Peak-to-Peak Filtering for Networked Nonlinear DC Motor Systems With Quantization

This paper investigates the peak-to-peak filtering problem for a class of networked nonlinear dc motor systems with quantization. The nonlinear dc motor system is modeled by a Takagi–Sugeno (T–S) fuzzy model. Consider that the measurement output signal and the performance output signal of the system are quantized by two static quantizers before being transmitted by the digital communication channel, respectively. Attention is focused on the design of a peak-to-peak filter such that the filtering error system is asymptotically stable and satisfies the prescribed peak-to-peak filtering performance index. Sufficient conditions for such a peak-to-peak filter are expressed in the form of linear matrix inequalities. Finally, an illustrative simulation is given to show the effectiveness of the proposed approach.

[1]  Mathukumalli Vidyasagar,et al.  Optimal rejection of persistent bounded disturbances , 1986 .

[2]  K. Poolla,et al.  An LMI approach to peak-to-peak gain minimisation: filtering and control , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[3]  Kazuo Tanaka,et al.  Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach , 2008 .

[4]  Shengyuan Xu,et al.  Robust stability and stabilization for singular systems with state delay and parameter uncertainty , 2002, IEEE Trans. Autom. Control..

[5]  Emilia Fridman,et al.  Robust H∞ filtering of linear systems with time-varying delay , 2003, IEEE Trans. Autom. Control..

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

[7]  Fuwen Yang,et al.  Robust H/sub /spl infin// filtering for stochastic time-delay systems with missing measurements , 2006, IEEE Transactions on Signal Processing.

[8]  Fuwen Yang,et al.  Robust H-infinity filtering for stochastic time-delay systems with missing measurements , 2006 .

[9]  U. Shaked,et al.  Robust servo synthesis by minimization of induced l/2 and l/i∞ norms , 2007, 2007 IEEE International Symposium on Industrial Electronics.

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

[11]  Yuanqing Xia,et al.  New LMI Approach to Fuzzy $H_{\infty}$ Filter Designs , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[12]  Fei Liu,et al.  Robust peak-to-peak filtering for Markov jump systems , 2010, Signal Process..

[13]  Guang-Hong Yang,et al.  Nonfragile $H_{\infty}$ Filtering of Continuous-Time Fuzzy Systems , 2011, IEEE Transactions on Signal Processing.

[14]  Jianbin Qiu,et al.  $H_{\infty }$ Filtering For Nonlinear Discrete-Time Systems Subject to Quantization and Packet Dropouts , 2011, IEEE Transactions on Fuzzy Systems.

[15]  Xiao-Heng Chang,et al.  Robust Nonfragile $H_\infty$ Filtering of Fuzzy Systems With Linear Fractional Parametric Uncertainties , 2012, IEEE Transactions on Fuzzy Systems.

[16]  Huijun Gao,et al.  Finite-Horizon $H_{\infty} $ Filtering With Missing Measurements and Quantization Effects , 2013, IEEE Transactions on Automatic Control.

[17]  Ligang Wu,et al.  Sensor Networks With Random Link Failures: Distributed Filtering for T–S Fuzzy Systems , 2013, IEEE Transactions on Industrial Informatics.

[18]  Dan Zhang,et al.  $H_\infty$ Filtering for Networked Systems With Multiple Time-Varying Transmissions and Random Packet Dropouts , 2013, IEEE Transactions on Industrial Informatics.

[19]  Qing-Long Han,et al.  Network-based H∞H∞ filtering using a logic jumping-like trigger , 2013, Autom..

[20]  Dong Yue,et al.  Further Studies on Control Synthesis of Discrete-Time T-S Fuzzy Systems via Augmented Multi-Indexed Matrix Approach , 2014, IEEE Transactions on Cybernetics.

[21]  Xiangpeng Xie,et al.  Observer Design of Discrete-Time T–S Fuzzy Systems Via Multi-Instant Homogenous Matrix Polynomials , 2014, IEEE Transactions on Fuzzy Systems.

[22]  Kezhen Han,et al.  Robust full- and reduced-order energy-to-peak filtering for discrete-time uncertain linear systems , 2015, Signal Process..

[23]  Shuping He,et al.  Energy-to-peak filtering for T-S fuzzy systems with Markovian jumping: The finite-time case , 2015, Neurocomputing.

[24]  K. Cheon,et al.  On Replacing PID Controller with Deep Learning Controller for DC Motor System , 2015 .

[25]  Chao Ma,et al.  A Stochastic Sampling Consensus Protocol of Networked Euler–Lagrange Systems With Application to Two-Link Manipulator , 2015, IEEE Transactions on Industrial Informatics.

[26]  journals Iosr,et al.  DC Motor Position Control Using Fuzzy Proportional-Derivative Controllers With Different Defuzzification Methods , 2015 .

[27]  Qing-Long Han,et al.  Network-Based Fault Detection Filter and Controller Coordinated Design for Unmanned Surface Vehicles in Network Environments , 2016, IEEE Transactions on Industrial Informatics.

[28]  Xudong Zhao,et al.  Control of Switched Nonlinear Systems via T–S Fuzzy Modeling , 2016, IEEE Transactions on Fuzzy Systems.

[29]  Husain Ahmed,et al.  A Hybrid of Sliding Mode Control and Fuzzy Gain Scheduling PID Control using Fuzzy Supervisory Switched System for DC Motor Speed Control System , 2016 .

[30]  Jianbin Qiu,et al.  Fuzzy-Model-Based Reliable Static Output Feedback $\mathscr{H}_{\infty }$ Control of Nonlinear Hyperbolic PDE Systems , 2016, IEEE Transactions on Fuzzy Systems.

[31]  Fuwen Yang,et al.  H∞ fault detection filtering for mechanical spring-mass systems over networked systems with incomplete information , 2016 .

[32]  Magdi S. Mahmoud,et al.  Feedback fuzzy control for quantized networked systems with random delays , 2016, Appl. Math. Comput..

[33]  Dong Yue,et al.  A Higher Energy-Efficient Sampling Scheme for Networked Control Systems over IEEE 802.15.4 Wireless Networks , 2016, IEEE Transactions on Industrial Informatics.

[34]  Fuwen Yang,et al.  Event-Based Distributed $H_{\infty }$ Filtering Networks of 2-DOF Quarter-Car Suspension Systems , 2016, IEEE Transactions on Industrial Informatics.

[35]  Xiao-Heng Chang,et al.  Robust energy-to-peak filtering for discrete-time nonlinear systems with measurement quantization , 2017, Signal Process..

[36]  Baocang Ding,et al.  Dynamic Output Feedback-Predictive Control of a Takagi–Sugeno Model With Bounded Disturbance , 2017, IEEE Transactions on Fuzzy Systems.

[37]  Xiao-Heng Chang,et al.  LMI approaches to input and output quantized feedback stabilization of linear systems , 2017, Appl. Math. Comput..

[38]  Qing-Long Han,et al.  An Overview and Deep Investigation on Sampled-Data-Based Event-Triggered Control and Filtering for Networked Systems , 2017, IEEE Transactions on Industrial Informatics.

[39]  Chengzhi Yuan,et al.  Delay Scheduled Impulsive Control for Networked Control Systems , 2017, IEEE Transactions on Control of Network Systems.

[40]  Yongduan Song,et al.  An Optimal Divisioning Technique to Stabilization Synthesis of T–S Fuzzy Delayed Systems , 2017, IEEE Transactions on Cybernetics.

[41]  Xiangpeng Xie,et al.  Observer-Based Non-PDC Control for Networked T–S Fuzzy Systems With an Event-Triggered Communication , 2017, IEEE Transactions on Cybernetics.

[42]  Ju H. Park,et al.  Fuzzy Resilient Energy-to-Peak Filtering for Continuous-Time Nonlinear Systems , 2017, IEEE Transactions on Fuzzy Systems.

[43]  Wei Xing Zheng,et al.  Observer-Based Control for Piecewise-Affine Systems With Both Input and Output Quantization , 2017, IEEE Transactions on Automatic Control.

[44]  Li Yu,et al.  Energy-Efficient Distributed Filtering in Sensor Networks: A Unified Switched System Approach. , 2017, IEEE transactions on cybernetics.

[45]  Q. Han,et al.  Event‐triggered H∞ control for a class of nonlinear networked control systems using novel integral inequalities , 2017 .

[46]  Sing Kiong Nguang,et al.  Distributed Filtering for Discrete-Time T–S Fuzzy Systems With Incomplete Measurements , 2018, IEEE Transactions on Fuzzy Systems.

[47]  Ju H. Park,et al.  Fuzzy Generalized ℋ2 Filtering for Nonlinear Discrete-Time Systems With Measurement Quantization , 2018, IEEE Trans. Syst. Man Cybern. Syst..

[48]  Dan Zhang,et al.  Asynchronous State Estimation for Discrete-Time Switched Complex Networks With Communication Constraints , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[49]  Xinghuo Yu,et al.  Robust Sliding Mode Control for T-S Fuzzy Systems via Quantized State Feedback , 2018, IEEE Transactions on Fuzzy Systems.