Finite-time L1-gain output tracking control for positive linear systems

Baozhu Du and Jiahao Chen

International Journal of Systems Science, 2024, vol. 55, issue 2, 253-260

Abstract: The problem of $ L_1 $ L1 output tracking control of positive linear systems in finite time is addressed in this paper. By constructing a linear copositive Lyapunov–Krasovskii functional, some sufficient conditions are achieved to ensure that the states are finite-time bounded and the measurement outputs have $ L_1- $ L1−gain performance for given systems, respectively. Next, a state feedback controller is designed to ensure that the output signals of the tracking system can effectively trace the specified signals of reference model with finite-time boundedness and $ L_1 $ L1-gain performance. Finally, an example is given to illustrate the efficiency of the proposed method.

Date: 2024
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DOI: 10.1080/00207721.2023.2269480

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