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Modeling and stabilization for a class of nonlinear networked control systems: A T-S fuzzy approach

Progress in Natural Science:Materials International 2008年第8期18卷 1031-1037页

作者： Xinchun Jiaa,*, Dawei Zhanga, Lihong Zheng a, Nanning Zheng b a School of Mathematics Science, Shanxi University, Taiyuan 030006, China b Institute of Artificial Intelligent and Robotics, Xi’an Jiaotong University, Xi’an 710049, China School of Mathematics Science Shanxi University Taiyuan 030006 China Institute of Artificial Intelligent and Robotics Xi’an Jiaotong University Xi’an 710049 China

The stabilization problem for a class of nonlinear networked control systems (NCSs) is investigated in this paper. A Takagi-Sugeno (T-S) fuzzy model is employed to represent the nonlinear controlled plant in the NCSs. Based on parallel distributed compensation (PDC) technique, a novel model of the nonlinear NCSs is established firstly in consideration of both network-induced delay and packet losses in transmission. Then a stability condition of the nonlinear NCSs is presented in terms of linear matrix inequalities (LMIs) by using the Lyapunov-Krasovskii functional method and the delay input approach. Furthermore, the control design of the nonlinear NCSs is developed by means of LMIs. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

关键词： nonlinear networked control systems Takagi–Sugeno (T-S) fuzzy systems Stabilization Packet losses Network-induced delay Linear matrix inequality (LMI)

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Sliding Mode Observer-Based Fault Estimation for nonlinear networked control systems

Sliding Mode Observer-Based Fault Estimation for Nonlinear N...

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第二十七届中国控制会议

作者： Mao Zehui,Jiang Bin College of Automation Engineering Nanjing University of Aeronautics and Astronautics,Nanjing 210016,P.R.China

In this paper,a novel sliding mode observer-based fault estimation（FE） method is presented for a class of the nonlinear networked control systems（NCSs） with Markov transfer ***,the nonlinear NCS is modelled by a nonlinear discrete Takagi-sugeno（T-S） fuzzy model using Euler approximate ***,a sliding mode based nonlinear discrete observer is proposed such that the sliding motion of the error dynamical system is asymptotically stable on a designed *** the FE can be achieved through this ***,an example is included to show the efficiency of the proposed method.

关键词： nonlinear networked control systems Fault estimation Sliding mode observer

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Output Tracking control for Discrete-Time nonlinear networked control systems via a Non-PDC Scheme

Output Tracking Control for Discrete-Time Nonlinear Networke...

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第二十九届中国控制会议

作者： CHI Xiaobo 1,JIA Xinchun 1,ZHANG Su1,WANG Xiaokai 2 1.School of Mathematical Sciences,Shanxi University,Taiyuan 030006,P.R.china2.College of Physics&Electronics Engineering,Shanxi University,Taiyuan 030006,P.R.china

This paper investigates the problem of fuzzy output tracking control for networked control systems with data packet dropout,where the controlled plant is a class of nonlinear discrete-time systems with external *** the proposed tracking control framework,the controlled plant and the tracked plant are distributed in a wide area,*** data packet dropout phenomenon is assumed to occur in a random way,and the probability for each network channels is governed by an individual Bernoulli *** Takagi and Sugeno（T-S）fuzzy model is employed to represent the controlled plant and a non-parallel distributed compensation（non-PDC）scheme is adopted for the output tracking control *** a result,a new model with stochastic parameters is ***,a fuzzy Lyapunov function（FLF）is constructed to derive a sufficient condition such that the modified H $ tracking performance is achieved for the closed-loop networked tracking control ***,a numerical procedure based on cone complementarity linearization algorithm is given for the fuzzy tracking ***,a simulation example shows the effectiveness of the proposed tracking control scheme.

关键词： nonlinear networked control systems T-S Fuzzy Model Output Tracking control Data Packet Dropout

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Delay-fractioning-dependent Robust Stabilization of nonlinear networked control systems

Delay-fractioning-dependent Robust Stabilization of Nonlinea...

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2010 Chinese control and Decision Conference

作者： Engang Tian~1,Dong Yue~2,Chen Peng~1 1.School of Electrical and Automation engineering,Nanjing Normal University,Nanjing,210042,China 2.Department of control Science and Engineering,Huazhong University of Science and Technology,Wuhan,China

＜正＞A Delay-fractioning-dependent method is proposed to investigate the stability and stabilization for nonlinear networked control systems（NNCSs）,which are presented in the form of T-S fuzzy model with time-varying input delay. Different from the existing method in dealing with the time-varying delay,the whole variation interval of the delay is divided into two subintervals with equal *** for the delay belonging to different subintervals,new criteria on stability analysis of the NNCSs are obtained by checking the variation of the derivative of the Lyapunov functional in the two ***,criteria for the stability of the NNCSs are obtained by using the convexity properties of the matrix inequality and some other new analysis techniques,which are shown in terms of nonlinear matrix inequalities and can be solved by using a cone complementarity liberalization *** examples show that the proposed method can reduce the conservativeness greatly.

关键词： nonlinear networked control systems Delay-Fractioning-Dependent Lyapunov functional

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Fuzzy H∞ Tracking control for a Class of nonlinear networked control systems with a Discrete Event-triggered Communication Scheme

Fuzzy H∞ Tracking Control for a Class of Nonlinear Networke...

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第25届中国控制与决策会议

作者： De-Zhi He Xin-Chun Jia Xiao-Bo Chi Wei-Wei Ma School of Mathematical Sciences Shanxi University

This paper investigates the fuzzy H∞ tracking control problem for a class of nonlinear networked control systems （nonlinear NCSs） via the Takagi-Sugeno （T-S） fuzzy model. Introducing a novel discrete event-triggered communication scheme and considering the effect of transmission delay, a new fuzzy H∞ . tracking model of nonlinear NCSs is established with a delay system approach. Based on a fuzzy Lyapunov function approach, a co-design method for tracking feedback control gain and trigger parameters that guarantee the prescribed H∞ tracking performance of nonlinear NCSs is derived in terms of linear matrix inequalities. Finally, a numerical example is given to show the effectiveness of the proposed method.

关键词： nonlinear networked control systems Tracking control Event-triggered Scheme Takagi-Sugeno (T-S) fuzzy model.

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