This paper addresses the gain-scheduled output feedback control for morphing aircraft (MA) in full envelope using switching polytopic linear parameter-varying (SPLPV) theory. The SPLPV model of MA is derived by scheduled parameter interval division and convex decomposition. Considering average dwell time (ADT) and mode-dependent average dwell time (MDADT) switching logics, sufficient conditions to ensure that the SPLPV systems are exponential stable with weighted disturbance attenuation indexes are presented based on the multiple parameter-dependent Lyapunov functions (MPDLFs) technique, and the comprehensive algorithm for the controller solution is obtained. To reduce the computational burden and ease controller implementation, a finite number of linear matrix inequalities (LMIs) are developed for solving controller by proposing the intermediate controller variables are depend affinely on the scheduled parameter. In addition, the control matrix of linear parameter-varying (LPV) system is not limited to be constant, which greatly expands the application scope of the proposed method. The simulation validation is carried out on the SPLPV control for MA.

本文利用切换多主题线性参数变分（SPLPV）理论解决了全包络变体飞机（MA）的增益预定输出反馈控制问题。MA的SPLPV模型是通过调度参数间隔划分和凸分解得出的。考虑平均停留时间（ADT）和模式相关的平均停留时间（MDADT）切换逻辑，基于多个参数相关的Lyapunov函数（MPDLF），提出了确保SPLPV系统具有指数稳定且具有加权干扰衰减指数的充分条件技术，获得了控制器求解的综合算法。为了减轻计算负担并简化控制器的实现，通过提出中间控制器变量依赖于计划参数来开发有限数量的线性矩阵不等式（LMI）来求解控制器的问题。另外，线性参数变化（LPV）系统的控制矩阵不限于常数，这大大扩展了该方法的应用范围。仿真验证是在MA的SPLPV控件上进行的。