H ∞ Control for Networked Control Systems with Randomly Occurring Packet Losses and Disturbances

This paper considers the control problem for networked control systems(NCSs). In order to solve the problem which comes from discontinuous control signal in NCSs, an approach that discontinuous control signals treat time-varying delayed continuous signals is applied to achieve stability of NCSs. In addition, randomly occurring packet losses and disturbances are considered by introducing stochastic variables with Bernoulli distribution. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find the controller which achieves the mean square stability of NCSs. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.

[1]  Jin Zhou,et al.  Synchronization of sampled-data coupled harmonic oscillators with control inputs missing , 2012, Syst. Control. Lett..

[2]  Zidong Wang,et al.  H∞ filtering with randomly occurring sensor saturations and missing measurements , 2012, Autom..

[3]  H. Fang,et al.  Stabilization of nonlinear networked systems with sensor random packet dropout and time-varying delay , 2011 .

[4]  PooGyeon Park,et al.  Reciprocally convex approach to stability of systems with time-varying delays , 2011, Autom..

[5]  PooGyeon Park,et al.  Robust Η/ spl alpha/ stabilisation of networked control systems with packet analyser [Brief Paper] , 2010 .

[6]  Emilia Fridman,et al.  A refined input delay approach to sampled-data control , 2010, Autom..

[7]  Daniel W. C. Ho,et al.  Robust H∞ control for a class of nonlinear discrete time-delay stochastic systems with missing measurements , 2009, Autom..

[8]  Huijun Gao,et al.  Stabilization of Networked Control Systems With a New Delay Characterization , 2008, IEEE Transactions on Automatic Control.

[9]  H. Lam,et al.  Sampled-data fuzzy controller for continuous nonlinear systems , 2008 .

[10]  Xu Bu-gong.  Scheduling of networked control systems under resource constraints , 2008 .

[11]  Emilia Fridman,et al.  Input/output delay approach to robust sampled-data Hinfinity control , 2005, Syst. Control. Lett..

[12]  E. Fridman,et al.  Input / output delay approach to robust sampled-data H ∞ control , 2005 .

[13]  Long Wang,et al.  Output feedback control of networked control systems , 2003, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483).

[14]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[15]  Karl Johan Åström,et al.  Adaptive Control , 1989, Embedded Digital Control with Microcontrollers.

[16]  D. D. Perlmutter,et al.  Stability of time‐delay systems , 1972 .