基于观测器的一类非线性系统的抗饱和局部镇定控制  

Observer-based anti-saturation local stabilization control for a class of nonlinear systems

作　　者：周燕茹 李永福 吴运锴 ZHOU Yanru;LI Yongfu;WU Yunkai(School of Electrical Engineering and Automation,Xiamen University of Technology,Xiamen 361024,China;Xiamen Key Laboratory of Frontier Electric Power Equipment and Intelligent Control,Xiamen 361024,China)

机构地区：[1]厦门理工学院电气工程与自动化学院,福建厦门361024 [2]厦门市高端电力装备及智能控制重点实验室,福建厦门361024

出　　处：《飞行力学》2024年第4期56-63,共8页Flight Dynamics

基　　金：福建省自然科学基金资助(2020J01284);福建省中青年教师教育科研项目(JAT200495);厦门理工学院研究生科技创新项目(YKJCX2022148)。

摘　　要：针对一类部分状态不可测且存在输入饱和约束的多项式型非线性系统,设计一种基于观测器的非线性抗饱和局部镇定控制方法。采用Lyapunov稳定性理论结合多项式平方和方法,先根据该类系统结构特征给出基于降维观测器的非线性局部镇定控制条件。进一步,在不增加系统维数情况下,通过执行器的输入输出差设计出非线性抗饱和补偿器,来消除输入饱和对控制系统的影响。最后,将所得方法与经典线性抗饱和方法分别应用于挠性卫星姿态系统进行对比研究。仿真结果表明,所提方法是可行且有效的。A new observer-based nonlinear anti-saturation local stabilization control approach for a class of polynomial nonlinear systems with partially unmeasurable states and input saturation con-straints is proposed.By using the Lyapunov stability theory and polynomial sum of squares(SOS)method,the existence conditions of the observer-based nonlinear local stabilization control are first given according to the structural features of such systems.Furthermore,without the increase of sys-tem dimension,a nonlinear anti-saturation compensator is designed based on the difference between the input and output of the actuator to eliminate the influence of input saturation on the control sys-tem.Finally,the proposed approach and the classical linear anti-saturation approach are applied to a flexible satellite attitude system for comparative research.The simulation results show that the pro-posed method is feasible and effective.

关 键 词：非线性抗饱和 多项式系统 降维观测器 平方和 

分 类 号：V448.22[航空宇航科学与技术—飞行器设计]