输入受限不确定线性时滞系统的混合镇定  

Mixed Stabilization of Linear Uncertain Systems with Input Constrains and Time Delay

作　　者：方国鹏 孙洪飞[1] 

机构地区：[1]厦门大学航空航天学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2017年第3期403-409,共7页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(61273153;61374037)

摘　　要：针对一类不确定线性时滞系统,同时考虑其暂态性能和稳态性能,提出了混合稳定的概念和控制策略,使得闭环系统在满足输入约束条件下,在给定的时间区间内有限时间稳定,在无穷时间区间上渐近稳定.将混合稳定控制问题转化为线性矩阵不等式(LMI)约束非凸优化具有可行解问题.通过锥补线性化算法求解状态反馈控制器使得闭环系统混合稳定.最后,通过一个无人机仿真来验证控制器设计方法的有效性.For the purpose of aiming at a class of linear uncertain time-delay systems, the concept of mixed stabilization and controlstrategy are given under the consideration of the transient and steady performance.The closed-loop system obtained yields the finite-time stability within a given time interval,meanwhile it also yields an asymptotic stability in the sense of Lyapunov.Then the controlproblem can be transformed into a feasible problem of non-convex optimization with linear matrix inequality constraints.Moreover,the cone complementarity linearization algorithm is used to obtain a state feedback controller. Finally, simulation results of an un-manned aerial vehicle demonstrate the effectiveness of the method.

关 键 词：时滞 输入受限 不确定性系统 混合稳定 有限时间稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]