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Communication Dans Un Congrès Année : 2019

Universal formula for robust stabilization of affine nonlinear multistable systems

Résumé

In this paper, the problem of robust stabilization of affine nonlinear multistable systems with respect to disturbance inputs is studied. The results are obtained using the framework of input-to-state stability (ISS) and integral input-to-state stability (iISS) for systems with multiple invariant sets. The notions of ISS and iISS control Lyapunov functions as well as the small control property are extended within the multistability framework. It is verified that the universal control formula can be applied to yield the ISS (iISS) property to the closed-loop system. The efficiency of the proposed control Lyapunov function in the multistable sense is illustrated in two academic examples.
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Dates et versions

hal-02340333 , version 1 (30-10-2019)

Identifiants

  • HAL Id : hal-02340333 , version 1

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Nelson F Barroso, Rosane Ushirobira, Denis Efimov. Universal formula for robust stabilization of affine nonlinear multistable systems. Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02340333⟩
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