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Approximate Feedback Linearization of a Class of Nonlinear Systems with Time-Varying Delays in States via Matrix Inequality

Min-Sung Koo, Ho-Lim Choi*, and Jong-Tae Lim
International Journal of Control, Automation, and Systems, vol. 12, no. 4, pp.742-748, 2014

Abstract : In this paper, feedback linearization method is proposed for nonlinear systems with a time varying delay in states. The diffeomorphism is presented to linearize the state-delayed nonlinear system if time-varying delay is known. Furthermore, we propose a control scheme to stabilize the approximate feedback linearizable system under the proposed conditions if the first order derivative of time-varying delay and the parametric uncertainties are finite and measurable.

Keyword : Feedback linearization, time varying delay, uncertainty.

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