Design of controls for ISS and Integral ISS Stabilization of Multistable State Periodic Systems

Mendoza-Avila, Jesus; Mercado-Uribe, Angel; Efimov, Denis; Schiffer, Johannes

doi:10.1016/j.ifacol.2023.10.936

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“…An extension of the Leonov function framework for ISS and iISS stabilization of multistable state-periodic systems has been presented in [29] through the concepts of ISSand iISS-control Leonov functions. Unfortunately, the latter do not imply also boundedness of periodic variables by its definition [8], [9].…”

Section: Introductionmentioning

confidence: 99%

“…Unfortunately, the latter do not imply also boundedness of periodic variables by its definition [8], [9]. Therefore, in this paper we further develop the results of [29] in order to design continuous and periodic feedback laws providing the boundedness of all states for multistable state-periodic systems. To this end, we introduce the concept of control Leonov function (CLeF).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of Controls for Boundedness of Trajectories of Multistable State Periodic Systems

Mendoza-Avila,

Efimov,

Mercado-Uribe

et al. 2023

2023 62nd IEEE Conference on Decision and Control (CDC)

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In this paper, the concept of control Leonov functions is introduced, and it is shown that their information is enough to design continuous and periodic controllers that provide boundedness of the state for a class of multistable stateperiodic systems. These feedback control laws are based on a mild adaptation of Sontag's universal formula, and a kind of small control property. The proposed method is illustrated via application in a microgrid.

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Section: Introductionmentioning

confidence: 99%