【作者】 申忠宇； 赵瑾；

【Author】 SHEN Zhong-yu,ZHAO Jin (School of Electrical & Automation Engineering,Nanjing Normal University,Nanjing 210042,China)

【机构】 南京师范大学 电气与自动化工程学院；

【摘要】 研究不匹配不确定性动态系统的鲁棒滑模观测器设计问题。首先利用不匹配不确定性的滑模控制线性矩阵不等式(LMI)方法,提出不匹配不确定性的滑模观测器设计新方法以及非线性介入策略,通过Lyapunov函数证明观测器的稳定性和鲁棒性,使观测器的状态估计达到预期的指标;然后,给出滑模运动的稳定充分必要条件以及观测器的LMI存在定理,无须对动态系统进行规范化处理,将滑模观测器的综合设计归纳求解LMI问题,简化了设计过程。最后,通过数值仿真验证所提出方法的有效性。更多还原

【Abstract】 The robust sliding mode observer design is investigated for a class of uncertain dynamic system with mismatched uncertainties.First,a novel robust sliding mode observer design method and the nonlinear injection are proposed by using the sliding mode control approach for mismatched uncertainties based on linear matrix inequality (LMI).The Lyapunov function is used as the judgment condition for stabilizing observers so as to attain the desired performances of state estimation.Then,some sufficient and necessary conditions of stabilizing the sliding mode motion and the LMI existence theorem for observers are presented.Without the canonical transformation of the dynamic systems, a directly solvable LMI is obtained to release the constrained matrix equation causing the difficulty on synthesizing sliding mode observer,and the designing processes are simplified.Finally,the effectiveness of the proposed robust sliding mode observer design methodology is demonstrated through the numerical simulations.更多还原