<p>This article concentrates on the design of event-triggered (ET) adaptive fuzzy echo-state-network (ESN) control for switched nonlinear systems with asymmetric state constraints. A modified estimation model that integrates a fuzzy ESN with a serial-parallel algorithm is constructed to approximate function uncertainties, where both prediction and tracking errors are organized in a parameter updating rule. To reduce the computational complexity, a finite-time command filter with error compensation signals is formulated. Meanwhile, a mode-dependent ET policy is constructed to mitigate the communication burden and lessen the impact of asynchronous switching between switched subsystems and controllers. By resorting to asymmetric barrier Lyapunov functions, an adaptive output feedback ET controller is put forward, under which the closed-loop system is stable, state variables remain within constrained intervals, and system outputs can track the anticipated paths with a small error. In addition, the existence of the lower bound of execution interval is verified, which is far away from the Zeno behavior. Eventually, simulation examples are provided to illustrate the practicability of the proposed approach.</p>

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Event-triggered adaptive fuzzy echo-state-network control of state constrained nonlinear switched systems with asynchronous switching

  • Zhiye Bai,
  • Baowei Wu,
  • Yue-E. Wang,
  • Heng Liu

摘要

This article concentrates on the design of event-triggered (ET) adaptive fuzzy echo-state-network (ESN) control for switched nonlinear systems with asymmetric state constraints. A modified estimation model that integrates a fuzzy ESN with a serial-parallel algorithm is constructed to approximate function uncertainties, where both prediction and tracking errors are organized in a parameter updating rule. To reduce the computational complexity, a finite-time command filter with error compensation signals is formulated. Meanwhile, a mode-dependent ET policy is constructed to mitigate the communication burden and lessen the impact of asynchronous switching between switched subsystems and controllers. By resorting to asymmetric barrier Lyapunov functions, an adaptive output feedback ET controller is put forward, under which the closed-loop system is stable, state variables remain within constrained intervals, and system outputs can track the anticipated paths with a small error. In addition, the existence of the lower bound of execution interval is verified, which is far away from the Zeno behavior. Eventually, simulation examples are provided to illustrate the practicability of the proposed approach.