Discrete-Time Sliding Mode Control for Uncertain Networked System Subject to Time Delay

We deal with uncertain systems with networked sliding mode control, subject to time delay. To minimize the degenerative effects of the time delay, a simpler format of state predictor is proposed in the control law. Some ultimate bounded stability analyses and stabilization conditions are provided for the uncertain time delay system with proposed discrete-time sliding mode control strategy. A numerical example is presented to corroborate the analyses.

[1]  Sarah K. Spurgeon,et al.  A nonlinear control strategy for robust sliding mode performance in the presence of unmatched uncertainty , 1993 .

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

[3]  Hyoung-Woo Kim,et al.  Design of Networked Control System with Discrete-Time State Predictor over WSN , 2014 .

[4]  Eugênio B. Castelan,et al.  A dynamic output feedback controller for NCS based on delay estimates , 2013, Autom..

[5]  James Moyne,et al.  Performance evaluation of control networks: Ethernet, ControlNet, and DeviceNet , 2001 .

[6]  Wrastawa Ridwan,et al.  Networked Control Synthesis Using Time Delay Approach: State Feedback Case , 2011 .

[7]  Jigui Jian,et al.  Robust H∞ Networked Control for Uncertain Fuzzy Systems with Time-delay , 2007 .

[8]  Yuanqing Xia,et al.  Sliding mode control of uncertain linear discrete time systems with input delay , 2007 .

[9]  Yang Shi,et al.  Discrete-time sliding-mode control of uncertain systems with time-varying delays via descriptor approach , 2008 .

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

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

[12]  Sebastián Dormido,et al.  Co-design strategy of networked control systems for treacherous network conditions , 2011 .

[13]  Guoqing Xia,et al.  Network-Based Neural Adaptive Sliding Mode Controller for the Ship Steering Problem , 2013, ICSI.

[14]  Isabelle Queinnec,et al.  Ultimate bounded stability and stabilization of linear systems interconnected with generalized saturated functions , 2011, Autom..

[15]  Feng-Li Lian,et al.  Network design consideration for distributed control systems , 2002, IEEE Trans. Control. Syst. Technol..

[16]  Won-jong Kim,et al.  Networked real-time control strategies dealing with stochastic time delays and packet losses , 2005, Proceedings of the 2005, American Control Conference, 2005..

[17]  Y. Tipsuwan,et al.  Control methodologies in networked control systems , 2003 .

[18]  Yang Yin,et al.  Adaptive Sliding Mode Control of Networked Control Systems with Variable Time Delay , 2011 .

[19]  Emilia Fridman,et al.  Sliding mode control in the presence of input delay: A singular perturbation approach , 2012, Autom..

[20]  João Pedro Hespanha,et al.  A Survey of Recent Results in Networked Control Systems , 2007, Proceedings of the IEEE.

[21]  B. Drazenovic,et al.  The invariance conditions in variable structure systems , 1969, Autom..

[22]  B. Sharmila,et al.  A survey - Networked control systems , 2012 .