论文标题
通过非线性反馈的线性系统的规定时间控制
Prescribed-time Control for Linear Systems in Canonical Form Via Nonlinear Feedback
论文作者
论文摘要
对于具有不变的不确定性/干扰的规范形式的系统，这项工作介绍了在规定时间内进行全州调节的方法，而与初始条件无关。通过引入光滑的双曲线型函数，构建了非线性和随时间变化的状态反馈控制方案，该方案通过调用规定的时间观察者来进一步扩展，以解决基于输出反馈的规定时间调节，所有这些都适用于整个操作时区域。作为在用户分配时间间隔内进行全州调节的一种替代方案，该提出的方法分析了基于线性和非线性反馈基于规定的时间控制之间的鸿沟，并且能够实现渐近稳定性，指数稳定性和规定的时间稳定性，并具有统一的控制结构。
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 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.
