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<p>This paper solves two essential problems in the nonlinear control field. The first is to propose an improved criterion under the requirements of asymmetric output constraint and prescribed-time convergence, and the second is to present a nonscaling adaptive control scheme for nonautonomous systems with unknown powers. By introducing two time-varying gain functions with their specific properties, a state-feedback stabilizing controller is designed to ensure that the system state enters an arbitrarily adjustable compact set within a prescribed time and achieves the ultimate convergence. The effectiveness and advantages of the proposed controller are illustrated through simulations on two practical examples including a mechanical system and a boiler-turbine unit.</p>

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Adaptive prescribed-time asymptotic stabilization of output-constrained nonautonomous systems with unknown powers and its applications

  • 期刊论文

  • 发表日期：

    2026年6月29日

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  • You Wu,
  • Kexin Xiu

摘要

This paper solves two essential problems in the nonlinear control field. The first is to propose an improved criterion under the requirements of asymmetric output constraint and prescribed-time convergence, and the second is to present a nonscaling adaptive control scheme for nonautonomous systems with unknown powers. By introducing two time-varying gain functions with their specific properties, a state-feedback stabilizing controller is designed to ensure that the system state enters an arbitrarily adjustable compact set within a prescribed time and achieves the ultimate convergence. The effectiveness and advantages of the proposed controller are illustrated through simulations on two practical examples including a mechanical system and a boiler-turbine unit.