变体飞行器连续平滑切换LPV控制

针对一类翼展可变飞行器的控制问题,提出了一种连续平滑切换线性变参数(linear parameter varying, LPV)控制器的设计方法。将变体飞行器建模成以翼展变形率为时变参数的LPV系统,通过对时变参数进行具有重叠特性的区间划分,设计平滑切换控制器。结合参数依赖的多李雅普诺夫函数和平均驻留时间方法,给出了保证切换LPV系统指数稳定的充分条件。由于考虑了时变参数的渐变特性,使得系统的切换律没有平均驻留时间的限制,降低了结论的保守性。仿真结果表明,运用所设计的控制器,当翼展连续变化时,变体飞行器状态稳定且切换过程平滑,控制性能良好。

Continuous smooth switching LPV control for morphing aircraft

To cope with the control problem of a class of variable-span morphing aircraft, a continuous smooth switching linear parameter varying (LPV) controller is proposed. Choosing the rate of span variation as the time-varying parameter, the morphing aircraft is modeled as a LPV system. The smooth switching controller is designed in the way that the time-varying parameter is partitioned into several subregions with overlaps. Then, a sufficient condition to ensure the switched LPV system’s exponential stability is presented by employing the methods of multiple parameter-dependent Lyapunov functions and average dwell time. Because the character that the time-varying parameter changes gradually is considered, the switching law without constraint on average dwell time is obtained which makes the conclusion less conservative. The simulation result shows that using the proposed controller, the states of morphing aircraft are stable and switch smoothly when the span changes continuously.