具有暂态性能约束的平面系统的切换跟踪控制

本文研究了一类具有由超调量及调整时间构成的指定暂态性能的平面系统的输出跟踪问题。首次提出并解决了带有输出约束的切换静态输出反跟踪制问题。通过设计静态输出反馈控制器和所谓的锥形切换规则使得闭环切换系统的输出能够在渐近跟踪阶跃信号的同时不破坏指定的暂态性能约束。此外,本文通过求解非线性规划问题获得了一个最优加权暂态性能指标。最后,通过一个数值例子以及一个应用在航空涡扇发动机上的实际例子,说明本文所提方法的有效性及应用性。

Switching Tracking Control for Planar Systems with Transient Performance Constraints

This paper studies the output tracking problem for a class of planar systems with some given transient performance constraints which are determined by the overshoot and the settling time. The problem of switched static output feedback tracking with output constraints (SSOFTOC) is proposed and solved for the first time. The static output feedback controllers and a so-called conic switching law are designed under which the output of the closed-loop switched system can track the step signal asymptotically without violating the transient performance constraints. Furthermore, an optimal weighted transient performance is obtained by solving a nonlinear programming problem. Finally, a numerical example and an application to aircraft turbofan engine are given to illustrate the effectiveness and the applicability of the proposed method.