The study is concerned with a method of observer-basedcontrol for fractional-order uncertain linear systems with the fractional commensurate order a (1 <= a < 2) based on linear matrix inequality (LMI) approach...
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The study is concerned with a method of observer-basedcontrol for fractional-order uncertain linear systems with the fractional commensurate order a (1 <= a < 2) based on linear matrix inequality (LMI) approach. First, a sufficient condition for robust asymptotic stability of the observer-based fractional-order control systems is presented. Next, by using matrix's singular value decomposition and LMI techniques, the existence condition and method of designing a robustobserver-basedcontroller for such fractional-order control systems are derived. Unlike previous methods, the results are obtained in terms of LMIs, which can be easily obtained by Matlab's LMI toolbox. Finally, a numerical example demonstrates the validity of this approach.
based on our recent work [1], this paper focuses on the potential relationship between two ways to design observerbasedcontrol, namely based on either three exosystem observers or two exosystem observers. Both can i...
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