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2014 (Vol. 7, Issue: 9)
Article Information:

Analysis of Nonlinear Discrete Time Active Control System with Boring Chatter

Shujing Wu and Dazhong Wang
Corresponding Author:  Shujing W 

Key words:  Discrete time systems, disturbance, internal states, nonlinear control system, , ,
Vol. 7 , (9): 1715-1720
Submitted Accepted Published
August 09, 2012 September 03, 2012 March 05, 2014
Abstract:

In this work we study the design and analysis for nonlinear discrete time active control system with boring charter. It is shown that most analysis result for continuous time nonlinear system can be extended to the discrete time case. In previous studies, a method of nonlinear Model Following Control System (MFCS) was proposed by Okubo (1985). In this study, the method of nonlinear MFCS will be extended to nonlinear discrete time system with boring charter. Nonlinear systems which are dealt in this study have the property of norm constraints ║ (v (k))║&le&alpha+&betaβ║v (k)║&gamma, where &alpha&ge0, &beta&ge0, 0&le&gamma&le1. When 0&le&gamma&le1. It is easy to extend the method to discrete time systems. But in the case &gamma = 1 discrete time systems, the proof becomes difficult. In this case, a new criterion is proposed to ensure that internal states are stable. We expect that this method will provide a useful tool in areas related to stability analysis and design for nonlinear discrete time systems as well.
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  Cite this Reference:
Shujing Wu and Dazhong Wang, 2014. Analysis of Nonlinear Discrete Time Active Control System with Boring Chatter.  Research Journal of Applied Sciences, Engineering and Technology, 7(9): 1715-1720.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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