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Global Synchronization of complex Lur’e Networks

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Global Synchronization of Complex Lur’e Networks

第二十六届中国控制会议

作者： Li Zhongkui,duan zhisheng,huang lin state key lab for turbulence and complex systems and department of mechanics and aerospace engineering,college of engineering,peking university,beijing 100871,P.R.china

This paper concerns the global synchronization problem of a class of complex dynamical networks with each node being a Lur’e system whose nonlinearity satisfying a slope *** synchronization problem is reformulated in the framework of the absolute stability *** is shown that the global synchronization of the network can be reduced to the test of a LMI,which in turn guarantees the absolute stability of the corresponding Lur’e system whose dimension is the same as that of a single node.A circle type criterion in frequency domain is further presented,in virtue of which the synchronization of the network can be checked *** is demonstrated that the synchronizabiliby of the network can be characterized by the second largest eigenvalue of its coupling ***,a network of Chua’s oscillators is provided as a simulation example to illustrate the effectiveness of the theoretical results.

关键词： complex dynamical network Lur’e system Global synchronization Circle type criterion linear matrix inequality (LMI)

Disturbance Rejection and H∞ Pinning Control of Networked Multi-Agent systems

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Disturbance Rejection and H∞ Pinning Control of Networked M...

第二十七届中国控制会议

This paper concerns the disturbance rejection problem arising in the coordination control of a group of autonomous agents subject to external *** agent network is said to possess a desired level of disturbance rejection,if the H∞ norm of its transfer function matrix from the disturbance to the controlled output is satisfactorily *** graph is used to represent the information flow between *** is shown that the disturbance rejection problem of an agent network can be solved by analyzing the H∞control problem of a set of independent systems whose dimensions are equal to that of a single node. An interesting result is that the disturbance rejection ability of the whole agent network coupled via feedback of merely relative measurements between agents will never be better than that of an isolated *** improve this,local feedback injections are applied to a small fraction of the agents in the ***,some criteria for possible performance improvement are derived in terms of linear matrix inequalities.

关键词： Coordination control Graph theory Pinning control H∞control linear matrix inequality (LMI)

Robust dichotomy for nonlinear uncertain systems

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Robust dichotomy for nonlinear uncertain systems

第25届中国控制会议

作者： Wang Jinzhi, duan zhisheng, huang lin The state key laboratory for turbulence and complex systems and department of mechanics and engineering Science, peking university, beijing 100871

＜正＞In this paper, properties of dichotomy for nonlinear systems with norm-bounded uncertainty are considered. By using some results of H∞, theory and method of linear matrix inequality （LMI） some criterions of testing robust dichotomy of uncertain nonlinear systems are given. A approach of designing state feedback controller guaranteeing dichotomy of closed loop systems with norm-bounded uncertainty is proposed. The given results are applied to Chua’s circuit. A numerical algorithm of designing a controller guaranteeing dichotomy of the closed-loop system is presented which enlarges the range of some parameters.

关键词： Uncertain nonlinear systems Robust dichotomy H∞ norm linear matrix inequality.

Special Decentralized Control Problems in Discrete-time Interconnected systems Composed of Two Subsystems

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Special Decentralized Control Problems in Discrete-time Inte...

第25届中国控制会议

作者： duan zhisheng, Wang Jinzhi, huang lin state key laboratory for turbulence and complex systems and department of mechanics and engineering Science peking university, beijing 100871

＜正＞In this paper, some special decentralized control problems are addressed for discrete-time interconnected systems. First it is pointed out that some subsystems must be unstable to ensure stability of the overall system in some special cases. Then a special kind of decentralized control problem is studied. This kind of problem can be viewed as harmonic control among independent subsystems. Research results show that two unstable systems can generate a stable system through some effective cooperations. In addition, linear matrix inequality based based decentralized controller design method is also given by using parameter-dependent Lyapunov function method developed for the study of robust stability. Two examples are given to illustrate the results.

关键词： Interconnected systems Decentralized control Parameter-dependent Lyapunov function (PDLF) linear matrix inequality (LMI)

H_∞ CONTROL OF NETWORKED MULTI-AGENT systems

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Journal of systems Science & complexity 2009年第1期22卷 35-48页

作者： Zhongkui LI zhisheng duan lin huang state key lab for turbulence and complex systems and department of mechanics and aerospace engineering College of Engineering Peking University Beijing 100871 China.

This paper concerns the disturbance rejection problem arising in the coordination control of a group of autonomous agents subject to external disturbances. The agent network is said to possess a desired level of disturbance rejection, if the H∞ norm of its transfer function matrix from the disturbance to the controlled output is satisfactorily small. Undirected graph is used to represent the information flow topology among agents. It is shown that the disturbance rejection problem of an agent network can be solved by analyzing the H∞ control problem of a set of independent systems whose dimensions are equal to that of a single node. An interesting result is that the disturbance rejection ability of the whole agent network coupled via feedback of merely relative measurements between agents will never be better than that of an isolated agent. To improve this, local feedback injections are applied to a small fraction of tile agents in the network. Some criteria for possible performance improvement are derived in terms of linear matrix inequalities. Finally, extensions to the case when communication time delays exist are also discussed.

关键词： Coordination control graph theory H∞ control linear matrix inequality (LMI) pinning control.

维普期刊数据库

On decoupled or coupled control of bank-to-turn missiles

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Science china.Information Sciences) 2015年第5期58卷 195-207页

作者： duan zhisheng huang lin YANG JianYing QIN GuoZheng state key lab for turbulence and complex systems and department of mechanics and engineering Science College of Engineering Peking University

In this paper, the differences between decoupled and coupled control of bank-to-turn(BTT) missiles have been studied in detail from three aspects: stabilizability, linear quadratic regulator(LQR) control and tracking control. It is found that for some parameters the BTT missile can be controlled by a decoupled way,especially for stabilizability and LQR control. However, for some others, the BTT missile cannot be decoupled and a coupled control method is needed. Therefore, for a practical flight control system, the decouplability should be studied before giving a decoupled control method. In addition, in order to avoid the disadvantages of LQR control method, an improved H∞controller design method is given. Combined with tracking control problem, a new H∞control method is established for trajectory tracking.

关键词： BTT missile decoupled control coupled control tracking control

The effects of redundant control inputs in optimal control

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Science in china.Series F) 2009年第11期52卷 1973-1981页

作者： duan zhisheng huang lin YANG Ying state key lab for turbulence and complex systems and department of mechanics and aerospace engineering College of Engineering Peking University Beijing 100871 China

For a stabilizable system, the extension of the control inputs has no use for stabilizability, but it is important for optimal control. In this paper, a necessary and sufficient condition is presented to strictly decrease the quadratic optimal performance index after control input extensions. A similar result is also provided for H2 optimal control problem. These results show an essential difference between single-input and multi-input control systems. Several examples are taken to illustrate related problems.

关键词： redundant control optimal control Riccati equation Hamilton matrix

维普期刊数据库

A Bumpless Transfer Control Design for Air-Breathing Hypersonic Flight Vehicles

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A Bumpless Transfer Control Design for Air-Breathing Hyperso...

第九届全国动力学与控制学术会议

作者： Guozheng Qin Di huang zhisheng duan state key lab for turbulence and complex systems Department of Mechanics and Aerospace EngineeringCollege of EngineeringPeking University

In this paper,the problems of bumpless transfer and command tracking are addressed for the longitudinal dynamics of an air-breathing hypersonic flight vehicle (AHFV).In recent years,the design of guidance and control systems for AHFV has become a critical problem and attracted extensive attention,since the AHFV expands the boundaries of aeronautics and develops new technologies for space access,high speed civilian transportation,and defense *** to the high Mach number

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A BUMPLESS TRANSFER CONTROL DESIGN FOR AIRBREATHING HYPERSONIC VEHICLES

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A BUMPLESS TRANSFER CONTROL DESIGN FOR AIRBREATHING HYPERSON...

第九届全国动力学与控制学术会议

作者： Qin Guozheng huang Di duan zhisheng state key lab for turbulence and complex systems Department of Mechanics and Aerospace EngineeringCollege of EngineeringPeking University

In this paper,the problems of bumpless transfer and command tracking are addressed for the longitudinal dynamics of an air-breathing hypersonic flight vehicle. A new bumpless transfer scheme is proposed based on Youla *** the proposed scheme,the bumpless transfer structure can be designed independently of the *** different controllers,such as state feedback controllers, observer-based controllers,output feedback controllers,can be switched smoothly in a

关键词： Airbreathing hypersonic vehicle bumpless transfer tracking control Youla parameterization gain scheduling