Prescribed-Time Control for Linear Systems in Canonical Form via Nonlinear Feedback
针对带有非消失不确定性和扰动的规范型系统，提出一种非线性时变状态反馈控制方案，实现与初始条件无关的预定时间全状态调节，并扩展至基于观测器的输出反馈控制。
For systems in canonical form with nonvanishing uncertainties/disturbances, this work presents an approach to full-state regulation within prescribed time irrespective of initial conditions. By introducing the smooth hyperbolic-tangent-like function, a nonlinear and time-varying state-feedback control scheme is constructed, which is further extended to address output-feedback-based prescribed-time regulation by invoking the prescribed-time observer, all are applicable over the entire operational time zone. As an alternative to full-state regulation within the user-assignable time interval, the proposed method analytically bridges the divide between linear and nonlinear feedback-based prescribed-time control and is able to achieve asymptotic stability, exponential stability, and prescribed-time stability with a unified control structure.