Guaranteed cost control of networked control systems based on delta operator Kalman filter

In this paper, the problem of guaranteed cost control for networked control systems is addressed by using delta operator Kalman filter approach. To cope with network‐induced delays and packet dropout, we take into account the quality‐of‐service of networks. The networked control system is described as a kind of delayed Markovian jump delta operator systems. Sufficient conditions for the solvability of underlying problem are derived in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed techniques. Copyright © 2012 John Wiley & Sons, Ltd.

[1]  T. K. C. Peng,et al.  Adaptive Guaranteed Cost of Control of Systems with Uncertain Parameters , 1970 .

[2]  Graham C. Goodwin,et al.  Rapprochement between continuous and discrete model reference adaptive control , 1986, Autom..

[3]  G. Goodwin,et al.  Connection between continuous and discrete Riccati equations with applications to kalman filtering , 1988 .

[4]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[5]  Mo-Yuen Chow,et al.  Gain adaptation of networked DC motor controllers based on QoS variations , 2003, IEEE Trans. Ind. Electron..

[6]  J.P. Hespanha,et al.  Estimation under uncontrolled and controlled communications in Networked Control Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[7]  Suk Lee,et al.  QoS-based remote control of networked control systems via Profibus token passing protocol , 2005, IEEE Trans. Ind. Informatics.

[8]  Yuanqing Xia,et al.  On designing of sliding-mode control for stochastic jump systems , 2006, IEEE Transactions on Automatic Control.

[9]  Dan Simon,et al.  Optimal State Estimation: Kalman, H∞, and Nonlinear Approaches , 2006 .

[10]  Yuanqing Xia,et al.  Networked Predictive Control of Systems With Random Network Delays in Both Forward and Feedback Channels , 2007, IEEE Transactions on Industrial Electronics.

[11]  Peng Shi,et al.  Sampled-data control of networked linear control systems , 2007, Autom..

[12]  George W. Irwin,et al.  Wireless networked control systems with QoS-based sampling , 2007 .

[13]  Luca Schenato,et al.  Optimal Estimation in Networked Control Systems Subject to Random Delay and Packet Drop , 2008, IEEE Transactions on Automatic Control.

[14]  Young Soo Suh.  Stability and stabilization of nonuniform sampling systems , 2008, Autom..

[15]  Jingcheng Wang,et al.  STOCHASTIC OBSERVER-BASED GUARANTEED COST CONTROL FOR NETWORKED CONTROL SYSTEMS WITH PACKET DROPOUTS , 2008 .

[16]  王玉龙,et al.  基于主动变采样周期方法的网络控制系统的 H ∞ 控制器设计 , 2008 .

[17]  J. Qiu,et al.  Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators , 2008 .

[18]  P. Shi,et al.  Robust adaptive sliding mode control for uncertain delta operator systems , 2009 .

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

[20]  Guanghong Yang,et al.  H∞ Controller Design for Networked Control Systems via Active-varying Sampling Period Method , 2009 .

[21]  James Lam,et al.  Stabilization of Networked Control Systems With a Logic ZOH , 2009, IEEE Transactions on Automatic Control.

[22]  Yuanqing Xia,et al.  Observer-based sliding mode control for a class of discrete systems via delta operator approach , 2010, J. Frankl. Inst..

[23]  Yuanqing Xia,et al.  A Novel Delta Operator Kalman Filter Design and Convergence Analysis , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[24]  V. Veselý,et al.  ROBUST GUARANTEED COST CONTROLLER DESIGN FOR NETWORKED CONTROL SYSTEMS: DISCRETIZED APPROACH , 2011 .

[25]  Yuanqing Xia,et al.  Stability of Markovian Jump Systems over Networks via Delta Operator Approach , 2012, Circuits Syst. Signal Process..

[26]  Guanghong Yang,et al.  CONTROL FOR NETWORKED CONTROL SYSTEMS WITH QUANTIZATION AND RANDOM COMMUNICATION DELAYS , 2022 .