In this paper, the prescribed-time stabilizationPrescribed-time stabilization and inverse optimalityInverse optimality problem is studied for strict-feedback nonlinear systemsStrict-feedback nonlinear systems. Different from the existing dynamic high-gain scaling designs, we propose simpler designs with new scaled quadratic Lyapunov functionsScaled quadratic Lyapunov functions. The design can ensure that the equilibrium of the plant is prescribed-time stable. After that, we redesign a prescribed-time inverse optimal controller, which not only stabilizes the plant in the prescribed time, but also minimizes a meaningful cost functionalCost functional. Finally, a simulation example is proposed to demonstrate the designs.


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    Title :

    Prescribed-Time Stabilization and Inverse Optimality for Nonlinear Systems


    Additional title:

    Studies in Systems, Decision and Control


    Contributors:


    Publication date :

    2023-11-01


    Size :

    16 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English