Quantized H∞ output feedback control for linear discrete-time systems

Abstract This paper investigates the robust H ∞ dynamic output feedback control problem for networked control systems (NCSs) with quantized measurements. The measurement losses of the communicated information are considered in an unreliable communication channel. The robust H ∞ dynamic output feedback controllers are designed to handle the measurement losses and mitigate the quantization effects such that the resultant closed-loop NCS is mean-square stochastically stable with a prescribed H ∞ disturbance attenuation performance. The controller existence conditions can be derived in terms of linear matrix inequalities (LMIs). Finally, an example is provided to illustrate the effectiveness of the proposed approach.

[1]  Linda Bushnell,et al.  Stability analysis of networked control systems , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[2]  B. Widrow,et al.  Statistical theory of quantization , 1996 .

[3]  Wen-an Zhang,et al.  H∞ control for network-based systems with time-varying delay and packet disordering , 2011, J. Frankl. Inst..

[4]  Daniel W. C. Ho,et al.  Robust $H_{\infty }$ Fuzzy Output-Feedback Control With Multiple Probabilistic Delays and Multiple Missing Measurements , 2010, IEEE Transactions on Fuzzy Systems.

[5]  Jia You,et al.  H∞ filtering for sampled-data stochastic systems with limited capacity channel , 2011, Signal Process..

[6]  Ming Liu,et al.  State estimation and stabilization for nonlinear networked control systems with limited capacity channel , 2011, J. Frankl. Inst..

[7]  J. Kurths,et al.  Stochastic resonance in an ensemble of bistable systems under stable distribution noises and nonhomogeneous coupling. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Dong Yue,et al.  A new state feedback H∞ control of networked control systems with time-varying network conditions , 2012, J. Frankl. Inst..

[9]  Honghai Liu,et al.  Robust quantised control for active suspension systems , 2011 .

[10]  Guanrong Chen,et al.  New criteria for synchronization stability of general complex dynamical networks with coupling delays , 2006 .

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

[12]  Peter Seiler,et al.  Estimation with lossy measurements: jump estimators for jump systems , 2003, IEEE Trans. Autom. Control..

[13]  James Lam,et al.  $H_{\bm \infty}$ Fuzzy Filtering of Nonlinear Systems With Intermittent Measurements , 2009, IEEE Transactions on Fuzzy Systems.

[14]  James Lam,et al.  A new delay system approach to network-based control , 2008, Autom..

[15]  Huijun Gao,et al.  A new approach to quantized feedback control systems , 2008, Autom..

[16]  Bruno Sinopoli,et al.  Kalman filtering with intermittent observations , 2004, IEEE Transactions on Automatic Control.

[17]  Yugang Niu,et al.  Stabilization of Markovian jump linear system over networks with random communication delay , 2009, Autom..

[18]  Wei Xing Zheng,et al.  New Synchronization Stability of Complex Networks With an Interval Time-Varying Coupling Delay , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

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

[20]  Yang Tang,et al.  Multiobjective synchronization of coupled systems. , 2011, Chaos.

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

[22]  D. Delchamps.  Extracting state information form a quantized output record , 1990 .

[23]  Zehui Mao,et al.  Observer based fault-tolerant control for a class of nonlinear networked control systems , 2010, J. Frankl. Inst..

[24]  Sing Kiong Nguang,et al.  Robust H∞ output feedback control of networked control systems with multiple quantizers , 2012, 2011 6th IEEE Conference on Industrial Electronics and Applications.

[25]  Zidong Wang,et al.  Robust Hinfinity finite-horizon filtering with randomly occurred nonlinearities and quantization effects , 2010, Autom..

[26]  Shaosheng Zhou,et al.  H∞ filtering for discrete-time systems with randomly varying sensor delays , 2008, Autom..