<p>This article addresses the mitigation of the adverse effect of input saturation in a continuous time-delayed positive linear system (PLS) with interval uncertainties. Considering that an observer-based static feedback controller has already been developed to stabilize the time-delayed interval PLS (without saturation), a novel method is proposed to determine an anti-windup (AW) gain to mitigate the adverse effects of input saturation. The proposed method illustrates how the entire closed-loop (CL) system (controller incorporated with AW gain) can be represented through a PLS framework that integrates a dead-zone nonlinearity. The stability analysis is done using the Lyapunov function, ensuring that within the domain <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(B(\delta )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>B</mi> <mo stretchy="false">(</mo> <mi>δ</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, the CL system is both positive and exhibits asymptotic stability (AS) for any given initial condition. For ease of synthesis, the proposed methodology is modeled through conditions incorporated in linear matrix inequality (LMI), and the efficacy of the proposed approach is established through simulation studies.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Anti-windup Design for Mitigation of Input Saturation in a Time-Delayed Interval Positive System

  • Bhargavi Chaudhary

摘要

This article addresses the mitigation of the adverse effect of input saturation in a continuous time-delayed positive linear system (PLS) with interval uncertainties. Considering that an observer-based static feedback controller has already been developed to stabilize the time-delayed interval PLS (without saturation), a novel method is proposed to determine an anti-windup (AW) gain to mitigate the adverse effects of input saturation. The proposed method illustrates how the entire closed-loop (CL) system (controller incorporated with AW gain) can be represented through a PLS framework that integrates a dead-zone nonlinearity. The stability analysis is done using the Lyapunov function, ensuring that within the domain \(B(\delta )\) B ( δ ) , the CL system is both positive and exhibits asymptotic stability (AS) for any given initial condition. For ease of synthesis, the proposed methodology is modeled through conditions incorporated in linear matrix inequality (LMI), and the efficacy of the proposed approach is established through simulation studies.