Networked Control With State Reset and Quantized Measurements: Observer-Based Case

Quantization has been an important research area for a long time for networked control systems. This paper addresses the problem of a reset state observer (RSO)-based control (RSOC) for linear systems using quantized measurements. According to the characteristic of the logarithmic quantizer, an RSOC is presented based on the standard one to suppress sensor quantization effects. By using the Lyapunov approach, the closed-loop system is still asymptotically stable when the reset technique is introduced. The observer and controller gains of the closed-loop systems are obtained via solving linear matrix inequalities. At last, a numerical example is given to illustrate the effectiveness of the proposed results.

[1]  Peng Shi,et al.  Stability, ${l}_{2}$ -Gain and Asynchronous ${H}_{{\infty}}$ Control of Discrete-Time Switched Systems With Average Dwell Time , 2009, IEEE Transactions on Automatic Control.

[2]  Chang-Hua Lien,et al.  LMI optimization approach on robustness and H∞ control analysis for observer-based control of uncertain systems , 2008 .

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

[4]  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.

[5]  Sekhar Tatikonda,et al.  Control over noisy channels , 2004, IEEE Transactions on Automatic Control.

[6]  Mo-Yuen Chow,et al.  Networked Control System: Overview and Research Trends , 2010, IEEE Transactions on Industrial Electronics.

[7]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2005, IEEE Transactions on Automatic Control.

[8]  James Lam,et al.  Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions , 2010, IEEE Transactions on Automatic Control.

[9]  Chang-Hua Lien,et al.  Robust observer-based control of systems with state perturbations via LMI approach , 2004, IEEE Transactions on Automatic Control.

[10]  Huijun Gao,et al.  Network-Based ${{\cal H}}_{\!\!\!\infty }$ Output Tracking Control , 2008, IEEE Transactions on Automatic Control.

[11]  Huijun Gao,et al.  Network-Induced Constraints in Networked Control Systems—A Survey , 2013, IEEE Transactions on Industrial Informatics.

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

[13]  Qiang Ling,et al.  Stability of quantized control systems under dynamic bit assignment , 2005, IEEE Transactions on Automatic Control.

[14]  Torbjörn Wigren,et al.  Optimal recursive state estimation with quantized measurements , 2000, IEEE Trans. Autom. Control..

[15]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[16]  Chen Yul.  Network-Based H_∞ Output Tracking Control for a Type of Discrete Time Systems , 2014 .

[17]  Dragan Nesic,et al.  A Unified Framework for Design and Analysis of Networked and Quantized Control Systems , 2009, IEEE Transactions on Automatic Control.

[18]  Honghai Liu,et al.  Adaptive Sliding-Mode Control for Nonlinear Active Suspension Vehicle Systems Using T–S Fuzzy Approach , 2013, IEEE Transactions on Industrial Electronics.

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

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

[21]  Wei Wang,et al.  $H_{\infty}$ Control for Networked Predictive Control Systems Based on the Switched Lyapunov Function Method , 2010, IEEE Transactions on Industrial Electronics.

[22]  Yugang Niu,et al.  Robust Filtering Design for Stochastic System With Mode-Dependent Output Quantization , 2010, IEEE Transactions on Signal Processing.

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

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

[25]  Nicola Elia,et al.  Quantized control with applications to mobile vehicles , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[26]  Minyue Fu,et al.  A Reset State Estimator for Linear Systems to Suppress Sensor Quantization Effects , 2008 .

[27]  Suk Lee,et al.  Remote Fuzzy Logic Control of Networked Control System Via Profibus-DP , 2002 .

[28]  Ahmet Onat,et al.  Control Over Imperfect Networks: Model-Based Predictive Networked Control Systems , 2011, IEEE Transactions on Industrial Electronics.

[29]  Joono Sur,et al.  State Observer for Linear Time-Invariant Systems With Quantized Output , 1998 .

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

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

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

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

[34]  R. Evans,et al.  Stabilization with data-rate-limited feedback: tightest attainable bounds , 2000 .

[35]  Lihua Xie,et al.  Output feedback H∞ control of systems with parameter uncertainty , 1996 .

[36]  L. Meier.  Estimation and control with quantized measurements , 1971 .

[37]  Minyue Fu,et al.  State Estimation Using Quantized Measurements , 2008 .

[38]  Lihua Xie,et al.  Finite-Level Quantized Feedback Control for Linear Systems , 2009, IEEE Transactions on Automatic Control.

[39]  H. Ishii,et al.  Remote control of LTI systems over networks with state quantization , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[40]  D. Delchamps.  Stabilizing a linear system with quantized state feedback , 1990 .

[41]  D. Delchamps.  Controlling the flow of information in feedback systems with measurement quantization , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[42]  Honghai Liu,et al.  Reliable Fuzzy Control for Active Suspension Systems With Actuator Delay and Fault , 2012, IEEE Transactions on Fuzzy Systems.

[43]  Daizhan Cheng,et al.  Characterizing the synchronizability of small-world dynamical networks , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.