A novel approach for static anti-windup compensation of one-sided Lipschitz systems under input saturation

Muntazir Hussain, Muhammad Rehan, Shakeel Ahmed, Tanveer Abbas and Muhammad Tufail

Applied Mathematics and Computation, 2020, vol. 380, issue C

Abstract: This paper illustrates a new strategy for designing the local static anti-windup (AW) compensator for nonlinear systems with one-sided Lipschitz (OSL) nonlinearities under saturating actuators and exogenous disturbances. The static AW strategy is designed such that the resulting closed-loop system with OSL nonlinearity, actuator saturation, and exogenous disturbance is stable and the region of attraction can be maximized. Inequalities based conditions are formulated for the static AW gain design by using Lyapunov stability theory, sector condition, L2 gain reduction, OSL inequality, and quadratic inner-bounded (QIB) condition. The proposed AW technique is simpler to design, straightforward to implement and deals with a broader class of systems in contrast to conventional methods. An application example demonstrates that the proposed static AW can successfully mitigate the saturation consequences in OSL nonlinear systems.

Keywords: Nonlinear systems; Static anti-windup (AW) compensator; One-sided Lipschitz nonlinearity; Actuator saturation; L2 gain (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320301983

DOI: 10.1016/j.amc.2020.125229

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