization , 2013, J. Frankl. Inst..

[15]  PooGyeon Park,et al.  H2 control of continuous-time uncertain linear systems with input quantization and matched disturbances , 2009, Autom..

[16]  Yuanqing Xia,et al.  Robust adaptive sliding mode control for uncertain time-delay systems , 2006, 2006 American Control Conference.

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

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

[19]  Lihua Xie,et al.  Quantized feedback control for linear uncertain systems , 2010 .

[20]  Katsuhisa Furuta,et al.  Variable structure control with sliding sector based on hybrid switching law , 2007 .

[21]  Lihua Xie,et al.  The sector bound approach to quantized feedback control , 2005, IEEE Transactions on Automatic Control.

[22]  Christopher Edwards,et al.  Robust decentralized actuator fault detection and estimation for large-scale systems using a sliding mode observer , 2008, Int. J. Control.