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带有摄动的随机非线性系统的自适应神经网络控制

ADAPTIVE NEURAL NETWORK CONTROL OF STOCHASTIC NONLINEAR SYSTEMS WITH PERTURBATIONS
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摘要 针对一类带有摄动的随机严格反馈非线性系统,引入积分型Lyapunov函数,利用神经网络的逼近能力,后推设计方法以及Young's不等式,构造出一类简单有效的自适应神经网络状态反馈控制器,在一定条件下,通过Lyapunov方法,证明了闭环系统的所有信号在二阶或四阶矩意义下半全局一致终结有界.仿真结果验证了所提控制方案的有效性. The Lyapunov function of integral type is introduced into a class of stochastic strict-feedback nonlinear systems with perturbations. By utilizing the approximation capabil- ity of neural networks, backstepping technique and Young's inequality, a simple and effective adaptive neural network state feedback controller is constructed. Under some conditions, by the Lyapunov method, it is shown that all signals in the closed-loop system are semi-globally uniformly ultimately bounded in mean square or the sense of four-moment. Simulation results are given to illustrate the effectiveness of the proposed control scheme.
出处 《系统科学与数学》 CSCD 北大核心 2011年第6期686-696,共11页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金资助(项目批准号:60874045 60904030) 江苏省自然科学基金项目资助(项目批准号:BK2009184) 江苏省高校自然科学基础研究项目资助(项目批准号:09KJB510019 10KJB510027).
关键词 随机非线性系统 自适应控制 神经网络 后推 Stochastic nonlinear systems, adaptive control, neural networks, backstepping.
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  • 1WANG Ying-Chun ZHANG Hua-Guang WANG Yi-Zhong.Fuzzy Adaptive Control of Stochastic Nonlinear Systems with Unknown Virtual Control Gain Function[J].自动化学报,2006,32(2):170-178. 被引量:11
  • 2Kanellakopoulos I, Kokotovic P V. Nonlinear and AdaptiveKrstic M, Control Design. New York: Wiley, 1995.
  • 3Liu S J, Jiang Z P, Zhang J F. Globally output-feedback stabilization for a class of stochastic non-minmum-phase nonlinear systems. Automatica, 2008, 44(2): 1944-1957.
  • 4Liu S J, Zhang J F. Output-feedback control of a class of stochastic nonlinear systems with linearly bounded unmeasurable states. International Journal of Robust and Nonlinear Control, 2008, 18(6): 665--687.
  • 5Pan Z G, Basar T. Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion. SIAM Journal on Control and Optimization, 1999, 37(3): 957-995.
  • 6Liu Y G, Pan Z G, Shi S J. Output feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost. IEEE Transactions on Automatic Control, 2003, 48(3): 509-513.
  • 7Xie X J, Tian J. Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization. Automatica, 2009, 45(1): 126-133.
  • 8Krstic M, Deng H. Stabilitization of Nonlinear Uncertain Systems. London: Springer-Verlag, 1998.
  • 9Potycarpou M M, Mears M J. Stable adaptive tracking of uncertain systems using nonlinearly parametrized on-line approximators. International Journal of Control, 1998, 70(3): 363--384.
  • 10Chen W. Adaptive NN control for discrete-time purefeedback systems with unknown control direction under amplitude and rate actuator constraints. ISA Transactions, 2009, 48(3): 304-311.

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