Observer-based networked control with probabilistic interval input delays

In this paper, the problem of observer-based control is investigated for networked control systems (NCSs) with probabilistic interval distribution communication delays. In the presence of network-induced delays and packet dropouts in the sensor-to-controller and controller-to-actuator connections, a new model for an observer-based NCS is established, which is then converted to an equivalent linear system with two random time-varying delays satisfying Bernoulli distributions. By utilizing information concerning the probability distribution of the delays and by adopting a tighter bounding technique, less conservative asymptotic mean-square stable sufficient conditions are derived in the form of linear matrix inequalities (LMIs). Numerical examples are provided to demonstrate the effectiveness of the proposed method.

[1]  Hamid Reza Karimi,et al.  Observer-Based Mixed H2/H∞ Control Design for Linear Systems with Time-Varying Delays: An LMI Approach , 2008 .

[2]  Huijun Gao,et al.  Robust sampled-data H∞ control with stochastic sampling , 2009, Autom..

[3]  Hanyong Shao,et al.  New delay-dependent stability criteria for systems with interval delay , 2009, Autom..

[4]  J.P. Hespanha,et al.  Designing an observer-based controller for a network control system , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[5]  Fuwen Yang,et al.  H∞ control for networked systems with random communication delays , 2006, IEEE Trans. Autom. Control..

[6]  Dong Yue,et al.  A delay distribution based stability analysis and synthesis approach for networked control systems , 2009, J. Frankl. Inst..

[7]  Fei Liu,et al.  Observer-based H∞ control on stochastic nonlinear systems with time-delay and actuator nonlinearity , 2013, J. Frankl. Inst..

[8]  D. Ho,et al.  Robust stabilization for a class of discrete-time non-linear systems via output feedback: The unified LMI approach , 2003 .

[9]  Dong Yue,et al.  Stabilization of Systems With Probabilistic Interval Input Delays and Its Applications to Networked Control Systems , 2009, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[10]  Qing-Long Han,et al.  Delay-dependent robust stability for uncertain linear systems with interval time-varying delay , 2006, Autom..

[11]  Hamid Reza Karimi,et al.  Network-based H∞ output feedback control for uncertain stochastic systems , 2013, Inf. Sci..

[12]  Colin J. Fidge,et al.  Multifractal Nature of Network Induced Time Delay in Networked Control Systems , 2007 .

[13]  Hamid Reza Karimi,et al.  Observer-Based Stabilization of Stochastic Systems with Limited Communication , 2012 .

[14]  Qing-Long Han,et al.  A New $H_{{\bm \infty}}$ Stabilization Criterion for Networked Control Systems , 2008, IEEE Transactions on Automatic Control.

[15]  Fuwen Yang,et al.  Robust $H_{\infty}$ Control for Networked Systems With Random Packet Losses , 2007, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[16]  Chen Peng,et al.  Communication-Delay-Distribution-Dependent Networked Control for a Class of T–S Fuzzy Systems , 2010, IEEE Transactions on Fuzzy Systems.

[17]  Qing-Long Han,et al.  On Hinfinity control for linear systems with interval time-varying delay , 2005, Autom..

[18]  Fuwen Yang,et al.  Observer-based networked control for continuous-time systems with random sensor delays , 2009, Autom..

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

[20]  Jia You,et al.  Observer-based controller design for networked control systems with sensor quantisation and random communication delay , 2012, Int. J. Syst. Sci..

[21]  Shinji Hara,et al.  Sum-of-Squares Decomposition via Generalized KYP Lemma , 2009, IEEE Transactions on Automatic Control.

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

[23]  Yong He,et al.  Delay-dependent criteria for robust stability of time-varying delay systems , 2004, Autom..

[24]  Hamid Reza Karimi,et al.  Observer-Based Mixed H₂/H ∞ Control Design for Linear Systems with Time-Varying Delays , 2008 .

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

[26]  Emilia Fridman,et al.  Robust sampled-data stabilization of linear systems: an input delay approach , 2004, Autom..