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H_∞ output tracking control for flight control systems with time-varying delay

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Chinese Journal of Aeronautics 2013年第5期26卷 1251-1258页

作者： Zhang Yingxin Wang Qing Dong Chaoyang Jiang Yifan School of Automation Science and Electrical Engineering Beihang University School of Aeronautic Science and Engineering Beihang University

For flight control systems with time-varying delay, an H∞ output tracking controller is proposed. The controller is designed for the discrete-time state-space model of general aircraft to reduce the effects of uncertainties of the mathematical model, external disturbances, and bounded time-varying delay. It is assumed that the feedback-control loop is closed by the communication network, and the network-based control architecture induces time-delays in the feedback information. Suppose that the time delay has both an upper bound and a lower bound. By using the Lyapu- nov-Krasovskii function and the linear matrix inequality （LMI）, the delay-dependent stability criterion is derived for the time-delay system. Based on the criterion, a state-feedback H∞ output tracking controller for systems with norm-bounded uncertainties and time-varying delay is presented. The control scheme is applied to the high incidence research model （HIRM）, which shows the effectiveness of the proposed approach.

关键词： Discrete time control systems Flight control systems H∞ output tracking time-varying delay Uncertainty

Stability analysis of cellular neural networks with time-varying delay

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Journal of Systems Engineering and Electronics 2009年第2期20卷 266-273页

作者： Wang Xingang1,4, Zhang Dongmei2 & Liu Jun3 1. Coll. of Information Engineering, Zhejiang Univ. of Technology, Hangzhou 310032, P. R. China 2. Coll. of Science, Zhejiang Univ. of Technology, Hangzhou 310032, P. R. China 3. Coll. of Science, Beihua Univ., Jilin 132000, P. R. China 4. School of Computer Engineering and Science, Shanghai Univ., Shanghai 200072, P. R. China Coll. of Information Engineering Zhejiang Univ. of Technology Hangzhou 310032 P. R. China School of Computer Engineering and Science Shanghai Univ. Shanghai 200072 P. R. China Coll. of Science Zhejiang Univ. of Technology Hangzhou 310032 P. R. China Coll. of Science Beihua Univ. Jilin 132000 P. R. China

The global asymptotic stability of cellular neural networks with delays is investigated. Three kinds of time delays have been considered. New delay-dependent stability criteria are proposed and are formulated as the feasibility of some linear matrix inequalities, which can be checked easily by resorting to the recently developed interior-point algorithms. Based on the Finsler Lemma, it is theoretically proved that the proposed stability criteria are less conservative than some existing results.

关键词： cellular neural networks time-varying delay integral inequality

New criteria on delayed state feedback stabilization for stochastic systems with time-varying delay

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Journal of Systems Engineering and Electronics 2013年第3期24卷 519-527页

作者： Shiguo Peng School of Automation Guangdong University of Technology

The problems of robust exponential stability in mean square and delayed state feedback stabilization for uncertain stochastic systems with time-varying delay are studied. By using Jensen＇s integral inequality and combining with the free weighting matrix approach, new delay-dependent stability conditions and delayed state feedback stabilization criteria are obtained in terms of linear matrix inequalities. Meanwhile, the proposed delayed state feedback stabilization criteria are more convenient in application than the existing ones since fewer tuning parameters are involved. Numerical examples are given to illustrate the effectiveness of the proposed methods.

关键词： stochastic system time-varying delay delay-depen- dent exponential stability delayed state feedback stabilization.

Optimal guaranteed cost control for fuzzy descriptor systems with time-varying delay

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Journal of Systems Engineering and Electronics 2008年第3期19卷 584-591页

作者： Tian Weihua1,2 & Zhang Huaguang3 1. School of Information Science and Engineering, Northeastern Univ., Shenyang 110004, P. R. China 2. Dept. of Automatic Control, Shenyang Inst. of Engineering, Shenyang 110136, P. R. China 3. School of Information Science and Engineering, Northeastern Univ., Shenyang 110004, P. R. China. (Received December 27, 2006) School of Information Science and Engineering Northeastern Univ. Shenyang 110004 P. R. China Dept. of Automatic Control Shenyang Inst. of Engineering Shenyang 110136 P. R. China

Based on the delay-independent rule, the problem of optimal guaranteed cost control for a class of Takagi-Sugeno （T-S） fuzzy descriptor systems with time-varying delay is studied. A linear quadratic cost function is considered as the performance index of the closed-loop system. Sufficient conditions for the existence of guaranteed cost controllers via state feedback are given in terms of linear matrix inequalities （LMIs）, and the design of an optimal guaranteed cost controller can be reduced to a convex optimization problem. It is shown that the designed controller not only guarantees the asymptotic stability of the closed-loop fuzzy descriptor delay system, but also provides an optimized upper bound of the guaranteed cost. At last, a numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller.

关键词： fuzzy descriptor systems optimal guaranteed cost control time-varying delay linear matrix inequalities （LMIs）.

Robust Finite-time H_∞ Control of Linear time-varying delay Systems with Bounded Control via Riccati Equations

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International Journal of Automation and computing 2018年第3期15卷 355-363页

作者： Piyapong Niamsup Vu N.Phat Department of Mathematics Faculty of Science Chiang Mai University Institute of Mathematics VAST

In this paper, we will present new results on robust finite-time H∞ control for linear time-varying systems with both time-varying delay and bounded control. delay-dependent sufficient conditions for robust finite-time stabilization and H∞ control are first established to guarantee finite-time stability of the closed-loop system via solving Riccati differential equations. Applications to finite-time H∞ control to a class of linear autonomous time-delay systems with bounded control are also discussed in this paper.Numerical examples are given to illustrate the effectiveness of the proposed method.

关键词： Finite-time stability H∞ control bounded control time-varying delay Riccati equation.

delay-dependent exponential stability of impulsive stochastic systems with time-varying delay

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Journal of Systems Engineering and Electronics 2011年第5期22卷 799-809页

作者： Pei Cheng Feiqi Deng Yunjian Peng Systems Engineering Institute South China University of Technology Guangzhou 510640 P. R. China School of Mathematical Science Anhui University Hefei 230039 P. R. China

The problem of delay-dependent exponential stability is investigated for impulsive stochastic systems with time-varying delay. Although the exponential stability of impulsive stochastic delay systems has been discussed by several authors, few works have been done on delay-dependent exponential stability of impulsive stochastic delay systems. Firstly, the Lyapunov-Krasovskii functional method combing the free-weighting matrix approach is applied to investigate this problem. Some delay-dependent mean square exponential stability criteria are derived in terms of linear matrix inequalities. In particular, the estimate of the exponential convergence rate is also provided, which depends on system parameters and impulsive effects. The obtained results show that the system will stable if the impulses＇ frequency and amplitude are suitably related to the increase or decrease of the continuous flows, and impulses may be used as controllers to stabilize the underlying stochastic system. Numerical examples are given to show the effectiveness of the results.

关键词： impulsive stochastic systems time-varying delay exponential stability linear matrix inequality （LMI）.

Static output feedback stabilization for systems with time-varying delay based on a matrix transformation method

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Science China(Information Sciences) 2015年第1期58卷 188-200页

作者： LIU Zhen Wei ZHANG HuaGuang SUN QiuYe College of Information Science and Engineering Northeastern University State Key Laboratory of Synthetical Automation for Process Industries Northeastern University

This paper is concerned with the problem of static output feedback stabilization for linear systems with time-varying delay. A novel controller design is proposed based on a matrix transformation method with a new equation condition, which can solve the controller gain more easily and avoid complicated calculations of the non-linear matrix inequality. Then, the corresponding criteria can be obtained by combining the matrix transformation method and the ideas of non-uniformly dividing delay interval, which can guarantee the asymptotic stability of the closed-loop systems and calculate the satisfactory controller gain. Finally, two numerical examples are provided to verify the effectiveness of the proposed design scheme.

关键词： static output feedback matrix transformation method time-varying delay non-uniformly dividing delay interval equation condition

Stability of nonlinearly-perturbed systems with time varying delay using LMIs

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Journal of Systems Engineering and Electronics 2013年第6期24卷 1011-1018页

作者： S.Jeeva Sathya Theesar P.Balasubramaniam Institute for Mathematical Sciences University of Malaya Department of Mathematics Gandhigram Rural Institute-Deemed University

This paper studies delay dependent robust stability and the stabilization problem of nonlinear perturbed systems with time varying delay. A new set of sufficient conditions for the stability of open as well as close loop systems are obtained in the sense of Lyapunov-Krasovskii. To reduce the conservatism, the work exploits the idea of splitting the delay interval into multiple equal regions so that less information on the time delay can be imposed to derive the results. The derived criterion not only improves the upper bounds of the time delay but also does not require the derivative of the delay to be known at prior. Easily testable sufficient criteria are presented in terms of linear matrix inequalities. It is shown that the derived conditions are very less conservative while comparing the maximum allowable upper bound of delay with the existing results in literature.

关键词： delay dependent stability time-varying delay nonlinear perturbations

Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control

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Chinese Physics B 2014年第6期23卷 104-117页

作者： R.Rakkiyappan R.Sivasamy S.Lakshmanan Department of Mathematics Bharathiar University Department of Mathematics College of Science UAE University

In this paper, we study the exponential synchronization of chaotic Lur＇e systems with time-varying delays via sampled-data control by using sector nonlinearties. In order to make full use of information about sampling intervals and interval time-varying delays, new Lyapunov-Krasovskii functionals with triple integral terms are introduced. Based on the convex combination technique, two kinds of synchronization criteria are derived in terms of linear matrix inequal- ities, which can be efficiently solved via standard numerical software. Finally, three numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed results.

关键词： exponential synchronization chaotic Lur＇e system time-varying delay sampled-data control