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Volume 11 Issue 10
Oct.  2024

IEEE/CAA Journal of Automatica Sinica

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Z. Li, Y. Wang, and  Y.  Song,  “Achieving given precision within prescribed time yet with guaranteed transient behavior via output based event-triggered control,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 10, pp. 2059–2067, Oct. 2024. doi: 10.1109/JAS.2023.124134
Citation: Z. Li, Y. Wang, and  Y.  Song,  “Achieving given precision within prescribed time yet with guaranteed transient behavior via output based event-triggered control,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 10, pp. 2059–2067, Oct. 2024. doi: 10.1109/JAS.2023.124134

Achieving Given Precision Within Prescribed Time yet With Guaranteed Transient Behavior via Output Based Event-Triggered Control

doi: 10.1109/JAS.2023.124134
Funds:  This work was supported in part by the National Natural Science Foundation of China (61933012, 62273064, 61991400, 61991403, 62250710167, 61860206008, 62203078), the National Key Research and Development Program of China (2023YFA1011803), the Natural Science Foundation of Chongqing (CSTB2023NSCQ-MSX0588), the Innovation Support Program for International Students Returning to China (cx2022016), and the Central University Project (2022CDJKYJH019)
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  • It is interesting yet nontrivial to achieve given control precision within user-assignable time for uncertain nonlinear systems. The underlying problem becomes even more challenging if the transient behavior also needs to be accommodated and only system output is available for feedback. Several key design innovations are proposed to circumvent the aforementioned technical difficulties, including the employment of state estimation filters with event-triggered mechanism, the construction of a novel performance scaling function and an error transformation. In contrast to most existing performance based works where the stability is contingent on initial conditions and the maximum allowable steady-state tracking precision can only be guaranteed at some unknown (theoretically infinite) time, in this work the output of the system is ensured to synchronize with the desired trajectory with arbitrarily pre-assignable convergence rate and arbitrarily pre-specified precision within prescribed time, using output only with lower cost of sensing and communication. In addition, all the closed-loop signals are ensured to be globally uniformly bounded under the proposed control method. The merits of the designed control scheme are confirmed by numerical simulation on a ship model.

     

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    Highlights

    • For a class of uncertain nonlinear systems, the given control precision is achieved within a prescribed finite time
    • The burden of both the sensing and computation is largely reduced by designing the state filters and utilizing intermittent input signal
    • The initial condition restriction is removed by constructing a novel performance scaling function and an error transformation
    • Both the transient and steady-state performance of the output tracking error is guaranteed with some readily user-assignable parameters

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