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Study for Networked Control Systems with Time Delays and Packet Dropets

Author: LiLi
Tutor: ChouJiQing
School: Hebei University of Science and Technology
Course: Applied Mathematics
Keywords: Networked Control Systems Time lag Robust Stability T - S fuzzy systems Lyapunov-Krasovskii functionals Norm bounded uncertainty Hopping systems State feedback controller Linear fractional uncertain Packet loss Linear matrix inequalities
CLC: O231
Type: Master's thesis
Year: 2009
Downloads: 106
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Abstract


Network control system analysis and synthesis of recent years, the international control topics at the forefront of research in the field, unlike traditional computer control, the impact of the network environment makes the network control system has many new features directly with traditional control theory effective control strategy can not design a new research ideas and research tools, and therefore need to be designed according to its characteristics. Sensor information and control the volume through the network transmission network control system, due to the information using time division multiplexing transmission network delays inevitably exist, the delay is usually time-varying and uncertain. Meanwhile, the unreliability of the network transmission, resulting in possible loss of data packets during transmission, so that the controller input and the control volume can not be timely updated, to affect the system's performance, will cause severe system instability. Therefore, packet loss and variable time delay must solve the problem of network control system, robust control research network control system has important theoretical and practical value. Mainly from the point of view of time-domain research the several uncertain delay network control robust stability of the system and its controller and filter design methods. Studied the the quantization control of a class of of discrete fuzzy networked systems with linear fractional uncertainties and packet loss. Suitable Lyapunov-Krasovskii fuzzy functional, considering the data packet loss and delay in the network environment, H_ ∞ performance that meets the stability criterion and robust fuzzy state feedback controller, with tapered complement method to solve the nonlinear problems, the results obtained are less conservative. Finally, a numerical example illustrates the effectiveness and practicality of the conclusions. Quantify the state and the output signal of the discrete network control system stability problems in the the Delta domain structure suitable Lyapunov functional, a new stability criterion and a meet H_ ∞ performance state feedback control devices. The results are given in linear matrix inequalities, easy toolbox for system simulation using Matlab linear matrix inequalities. Finally, a numerical example illustrates the feasibility of the method. H_ ∞ filtering problem for uncertain networked control system with Markovian jumping parameters, network transmission, the signal between the sensor and the filter there is a time lag, the introduction of the meet random hopping systems operator and consider and application of the Lyapunov functional method, the transition filtering error system robust stability conditions of a linear matrix inequalities, further filtering parameters are given specific solution. A numerical example illustrates the effectiveness and feasibility of the conclusion.

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