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<p>In this paper, the problem of <i>L</i><sub>2</sub>-gain analysis and anti-windup fault-tolerant control is investigated by using the multiple Lyapunov functionals method for a class of saturated switched delayed systems with actuator faults. A sufficient condition for the state to be bounded is given for the closed-loop system and under this condition the disturbance tolerance problem is transformed into a convex optimization problem with linear matrix inequality constraints. Then, the <i>L</i><sub>2</sub>-gain analysis of the closed-loop system is carried out. Next, by designing the anti-windup (AW) fault-tolerant controller, the maximum allowable disturbance capability as well as the minimum restricted <i>L</i><sub>2</sub>-gain upper bound is obtained. Finally, the numerical examples are given to verified the effectiveness of the proposed method by comparing the state response under the action of the AW fault-tolerant controllers and the standard controllers.</p>

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Anti-windup control of saturated switched delayed systems with actuator faults

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月10日

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  • Chaosheng Hao,
  • Xinquan Zhang

摘要

In this paper, the problem of L2-gain analysis and anti-windup fault-tolerant control is investigated by using the multiple Lyapunov functionals method for a class of saturated switched delayed systems with actuator faults. A sufficient condition for the state to be bounded is given for the closed-loop system and under this condition the disturbance tolerance problem is transformed into a convex optimization problem with linear matrix inequality constraints. Then, the L2-gain analysis of the closed-loop system is carried out. Next, by designing the anti-windup (AW) fault-tolerant controller, the maximum allowable disturbance capability as well as the minimum restricted L2-gain upper bound is obtained. Finally, the numerical examples are given to verified the effectiveness of the proposed method by comparing the state response under the action of the AW fault-tolerant controllers and the standard controllers.