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Partial Stability, Input-to-State Stability and Their Two Applications

Author: HuWuHua
Tutor: Jiang Wang
School: Tianjin University
Course: Detecting Technique amp; Automation Device
Keywords: Partially stabilized Partial control Input - state stability White Noise Synchronous Chaotic system Disturbance
CLC: TP13
Type: Master's thesis
Year: 2007
Downloads: 19
Quote: 0
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Abstract


This paper introduces a part of the stability and control , as well as input - state stability , and then did two studies based on these theories . The first one is to propose a general method for a part of the control design . The method by reducing the number of control variables , the control problem can be simplified. This is achieved by the dynamic state of relations between the use of variables , and these relationships impact matrix as described by the matrix and dependence of the dynamic state relations - The part of the control theory, given here part of the control design approach provides a simple and general route for system stabilization to its partial or global equilibrium point . Further, based on this approach , the controller can also be simplified . To illustrate the effectiveness of the method gives two examples of chaotic synchronization control . The second is to study the auxiliary control of white noise , and theoretically prove its feasibility . Meanwhile, given a noise auxiliary control will calm the disturbance input - a stable state of the perturbed system . To illustrate its effectiveness , gives the example of a parameter chaotic Chen system noise disturbed assist control . And numerical results show that , compared with the noise-free auxiliary control noise auxiliary control not only can reduce the transient process control , but it will save control consumption . These are for the case of the various auxiliary noise confirmed match a (symmetrical), noise and non same ( independent or antisymmetric ) noise . Moreover, it was found that the same noise auxiliary control best .

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CLC: > Industrial Technology > Automation technology,computer technology > Automated basic theory > Automatic control theory
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