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- 2017
不确定奇异随机分布系统的故障诊断和容错控制
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Abstract:
摘要： 针对带有概率密度函数逼近误差的非高斯不确定奇异随机分布控制系统提出鲁棒故障诊断算法,在有模型不确定性和概率密度函数逼近误差的情况下设计故障诊断观测器估计故障信息。故障发生后,利用故障信息重构跟踪控制器使得输出概率密度函数仍能够跟踪期望概率密度函数。利用李雅普诺夫稳定性理论分析观测误差动态系统、闭环控制系统和跟踪误差动态系统的稳定性,相应的增益矩阵由线性矩阵不等式求解。仿真实例验证了算法对时变故障的有效性。
Abstract: A tracking controller was constructed to make the output PDF track the desired one before fault occurring. A robust fault diagnosis and fault tolerant tracking control algorithm of non-Gaussian uncertain singular stochastic distribution control systems with probability density function approximation error was proposed. A fault diagnosis observer was designed to estimate the fault information with the disturbance of uncertainty and probability density function approximation error. When the fault occurred, the tracking controller was reconfigured to ensure that the post-fault output probability density function still tracked the desired distribution. The Lyapunov stability theory was used to analyze the stability of the observation error dynamic system, the closed-loop system and the tracking error dynamic system, the gain matrices were obtained by solving the corresponding linear matrix inequalities. An illustrated example was given to demonstrate the effectiveness of the proposed algorithm for time-varying fault
| [1] | GUO L, WANG H. Stochastic distribution control systems design: a convex optimization approach[M]. London: Springer-Verlag, 2010. |
| [2] | YAO L N, WANG H. Robust fault diagnosis for non-Gaussian stochastic systems based on the rational square-root approximation model[J]. Science in China, 2008, 51(9):1281-1290. |
| [3] | SUN Y C, YAO L N. Robust fault diagnosis and fault-tolerant control for non-Gaussian uncertain stochastic distribution control systems[J]. International Journal of Robust and Nonlinear Control, 2017, 27(10):1709-1725. |
| [4] | HAO L Y, YANG G H. Robust adaptive fault-tolerant control of uncertain linear systems via sliding-mode output feedback[J]. International Journal of Robust and Nonlinear Control, 2015, 25(14):2461-2480. |
| [5] | GUO L, WANG H. Fault detection and diagnosis for general stochastic systems using B-spline expansions and nonlinear filters[J].IEEE Trans Circuits Syst, 2005, 152(8):1644-1652. |
| [6] | JIANG B, STAROSWIECKI V, COCQUEMPOT V. Fault accommodation for nonlinear dynamic systems[J]. IEEE Transactions on Automatic Control, 2006, 51(9):1578-1583. |
| [7] | WANG H. Bounded dynamic stochastic systems: modeling and control[M]. London: Springer-Velar, 2000. |
| [8] | WANG H. Minimum entropy control of non-Gaussian dynamic stochastic systems[J]. IEEE Transactions on Automatic Control, 2002,47(2):398-403. |
| [9] | 陈海永,王宏.基于LMI的参数随机变化系统的概率密度函数控制[J]. 自动化学报,2007, 33(11):1216-1220. CHEN Haiyong, WANG Hong. PDF control of stochastic parameter system using linear matrix inequalities[J]. Acta Automatica Sinica, 2007, 33(11):1216-1220. |
| [10] | ZHOU J L, LI G T, WANG H. Robust tracking controller design for non-Gaussian singular uncertainty stochastic distribution systems[J]. Automatica, 2014, 50(4):1296-1303. |
| [11] | CHARALAMBOUS C D, LOGOTHETIS A. Maximum likelihood parameter estimation from incomplete data via the sensitivity equations: the continuous-time case[J]. IEEE Transactions on Automatic Control, 2000, 45:928-934. |
| [12] | RICCARDO M, PAOLO F. A PLS-Based statistical approach for fault detection and isolation of robotic manipulators[J]. IEEE Transactions on Industrial Electronics, 2012, 59(8):3167-3175. |
| [13] | CHEN R H, MINGORI D L, SPEYER J L. Optimal stochastic fault detection filter[J]. Automatica, 2003, 39:337-390. |
| [14] | YAO L N, QIN J F, WANG H, et al. Design of new fault diagnosis and fault tolerant control scheme for non-Gaussian singular stochastic distribution systems[J]. Automatica, 2012, 48(9): 2305-2313. |
| [15] | YAO L N, QIN J F, WANG A P, et al. Fault diagnosis and fault-tolerant control for non-Gaussian non-linear stochastic systems using a rational square-root approximation model[J]. IET Control Theory and Applications, 2013, 7(1):116-124. |
| [16] | SAOUDI D, CHADLI M BRAIEK N B. Fault tolerant control for uncertain fuzzy bilinear models[J]. IFAC-Papers On Line, 2015, 48(21):1256-1261. |
| [17] | WANG, H. Minimum entropy control of non-Gaussian dynamic stochastic systems[J]. IEEE Transactions on Automatic Control, 2002, 47(2):398-403. |
| [18] | WU L B, YANG G H. Robust adaptive fault-tolerant tracking control of multiple time-delays systems with mismatched parameter uncertainties and actuator failures[J]. International Journal of Robust and Nonlinear Control, 2015, 25(16):2922-2938. |
| [19] | 陈莉,钟麦英.不确定奇异时滞系统的鲁棒<i>H</i><sub>∞</sub>故障诊断滤波器设计[J].自动化学报,2008, 34(8):943-949. CHEN Li, ZHONG Maiying. Designing robust <i>H</i><sub>∞</sub> fault detection filter for singular time-delay systems with uncertainty[J]. Acta Automatica Sinica, 2008, 34(8):943-949. |
| [20] | 高志峰,姜斌.一类参数不确定的线性时变系统的故障调节[J].系统工程与电子技术,2009, 31(12):2924-2928. GAO Zhifeng, JIANG Bin. Fault accommodation for a class of linear time varying systems with parametric uncertainties[J]. Journal of Systems Engineering and Electronics, 2009, 31(12):2924-2928. |
