<p>This paper proposes a novel prescribed-time fault-tolerant control method for switched nonlinear system with full-state interval constraints. Different from the traditional method of global constraints, a new interval constraint function is introduced to the barrier Lyapunov function in this paper, which can realize the state interval constraints in the optional time range, so as to effectively overcome the rigidity of the fixed constraints and relieve the assumption of the initial value. Additionally, the proposed control strategy integrates fault-tolerant and prescribed-time control theory with fuzzy logic systems to learn the dynamics of the unknown plant. This enables the system to maintain desired tracking despite actuator faults, ensuring that the tracking error converges to the desired performance range within a prescribed time, while also proving the boundedness of signals in the closed-loop system. Finally, a series of simulation experiments demonstrates the feasibility of the proposed algorithm, extending its application to scenarios with constant and symmetric constraints. The practical relevance of the algorithm is confirmed through its application to an inverted pendulum system.</p>

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Prescribed-time fault-tolerant control for the switched system: a novel full-state interval constraint control algorithm

  • Junhao Yuan,
  • Wei Sun,
  • Yuqiang Wu

摘要

This paper proposes a novel prescribed-time fault-tolerant control method for switched nonlinear system with full-state interval constraints. Different from the traditional method of global constraints, a new interval constraint function is introduced to the barrier Lyapunov function in this paper, which can realize the state interval constraints in the optional time range, so as to effectively overcome the rigidity of the fixed constraints and relieve the assumption of the initial value. Additionally, the proposed control strategy integrates fault-tolerant and prescribed-time control theory with fuzzy logic systems to learn the dynamics of the unknown plant. This enables the system to maintain desired tracking despite actuator faults, ensuring that the tracking error converges to the desired performance range within a prescribed time, while also proving the boundedness of signals in the closed-loop system. Finally, a series of simulation experiments demonstrates the feasibility of the proposed algorithm, extending its application to scenarios with constant and symmetric constraints. The practical relevance of the algorithm is confirmed through its application to an inverted pendulum system.