Stabilization of uncertain systems with Markovian modes of time delay and quantization density

This work studies the stabilization of a class of control systems that use communication networks as signal transmission medium. The lateral motion of independently actuated four-wheel vehicle is modeled as an uncertain-linear system. Time delay and quantization density are modeled as Markov chains. The networked control systems U+0028 NCSs U+0029 with plants being lateral motion are first transformed to switched linear systems with uncertain parameters. Sufficient and necessary conditions for the stochastic stability of closed-loop networked control systems are then established. By solving the matrix inequalities, this work presents an output-feedback controller that depends on the modes of time delay and quantization density. The controller performance is illustrated via a vehicular lateral motion system.

[1]  Huijun Gao,et al.  Network-based feedback control for systems with mixed delays based on quantization and dropout compensation , 2011, Autom..

[2]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1996, Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.

[3]  Guo-Ping Liu,et al.  Predictive Output Feedback Control for Networked Control Systems , 2014, IEEE Transactions on Industrial Electronics.

[4]  Donghua Zhou,et al.  Data-Based Predictive Control for Networked Nonlinear Systems With Network-Induced Delay and Packet Dropout , 2016, IEEE Transactions on Industrial Electronics.

[5]  Tiedong Ma,et al.  Parameter estimation and topology identification of uncertain general fractional-order complex dynamical networks with time delay , 2016, IEEE/CAA Journal of Automatica Sinica.

[6]  Reinhard German,et al.  Stochastic and deterministic performance evaluation of automotive CAN communication , 2009, Comput. Networks.

[7]  Qin Luo,et al.  Stability and stabilization of networked control systems with random time delays and packet dropouts , 2013, J. Frankl. Inst..

[8]  James Lam,et al.  Constrained predictive control synthesis for quantized systems with Markovian data loss , 2015, Autom..

[9]  Yang Shi,et al.  Output Feedback Stabilization of Networked Control Systems With Random Delays Modeled by Markov Chains , 2009, IEEE Transactions on Automatic Control.

[10]  Gang Feng,et al.  Fuzzy Decentralized Control for a Class of Networked Systems with Time Delay and Missing Measurements , 2015 .

[11]  Wei Wang,et al.  Input-to-State Stability for Networked Predictive Control With Random Delays in Both Feedback and Forward Channels , 2014, IEEE Transactions on Industrial Electronics.

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

[13]  Rongrong Wang,et al.  Output Constraint Control on Path Following of Four-Wheel Independently Actuated Autonomous Ground Vehicles , 2016, IEEE Transactions on Vehicular Technology.

[14]  Sing Kiong Nguang,et al.  Robust Hinfinity output feedback control of discrete-time networked systems with limited information , 2011, Syst. Control. Lett..

[15]  Karl Henrik Johansson,et al.  Dynamic quantization of uncertain linear networked control systems , 2015, Autom..

[16]  Jian Wang,et al.  Stabilization of a continuous linear system over channel with network-induced delay and communication constraints , 2016, Eur. J. Control.

[17]  Feng Gao,et al.  Study on integrated control of active front steer angle and direct yaw moment , 2002 .

[18]  Mehran Sabahi,et al.  Lateral stabilization of a four wheel independent drive electric vehicle on slippery roads , 2015 .

[19]  Guoxiang Gu,et al.  Networked control systems for multi-input plants based on polar logarithmic quantization , 2014, Syst. Control. Lett..

[20]  Christophe Grand,et al.  Dynamic path tracking control of a vehicle on slippery terrain , 2015 .

[21]  Junmin Wang,et al.  Lateral motion control for four-wheel-independent-drive electric vehicles using optimal torque allocation and dynamic message priority scheduling , 2014 .

[22]  Zongde Fang,et al.  Robust Lateral Motion Control of Electric Ground Vehicles With Random Network-Induced Delays , 2015, IEEE Transactions on Vehicular Technology.

[23]  Stefano Di Cairano,et al.  Lyapunov based predictive control of vehicle drivetrains over CAN , 2013 .

[24]  Karl Henrik Johansson,et al.  Quantized Control Under Round-Robin Communication Protocol , 2016, IEEE Transactions on Industrial Electronics.

[25]  Yoichi Hori,et al.  Lateral Stability Control of In-Wheel-Motor-Driven Electric Vehicles Based on Sideslip Angle Estimation Using Lateral Tire Force Sensors , 2012, IEEE Transactions on Vehicular Technology.

[26]  Yan He,et al.  Quadratic stabilization for linear time-delay systems with a logarithmic quantizer , 2016, Neurocomputing.

[27]  Rongrong Wang,et al.  Robust lateral motion control of four-wheel independently actuated electric vehicles with tire force saturation consideration , 2015, J. Frankl. Inst..

[28]  Tongwen Chen,et al.  A new method for stabilization of networked control systems with random delays , 2005 .

[29]  Huizhong Yang,et al.  Stability of a class of networked control systems with Markovian characterization , 2012 .

[30]  Ce Liu,et al.  Dynamic output‐feedback control for linear systems by using event‐triggered quantisation , 2015 .

[31]  Zhiyong Geng,et al.  A New Model of Networked Control Systems in Robust Control Framework , 2016 .

[32]  Raktim Bhattacharya,et al.  Stability analysis of large-scale distributed networked control systems with random communication delays: A switched system approach , 2015, Syst. Control. Lett..