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Acta Mathematicae Applicatae Sinica 2016年第2期32卷 395-406页

作者： Jin-liang LIU Zhou GU Shu-min FEI School of Automation Southeast University College of Information Engineering Nanjing University of Finance and Economics

This paper considers the reliable control design for T-S fuzzy systems with probabilistic actuators faults and random time-varying delays. The faults of each actuator occurs randomly and its failure rates are governed by a set of unrelated random variables satisfying certain probabilistic distribution. In terms of the probabilistic failures of each actuator and time-varying random delays, new fault model is proposed. Based on the new fuzzy model, reliable controller is designed and sufficient conditions for the exponentially mean square stability （EMSS） of T-S fuzzy systems are derived by using Lyapunov functional method and linear matrix inequality （LMI） technique. It should be noted that the obtained criteria depend on not only the size of the delay, but also the probability distribution of it. Finally, a numerical example is given to show the effectiveness of the proposed method.

关键词： reliable control fuzzy system probabilistic failures random delays

reliable control of discrete-time linear systems with actuator failure

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Journal of control and Decision 2020年第4期7卷 345-358页

作者： Mohammad Mahdi Share Pasand Department of Electrical and Electronics Faculty of ElectricalMechanical and Civil EngineeringStandard Research InstitutePO Box 31585-163AlborzIran

A sufficient condition is given for robust stability of a discrete linear system in which an arbitrary portion of input channel is permanently attenuated or disconnected due to actuator *** partial disconnection/attenuation of the control input,is modelled as uncertainty and dealt with via a robust control *** proposed method enables one to design a controller in such a way that the closed loop system remains stable when any combination of input signals is disconnected if the open loop system is stable and fulfils some additional *** is shown that the linear quadratic regulator can guarantee reliable closed loop with some specific choices for weighting *** result is extended to unstable systems by assuming additional constraints on the failed *** to previously established results,the proposed conditions are easier to verify and applicable to a wider class of *** example is also included.

关键词： reliable control robust control linear matrix inequality actuator failure

Robust H_∞ reliable control for uncertain singular systems with state delay

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Journal of Systems Engineering and Electronics 2005年第3期16卷 640-644页

作者：向峥嵘陈庆伟胡维礼 Dept .of Automation Nanjing Univ .of Science and Technology

The problem of robust and H∞ reliable control for a class of uncertain singular systems with state time-delay is concerned. The problem we address is to design a state feedback controller such that the resulting close-loop systems is regular, impulse free and stable for all admissible uncertainties as well as actuator faults among a prespecified subset. A linear matrix inequality （LMI） design approach is proposed to solve the problem addressed with Hoo norm bound constraint on disturbance attenuation. Finally, a numerical example is provided to demonstrate the application of the proposed method.

关键词： singular systems delay systems parameter uncertainties reliable control linear matrix inequality (LMI) H∞ control.

Fault-distribution-dependent reliable control for time-varying delay system

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控制理论与应用（英文版） 2011年第4期9卷 589-593页

作者： Zhou GU Jinliang LIU Lilong DU Engang TIAN School of Power Engineering Nanjing Normal University Nanjing Jiangsu 210042 China College of Information Science and Technology Donghua University Shanghai 201620 China Department of Automation North China Electric Power University Beijing 102206 China Institute of Information and control Engineering Nanjing Normal University Nanjing Jiangsu 210042 China

This paper considers the problem of reliable control for continuous-time systems with interval time-varying delay. By introducing a random matrix, a new practical actuator fault model is established. Using the Lyapunov-Krasovskii approach, a sufficient condition for the existence of reliable controller is expressed by a linear matrix inequality（LMI）. An illustrative example is exploited to show the effectiveness, of the proposed design procedures.

关键词： reliable control Stochastic actuator fault model Time-delay

Event-based reliable control for Linear Networked control Systems

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Event-based Reliable Control for Linear Networked Control Sy...

第36届中国控制会议

作者： Huaibin Xie Songlin Hu Chuangwei Shang College of Automation Nanjing University of Posts and Telecommunications Institute of Advanced Technology Nanjing University of Posts and Telecommunications

ISBN: (纸本)9781538629185

In this paper,the event-triggered reliable control design problem is ***,a more advanced event-triggered algorithm is ***,a robust reliable event-triggered controller is designed which can tolerate a certain of actuator ***,the criteria for asymptotic stability and H-infinity performance analysis are derived in terms of linear matrix ***,some simulation results are given to verify the effectiveness of the proposed method.

关键词： Event-triggering scheme reliable control Linear matrix inequality

Novel reliable control Designs for Discrete-Time Takagi-Sugeno Fuzzy Systems with Actuators Faults 25th

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Novel Reliable Control Designs for Discrete-Time Takagi-Suge...

第25届中国控制与决策会议

作者： Dan Zhao Fengmei Tao Bing Liu Dejun Guan Department of Mathematics Anshan Normal University Educational Administration Shenyang Radio and TV University

ISBN: (纸本)9781467355339

This paper is concerned with the problem of reliable control designs for a class of discrete-time nonlinear systems with actuators faults based on a new kind of fuzzy control law. Firstly, a sufficient condition for the existence of reliable fuzzy control laws is given by using the well-known Lyapunov stability theory, which is in terms of a coupled matrix inequality. Secondly, the underlying coupled matrix inequality is converted into a set of linear matrix inequalities（LMIs）, which can be easily solved via standard numerical software. Due to the introduction of some additional matrix variables, the conservatism is somewhat released than before. Finally, a numerical example is provided to illustrate the effectiveness of the approach proposed in this paper.

关键词： Lyapunov stability theory Actuators faults Discrete-time nonlinear systems reliable control Linear matrix inequalities.

reliable control Synthesis for a Class of Discrete-Time Nonlinear Systems with Actuators Faults

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Reliable Control Synthesis for a Class of Discrete-Time Nonl...

第24届中国控制与决策会议

作者： Zhongxian Qu,the College of science, Northeast Dianli University Aichen Li, You Zhang,School of ComputerScience and Information technology, Northeast Normal University,Changchun, 130117, China. Man Liu the Faculty of Mathematics, Dalian Nationalities University

This paper is concerned with the problem of reliable control synthesis for a class of discrete-time nonlinear systems with actuators faults via the non-parallel distributed compensation（Non-PDC） control law. Sufficient conditions for the existence of reliable fuzzy control laws are proposed in terms of linear matrix inequalities （LMIs）, which could guarantee that the closed-loop system is globally asymptotically stable for a set of different operating regions. Moreover, the conservatism is further reduced by using some slack variable techniques. Finally, a numerical example is also given to illustrate the effectiveness of the approaches proposed in this paper.

关键词： Actuators faults Nonlinear systems Discretetime reliable control Linear matrix inequalities.

reliable control for a Class of Descriptor Systems Dynamic Output Feedback

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Reliable Control for a Class of Descriptor Systems Dynamic O...

2009中国控制与决策会议

作者： Bo Yao~1,Fuzhong Wang~2 2.College of Mathematics and System Science Shenyang Normal University Shenyang 110034,P.R.China 1.Shenyang Institute of Engineering,Shenyang 110136,P.R.China

In the paper,we study dynamic output-feedback Hcontrol and reliable control with sensor faults for continuous-time descriptor *** on the linear matrix inequality(LMI),sufficient condition for dynamic output feedback control and reliable control are proposed.A numerical example is also given to illustrate the design procedures and their ***,comparison of a control system with reliable control and the system without reliable control show the necessity of the reliable control.

关键词： H∞ control dynamics output feedback linear matrix inequality reliable control

reliable control for Switched Systems with Time Delay and Mixed Fault of Actuator

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Reliable Control for Switched Systems with Time Delay and Mi...

2011 Chinese control and Decision Conference（CCDC）

作者： Quan-sheng Wu is with the College of Mathematics and Systems Science Shenyang Normal University,Shenyang 110034,China.Bo Yao is with the College of Mathematics and Systems Science Shenyang Normal University,Shenyang 110034,China. Hao Hu is with the College of Mathematics and Systems Science Shenyang Normal University,Shenyang 110034,China.

Based on mixed fault for actuator,this paper is concerned with reliable control problems for systems with time *** fault is discrete fault model and continuous fault model coexist in a *** proposed method not only quotes the general model but also combines reliable control with switched system,making full use of advantages of both *** can save much energy for reliable controller in *** paper has given a sufficient condition for the existence of reliable controller for general fault model and switched law are derived via the linear matrix inequality approach and convex combination *** examples are given to show the efficiency of the method.

关键词： reliable control Switched system Actuator Failure Mixed fault LMI

reliable control of Uncertain Delayed Discrete-time Systems with SQC

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Reliable Control of Uncertain Delayed Discrete-time Systems ...

第二十九届中国控制会议

作者： ZHANG Xian,YANG Xinrong,LIU Ying School of Mathematical Science,Heilongjiang University,Harbin 150080,P.R.China

The reliable control design problem for uncertain discrete-time systems with control delay and possible actuator failures in the input channels is discussed.A sum quadratic constraint（SQC）performance is proposed,which is a generalization of the H∞ control problem and the passivity control problem of discrete-time *** on Lyapunov quadratic stability criteria and linear matrix inequality（LMI）approach,a sufficient condition is established to guarantee that the closed-loop system with the possible actuator failures satisfy the SQC performance.A provided example shows the applicability of our approach.

关键词： Discrete-time Systems Time Delay Uncertainty reliable control State Feedback Sum Quadratic Constraint