LMI-Based Anti-Windup Control Design for Discrete-Time Switched Systems With Actuator Saturation

Houti, Smail; Berdjag, Denis; Defoort, Michaël; Lauber, Jimmy

doi:10.1016/j.ifacol.2022.07.612

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2024

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“…wagon where the traction effort is applied only at the locomotive and each wagon is equipped with pneumatic braking system as described in [42]. This system has three types of actuator, i.e, electric traction/braking, air brake and a combination of electric brake and air brake.…”

Section: Problem Formulationmentioning

confidence: 99%

Switching Anti-Windup Design for Discrete-Time Switched Systems Under Input Saturation

Houti

Berdjag

Defoort

et al. 2022

Preprint

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In this paper, the tracking problem for discrete-time switched systems subject to actuator saturation and exogenous input is considered. The considered class of systems encompasses discrete-time systems subject to asymmetric saturation or time-varying saturation. Using switched Lyapunov functions and L2-gain analysis, a one-step method is proposed to design the controller and the anti-windup compensator. Some sufficient conditions are derived to guarantee local asymptotic stability and L2-performance of the closed-loop system in terms of linear matrix inequalities (LMI). To illustrate the advantages of the proposed scheme, comparisons with existing schemes are provided. At last, the effectiveness of the proposed scheme is illustrated on the velocity tracking problem of a heavy train with asymmetric saturation constraints.

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Section: Problem Formulationmentioning

confidence: 99%