The performance of discrete linear time-varying control for l2 disturbance rejection |
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Authors: | Jingxin Zhang Cishen Zhang |
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Affiliation: | 1. Department of Electrical and Computer System Engineering , Monash University , Wellington Road, Clayton 3168, Australia;2. School of Electrical and Electronic Engineering , Nanyang Technological University , Singapore 639798 |
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Abstract: | This paper extends the results of Zhang et.al. (1997 Zhang, C., Zhang, J. and Furuta, K. 1997. Performance analysis of discrete periodically time varying controllers. Automatica, 33: 619–634. Crossref] , Google Scholar]) for linear periodically time-varying control to general linear time-varying (LTV) control. It is shown that linear time-invariant (LTI) control provides strictly better control performance than linear strictly time-varying control if l2 disturbance rejection of LTI plants is considered. The analysis is carried out in the frequency domain. This approach provides not only new results on disturbance rejection of LTV control but also some new insight into the properties of general LTV systems. |
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