<p>The problem of stable control for uncertain switched fuzzy time-varying delay systems, subject to disturbances and actuator saturation, is investigated in this study. The system is modeled using the Takagi–Sugeno (T–S) fuzzy model, with the saturation function represented through a convex combination approach. To ensure the stability of the closed-loop system, we designed a switching law along with a memory state feedback saturation robust (MSFSR) controller. Notably, this controller incorporates a time-varying delay function that facilitates the inclusion of past state information while reducing system conservatism. Based on multiple Lyapunov functions, sufficient conditions for the asymptotic stability of the system are established. Furthermore, the estimation of the region of attraction under saturation constraints is reformulated as a convex optimization problem, represented by a set of linear matrix inequalities aimed at maximizing this estimation. Finally, numerical examples and real-world cases from chemical processes in continuously stirred tank reactors (CSTR) are presented to validate the proposed approach’s feasibility.</p>

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Switched Control for Uncertain Switched Fuzzy Time-Varying Delay Systems with Actuator Saturation

  • Yu Zhang,
  • Hong Yang,
  • Hongyuan Ma

摘要

The problem of stable control for uncertain switched fuzzy time-varying delay systems, subject to disturbances and actuator saturation, is investigated in this study. The system is modeled using the Takagi–Sugeno (T–S) fuzzy model, with the saturation function represented through a convex combination approach. To ensure the stability of the closed-loop system, we designed a switching law along with a memory state feedback saturation robust (MSFSR) controller. Notably, this controller incorporates a time-varying delay function that facilitates the inclusion of past state information while reducing system conservatism. Based on multiple Lyapunov functions, sufficient conditions for the asymptotic stability of the system are established. Furthermore, the estimation of the region of attraction under saturation constraints is reformulated as a convex optimization problem, represented by a set of linear matrix inequalities aimed at maximizing this estimation. Finally, numerical examples and real-world cases from chemical processes in continuously stirred tank reactors (CSTR) are presented to validate the proposed approach’s feasibility.