<p>This article addresses the adaptive flexible fixed-time prescribed performance (FFPP) bipartite tracking control problem for uncertain nonlinear multiagent systems with intermittent actuator faults. First, based on the designed modification signal, an FFPP function is proposed to quantify the flexible performance constraints and eliminate the initial error limitations. Notably, the performance constraint boundary can adaptively increase with the error between the faulty input and the desired input, allowing a temporary sacrifice of the user-specified performance during actuator fault periods to avoid singularity; conversely, it can adaptively revert to the original performance boundary during fault-free periods. Second, to avoid the “explosion of complexity” issue and improve the robust control performance, a boundary nonlinear filter is designed together with designing an adaptive law to reduce the impact of boundary layer errors. Subsequently, an adaptive FFPP bipartite consensus control scheme is developed based on the dynamic surface technique, where the echo state networks (ESNs) are employed to approximate uncertain dynamics and the boundary estimation method is utilized to handle actuator faults that may occur infinitely. It ensures that 1) all closed-loop signals are semiglobally uniformly ultimately bounded; and 2) for any bounded initial values, all followers’ outputs can track the leader’s output or its opposite within a prescribed fixed-time, while satisfying the prescribed flexible transient and steady-state tracking performances. Finally, simulation studies validate the effectiveness of the proposed control scheme.</p>

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Flexible-fixed-time-prescribed-performance-based adaptive bipartite tracking control for nonlinear multiagent systems with intermittent actuator faults

  • Guofa Sun,
  • Fengyang Pan,
  • Jiaxin Zheng,
  • Qingxi Liu

摘要

This article addresses the adaptive flexible fixed-time prescribed performance (FFPP) bipartite tracking control problem for uncertain nonlinear multiagent systems with intermittent actuator faults. First, based on the designed modification signal, an FFPP function is proposed to quantify the flexible performance constraints and eliminate the initial error limitations. Notably, the performance constraint boundary can adaptively increase with the error between the faulty input and the desired input, allowing a temporary sacrifice of the user-specified performance during actuator fault periods to avoid singularity; conversely, it can adaptively revert to the original performance boundary during fault-free periods. Second, to avoid the “explosion of complexity” issue and improve the robust control performance, a boundary nonlinear filter is designed together with designing an adaptive law to reduce the impact of boundary layer errors. Subsequently, an adaptive FFPP bipartite consensus control scheme is developed based on the dynamic surface technique, where the echo state networks (ESNs) are employed to approximate uncertain dynamics and the boundary estimation method is utilized to handle actuator faults that may occur infinitely. It ensures that 1) all closed-loop signals are semiglobally uniformly ultimately bounded; and 2) for any bounded initial values, all followers’ outputs can track the leader’s output or its opposite within a prescribed fixed-time, while satisfying the prescribed flexible transient and steady-state tracking performances. Finally, simulation studies validate the effectiveness of the proposed control scheme.