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A simple approach for stability margin of discrete systems

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控制理论与应用（英文版） 2011年第4期9卷 567-570页

作者： Yogesh V. HOTE J. R. P. GUPTA D. Roy CHOUDHURY Department of Electrical Engineering Indian Institute of Technology (IIT) Department of Instrumentation and Control Engineering Delhi University Department of Information Technology (I.T.) M.A.I.T.

In this paper, a technique is presented to determine the stability margin of the discrete systems using recursive algorithm for power of companion matrix and Gerschgorin Theorem and hence sufficient condition of stability is obtained. The method is illustrated with an example and it is compared with other methods proposed in the literature. The results have applications in the filter design.

关键词： Gerschgorin theorem Power of companion matrix discrete systems Stability margin

The Stability of Nonlinear Time-Delay discrete systems

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systems Science and systems Engineering 1999年第1期9卷 27-39页

作者： XIAO Hui-min(Dept. of Info.Henan University of Finance & Economics, Zhengzhou 450052, China)YUAN Fu-Shun(Dept. of System Science and Mathematics, ZhengZhou University, Zhengzhou 450052, China)

In this paper, the stability of nonlinear time-delay discrete systems is investigated bymeans of the Gauss-Seidel iteration method. Some algebraic criteria of the stability are obtained. Theconstruction of Lyapunov fu... 详细信息

关键词： noalinear time-Delay discrete systems gauss-seidel iteration mothod stability

Distance-Stability of Nonlinear discrete systems

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Chinese Quarterly Journal of Mathematics 1993年第3期8卷 45-49页

作者：曹守明肖会敏 Department of Information.Henan University of Finance and Economics

In this paper,the distance-sability of nonlinear discrete system is investigated by means of the Gauss-Seidel iteration *** algebric criteria of the distance-stability are *** of Lyapunov function is avoided.

关键词： nonlinear discrete systems distance-stability Gauss-Seidel iteration method

Stabilization of discrete nonlinear systems based on control Lyapunov functions

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Journal of systems Engineering and Electronics 2008年第1期19卷 131-133页

作者： Cai Xiushan Wang Xiaodong Lü Ganyun Coll. of Mathematics Physics and Information Engineering Zhejiang Normal Univ. Jinhua 321004 P.R. China

The stabilization of discrete nonlinear systems is studied. Based on control Lyapunov functions, a sufficient and necessary condition for a quadratic function to be a control Lyapunov function is given. From this condition, a continuous state feedback law is constructed explicitly. It can globally asymptotically stabilize the equilibrium of the closed-loop system. A simulation example shows the effectiveness of the proposed method.

关键词： control Lyapunov functions discrete systems stabilization

Synchronization of coupled discrete systems with competitive interactions and time-varying topologies

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Synchronization of coupled discrete systems with competitive...

第37届中国控制会议

作者： Shidong Zhai Pei Liu Chongqing Key Laboratory of Complex systems and Bionic Control Chongqing University of Posts and Telecommunications

This paper investigates synchronization for coupled discrete systems with competitive interactions and time-varying topologies. Assume that the network is influenced by norm-bounded disturbances. When all agents can be divided into two hostile camps and the members of hostile camps are unchanged as time goes on, we obtain some sufficient conditions such that the coupled discrete system achieves BS（bipartite synchronization） and BBS（bounded bipartite synchronization） ***, a numerical example is given to illustrate obtained results.

关键词： Synchronization signed graphs discrete systems

Optimal tracking Controller for discrete systems with Time-Delayed in State and Input under Disturbance

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Optimal tracking Controller for Discrete Systems with Time-D...

第二十九届中国控制会议

作者： HAN Shiyuan 1,TANG Gongyou 1,LIU Hailin 1 College of Information Science and Engineering,Ocean University of China,Qingdao 266100,P.R.China

The optimal tracking controller for discrete-time systems with time-delayed in state and input under disturbance is *** introducing a variable transformation,the system with disturbance and time-delayed in state and input is transformed into a non-delayed system with disturbance,and the quadratic performance index of the optimal tracking control is transformed into a relevant *** optimal tracking control law is obtained using maximum *** introducing a reduced-order observer to reconstruct the state of the exosystem,the problem of physically realizable of the optimal output tracking control law can be *** results demonstrate the effectiveness of the optimal tracking control law.

关键词： Optimal Control discrete systems Disturbance Time Delay Observer

Observer Design for Linear discrete systems with Delayed Measurements and Disturbances

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Observer Design for Linear Discrete Systems with Delayed Mea...

第二十九届中国控制会议

作者： YU Yang 1,LI Juan 1,ZHAO You-Gang 21.College of Mechanical and Electrical Engineering,Qingdao Agricultural University,Qingdao 266109,P.R.China 2.College of Science and Information,Qingdao Agricultural University,Qingdao 266109,P.R.China

This paper researches the approach of observer design for linear discrete systems with delayed measurements and disturbances.A functional-based delay-free transform is given,which transforms the system with delayed measurements and disturbances into a delay-free one ***,a novel reduced-order state observer is presented for the original systems with the delayed measurements and *** results demonstrate the effectiveness of the delay-free transform and observer design approach.

关键词： Observer Delay systems Delay-Free Transform discrete systems

Reduced-order Observer for discrete systems with Noises,Delayed Controls and Outputs

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Reduced-order Observer for Discrete Systems with Noises,Dela...

第三十届中国控制会议

作者： XU Chun-Hong~1,LI Juan~(1,2*),MU Li-Jun~3,ZHANG Peng~1,LI Sheng-Duo~1 1.College of Mechanical and Electrical Engineering,Qingdao Agricultural University,Qingdao 266109,P.R.China 2.Department of Automation,Tsinghua University,Beijing 100084,P.R.China 3.College of Mathematical Science and Physics,Qingdao University of Science and Technology,Qingdao 266061,P.R.China

＜正＞This article researches the observer design approaches for discrete systems with noises,delayed controls and outputs. An approach to delay-free transformation and a novel observer are ***,a discrete system with delays and noises is transformed into a delay-free system in *** on the transformed system,a novel reduced-order state observer is proposed for the original system with noises,control delays and outputs *** example demonstrates the feasibility and effectiveness of the delay-free transformation and observer design approaches.

关键词： Observer Time Delay Delay-Free Transformation discrete systems

Robust Non-fragile H∞ Control for Nonlinear Uncertain discrete systems with Time-delays in State and Input

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Robust Non-fragile H∞ Control for Nonlinear Uncertain Discr...

第30届中国控制与决策会议

作者： Fu Xingjian Pang Xinrui Li Yingchun School of Automation Beijing Information Science and Technology University

This paper is concerned with the robust stability problem for a class of nonlinear uncertain discrete system with both states and input delays. The robust non-fragile H controller with time-delay and uncertainties in the system parameters is designed. The uncertainties are norm-bounded and the states of the uncertain systems are available. Based on Lyapunov function method, some criteria are established to ensure the asymptotic stability and disturbance attenuation for the uncertain systems. The linear matrix inequality(LMI) optimization approach is used to solve the H control disturbance attenuation problem. The significant improvement results for the uncertain discrete systems have been reached. The software Matlab can be applied to solve the proposed linear matrix inequality. Finally, numerical example is given to illustrate the improvement validity in this paper.

关键词： Uncertainty time-delay discrete systems non-fragile robust H∞ control