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An Improved Approach to delay-dependent Robust Stabilization for Uncertain singular time-delay systems

International Journal of Automation and computing 2010年第2期7卷 205-212页

作者： Xin Sun Qing-Ling Zhang Chun-Yu Yang Zhan Su Yong-Yun Shao Institute of systems Science Northeastern University Shenyang 110004 PRC Key Laboratory of Integrated Automation of Process Industry Ministry of Education Northeastern University Shenyang 110004 PRC Department of Computer and Mathematics Teaching Shenyang Normal University Shenyang 110034 PRC

In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality （LMI）. Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method.

关键词： delay-dependent singular time-delay systems admissible robust stabilization.

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Observer design and output feedback stabilization for linear singular time-delay systems with unknown inputs

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控制理论与应用（英文版） 2008年第2期6卷 177-183页

作者： Peng CUI Chenghui ZHANG School of Control Science and Engineering Shandong University Jinan Shandong 250061 China

The design of a functional observer and reduced-order observer with internal delay for linear singular timedelay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which are normal linear time-delay systems, and the corresponding design steps are presented via linear matrix inequality（LMI）. Moreover, the observer-based feedback stabilizing controller is obtained. Three examples are given to show the effectiveness of the proposed methods.

关键词： singular time-delay systems Functional observer Reduced-order observer Output feedback stabilization Linear matrix inequality(LMI)

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delay-dependent H∞ Control for singular time-delay systems

Delay-dependent H∞ Control for Singular Time-delay Systems

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2010 Chinese Control and Decision Conference

作者： Fan Yang~(1,3),Qingling Zhang~(1,2),Shiyu Zhou~3,Yifu Feng~4 1.Institute of systems Science,Northeastern University,Shenyang 110004 2.Key Laboratory of Integrated Automation of Process Industry,Ministry of Education,Northeastern University,Shenyang 110004 3.Institute of Urban Construction,Tian Jin 300384,China

This paper considers the problems of delay-dependent Hcontrol for singular time-delay systems.A delay-dependent bounded real lemma(BRL) is established to ensure the system to be regular,impulse free,and stable with Hperformance condition in terms of linear matrix inequalities(LMIs).Based on this criterion,sufficient conditions for the existence of Hstate-feedback controller are obtained.

关键词： singular time-delay systems delay-dependent H∞control bounded real lemma(BRL) linear matrix inequalities(LMIs)

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Observer-based Sliding Mode Control of Uncertain singular time-delay systems

Observer-based Sliding Mode Control of Uncertain Singular Ti...

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第三十届中国控制会议

作者： LI Min~(1,2),LI Qiqiang~2,GAO Huanli~3,LIU Fuchun~3 1.College of Electronic Information and Control Engineering,Shandong Polytechnic University,Jinan,250353,P.R.China 2.School of Control Science and Engineering,Shandong University,Jinan 250061,P.R.China 3.College of Automation Science and Engineering,South China University of Technology,Guangzhou 510640,P.R.China

＜正＞This note deals with the problem of designing full order sliding mode control for uncertain singular time-delay systems via cone complementary linearizable iterative *** uncertainties are mismatched and have norm *** estimate the sliding surfaces and the sliding control,a dynamical compensator is *** the equivalent control approach the sliding mode is got,whose stability is analyzed,in the augmented space formed by the system states and the state estimation *** on the estimated state variables and system output,a sliding mode control scheme is developed such that the system is driven to the sliding surface and maintained on it ***,a simulation is presented to show the effectiveness of the results.

关键词： singular time-delay systems Sliding mode control Observer Cone complementary

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delay-dependent Stabilization of singular Linear time delay systems Based on Memory State Feedback Control

Delay-dependent Stabilization of Singular Linear Time Delay ...

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第二十七届中国控制会议

作者： Jiang Zhaohui,Gui Weihua,Xie Yongfang,Yang Chunhua School of Information Science and Engineering,Central South University,Changsha 410083,P.R.China

In this paper,the delay-dependent stabilization problem for singular linear time-delay systems is studied by designing a delay-dependent memory state feedback controller which makes the singular linear time-delay systems regular,impulse free and asymptotically ***,the lemma of descriptor integral-inequality is ***,delay dependent stabilization conditions are established by using the Lyapunov-Krasovskii functional approach combined with a descriptor ***,an LMI based algorithm to design a memory state feedback control that stabilizes the system is ***,a numerical example is presented to illustrate the effectiveness and the availability for the design.

关键词： Descriptor integral-inequality singular time-delay systems Memory state feedback control delay-dependent stability Linear matrix inequality

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Memory State Feedback Stabilization for singular Markovian Jump time-delay systems

Memory State Feedback Stabilization for Singular Markovian J...

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第三十届中国控制会议

作者： GAO Huanli,XU Bugong College of Automation Science and Engineering,South China University of Technology,Guangzhou 510640,P.R.China

＜正＞This note is concerned with the delay-dependent stabilization problem for singular Markovian jump time-delay systems. Attention is focused on the design of memory state feedback controllers to guarantee the resulting closed-loop system to be regular,impulse free and stochastically ***,in terms of the Lyapunov technique and linear matrix inequalities,a delay-dependent condition is established,which guarantees the considered system to be regular,impulse free and stochastically ***,based on this condition,a delay-dependent design algorithm for the desired state feedback controller is proposed in terms of a set of strict linear matrix inequalities（LMIs）.Finally,numerical examples illustrate the validity of the results proposed in this paper.

关键词： singular time-delay systems delay-dependent Markovian jumping parameters Stochastic stability Linear matrix Inequality(LMI)

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delay-dependent Stability Analysis of singular Linear systems with time-Variant delay:A Piecewise Analysis Method

Delay-dependent Stability Analysis of Singular Linear System...

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第三十届中国控制会议

作者： LI Fanbiao,ZHANG Xiant School of Mathematical Science,Heilongjiang University,Harbin 150080,P.R.China

＜正＞This paper deals with the problem of stability analysis for singular systems with time-varying delay based on a piecewise analysis *** method divides the variation interval of the time-delay into several subintervals,and then checks the variation of the time-delay in every subinterval to obtain new less conservative delay-dependent stability *** effectiveness of the proposed approach is shown by a pair of numerical examples.

关键词： singular time-delay systems Piecewise analysis method(PAM) delay-dependent Stability

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delay-dependent stabilization of singular Markovian jump systems with state delay

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控制理论与应用（英文版） 2009年第3期7卷 231-236页

作者： Zhengguang WU Hongye SU Jian CHU National Laboratory of Industrial Control Technology Institute of Cyber-Systems and Control Zhejiang University Hangzhou Zhejiang 310027 China

This paper deals with the delay-dependent stabilization problem for singular systems with Markovian jump parameters and time delays. A delay-dependent condition is established for the considered system to be regular, impulse free and stochastically stable. Based on the condition, a design algorithm of the desired state feedback controller which guarantees the resultant closed-loop system to be regular, impulse free and stochastically stable is proposed in terms of a set of strict linear matrix inequalities （LMIs）. Numerical examples show the effectiveness of the proposed methods.

关键词： singular time-delay systems Markovian jumping parameters delay-dependent Stochastic stability Linear matrix inequality (LMI)

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