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Finite-time Guaranteed Cost Control of Positive Switched Fractional-Order Systems Based on \(\Phi \)-Dependent ADT Switching

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Abstract

The guaranteed cost finite-time stability of positive switched fractional-order systems (PSFS) with D-disturbance and impulse is studied based on the \(\Phi \)-dependent average dwell time (\(\Phi \)DADT) strategy. Firstly, the finite-time stability of the studied system is proved by constructing a linear co-positive Lyapunov function. Secondly, the system’s guaranteed cost analysis is given with the estimated upper bound of the cost. In addition, the finite-time certain and robust controllers are designed to ensure the system’s stabilization. A numerical example is finally given to signify the validity of the conclusions.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Shanxi Normal University, 339-th Taiyu Road, Taiyuan, 030031, Shanxi, China

    Qiang Yu & Na Wei

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  1. Qiang Yu
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  2. Na Wei
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Yu, Q., Wei, N. Finite-time Guaranteed Cost Control of Positive Switched Fractional-Order Systems Based on \(\Phi \)-Dependent ADT Switching. Circuits Syst Signal Process 43, 1452–1472 (2024). https://doi.org/10.1007/s00034-023-02556-3

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