Fault Estimation for Nonlinear Systems Based on Intermediate Estimators
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摘要: 针对带有时滞和多故障的非线性系统,研究了基于中间观测器的故障估计问题.设计了中间变量和中间估计器,实现了多故障的故障估计,同时避免了观测器匹配条件的限制.根据Lyapunov稳定理论和线性矩阵不等式(LMI)方法,误差系统是渐近稳定的.最后,通过MATLAB仿真,验证了所提出方法的有效性.Abstract: Based on the intermediate estimator, the fault estimation problem was studied for the nonlinear systems with time delays and multiple faults. Intermediate variables and intermediate estimators were designed to realize fault estimation and avoid the limitation of observer matching conditions. According to the Lyapunov stability theory and the linear matrix inequality method, the error systems are asymptotically stable. At last, through the MATLAB simulation, the effectiveness of the proposed method was verified.
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Key words:
- fault estimation /
- intermediate estimator /
- linear matrix inequality /
- nonlinear system
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[2]CAI J, FERDOWSI H, SARANGAPANI J. Model-based fault detection, estimation, and prediction for a class of linear distributed parameter systems[J].Automatica,2016,66: 122-131. LONG Y, PARK J H, YE D. Asynchronous fault detection and isolation for Markov jump systems with actuator failures under networked environment[J].IEEE Transactions on Systems, Man, and Cybernetics: Systems,2019,99: 1-11. [3]LONG Y, PARK J H, YE D. Transmission-dependent fault detection and isolation strategy for networked systems under finite capacity channels[J].IEEE Transactions on Cybernetics,2017,47(8):2266-2278. [4]HUANG S J, YANG G H. Fault tolerant controller design for T-S fuzzy systems with time-varying delay and actuator faults: a k-step fault-estimation approach[J].IEEE Transactions on Fuzzy Systems,2014,22(6):1526-1540. [5]LI X J, YAN J J, YANG G H. Adaptive fault estimation for T-S fuzzy interconnected systems based on persistent excitation condition via reference signals[J].IEEE Transactions on Cybernetics,2019,49(8):2822-2834. [6]LIU M, SHI P, ZHANG L, et al. Fault-tolerant control for nonlinear Markovian jump systems via proportional and derivative sliding mode observer technique[J].IEEE Transactions on Circuits and Systems Ⅰ: Regular Papers,2011,58(11):2755-2764. [7]佟英浩, 童东兵, 陈巧玉, 等. 事件触发驱动的非线性系统有限时间状态估计器设计[J]. 应用数学和力学, 2020,41(6):669-678.(TONG Yinghao, TONG Dongbing, CHEN Qiaoyu, et al. Design of a finite-time state estimator for nonlinear systems under event-triggered control[J].Applied Mathematics and Mechanics,2020,41(6): 669-678.(in Chinese)) [8]舒含奇, 宋乾坤. 带有时滞的Clifford值神经网络的全局指数稳定性[J]. 应用数学和力学, 2017,38(5):513-525.(SHU Hanqi, SONG Qiankun. Global stability of Clifford-valued recurrent neural networks with mixed time-varying delays[J].Applied Mathematics and Mechanics,2017,38(5): 513-525.(in Chinese)) [9]周军, 童东兵, 陈巧玉. 基于事件触发控制带有多时变时滞的主从系统同步[J]. 应用数学和力学, 2019,40(12):1389-1398.(ZHOU Jun, TONG Dongbing, CHEN Qiaoyu. Synchronization of master-slave systems with multiple time-varying delays based on the event-triggered mechanism[J].Applied Mathematics and Mechanics,2019,40(12):1389-1398.(in Chinese)) [10]ZHANG K, JIANG B, COCQUEMPOT V. Fast adaptive fault estimation and accommodation for nonlinear time-varying delay systems[J].Asian Journal of Control,2009,11(6): 643-652. [11]ZHU J W, YANG G H, WANG H, et al. Fault estimation for a class of nonlinear systems based on intermediate estimator[J].IEEE Transactions on Automatic Control,2016,61(9):2518-2524. [12]LIU X, GAO X, HAN J. Robust unknown input observer based fault detection for high-order multi-agent systems with disturbances[J].ISA Transactions,2016,61:15-28. [13]ZHOU L, ZHU Q, WANG Z, et al. Adaptive exponential synchronization of multislave time-delayed recurrent neural networks with Lévy noise and regime switching[J].IEEE Transactions on Neural Networks and Learning Systems,2017,28(12): 2885-2898. [14]XIONG J, LAM J. Stabilization of networked control systems with a logic ZOH[J].IEEE Transactions on Automatic Control,2009,54(2): 358-363. [15]ZHANG K, JIANG B, COCQUEMPOT V. Adaptive observer-based fast fault estimation[J].International Journal of Control, Automation, and Systems,2008,6(3): 320-326. [16]GAO Z, LIU X, CHEN M. Unknown input observer based robust fault estimation for systems corrupted by partially-decoupled disturbances[J].IEEE Transactions on Industrial Electronics,2016,63(4): 2537-2547. [17]ZHU J W, YANG G H. Robust distributed fault estimation for a network of dynamical systems[J].IEEE Transactions on Control of Network Systems,2018,5(1): 14-22.
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