Dissertation > Mathematical sciences and chemical > Mathematics > Control theory, information theory ( mathematical theory ) > Cybernetics ( control theory, mathematical theory )

Analysis and Control of Several Classes of Singular Networked Systems

Author ZhanFaYan
Tutor XingWei
School Northeastern University
Course Operational Research and Cybernetics
Keywords singular networked systems data packet dropout networked-induced delay guaranteed cost control robust H_∞control linear matrix inequality system simulation
CLC O231
Type Master's thesis
Year 2010
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In this thesis what is to be controlled is the NCS (networked control system) of a singular control system. With the rapid development of computer technology, electronics and communication technologies, network applications become increasingly popular worldwide. In the control area, the network has led tremendous changes in the structure of control system. At the same time, singular networked systems are more match realistic problems model. There is no denying that it embraces enormously applied value. This thesis focuses on the problems of guaranteed cost control and robust H∞control of singular networked systems.Firstly, we introduce the study purposes and significations of singular networked systems. Then some basic issues and recent progress of networked control systems and singular networked systems are given respectively. Besides, the fundamental knowledge cited in this paper is also concisely offered.Secondly, the problem of guaranteed cost controller synthesis for singular networked systems is investigated primarily. To solve the problem of uncertain time delay in singular networked systems, the uncertain of time delay is converted to the uncertainty of parameter matrixes, and the model of singular networked systems is simplified as an uncertain discrete model. Lyapunov theory and linear matrix inequality (LMI) are applied to prove the sufficient condition of the existence of guaranteed cost controller for singular networked systems. It is shown that a group of linear matrix inequalities provide a parameterized representation of the guaranteed cost controller.Thirdly, The robust H∞control of a class of singular networked system with uncertain delay is studied. Supposed that the controller and actuator of the singular networked system are event driven, the sensor node is time driven, the network induced delay is time-varying, uncertain and less than the sampling period, the generalized plant is modeled as an uncertain linear discrete system. Based on Lyapunov function and linear matrix inequality (LMI), a sufficient condition for singular networked systems which is subject to the asymptotic stability and H∞performance is derived, and the design approach of the controller is also given.Lastly, a summary of the main research methods used in this paper is presented, coupled with some prospection to singular networked systems. The drawbacks exist in this article and the possible improvement directions are pointed out simultaneously.

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