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严格反馈随机非线性系统的自适应逆最优控制 被引量：3

Adaptive inverse optimal control for strict-feedback stochastic nonlinear systems
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摘要 讨论了自适应逆最优控制问题可解定理,基于Ito微分规则和Backstepping方法,给出了具有标准Wiener噪声扰动和未知定常参数的严格反馈随机非线性系统的全局依概率渐近稳定和自适应逆最优控制策略的设计方法,该方法可同时获得控制律和自适应律。仿真结果表明了控制算法的有效性。 The solvable theorem of adaptive inverse optimal control problems is dealt with based on Ito's differentiation rule and adaptive backstepping algorithms. Control strategies of global asymptotic stability and adaptive inverse optimal stabilization in probability are presented for strict-feedback stochastic nonlinear continuous systems with additive standard Wiener noises and constant unknown parameters. Control schemes and adaptive laws can be obtained at the same time by this design scheme. Simulation results show the effectiveness of the control algorithms.
作者 王俊 奚宏生 季海波 陈志福
机构地区 中国科学技术大学自动化系
出处 《控制与决策》 EI CSCD 北大核心 2003年第6期681-685,689,共6页 Control and Decision
基金 安徽省自然科学基金项目(03042302)。
关键词 Wiener噪声 Ito微分规则 Backstepping算法 逆最优 依概率渐近稳定 Adaptive control systems Computer simulation Decision making Optimization System stability
分类号 TP202 [自动化与计算机技术—检测技术与自动化装置]
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参考文献11

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  • 2季海波 陈志福 奚宏生 等.具有不确定Wiener噪声的随机非线性系统的自适应控制[A]..第21届中国控制会议论文集[C].杭州:浙江大学出版社,2002.69-73.
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同被引文献21

  • 1闫根峰,王俊,奚宏生,陈欢.严格反馈非线性系统的鲁棒自适应逆最优跟踪[J].中国科学技术大学学报,2006,36(5):502-506. 被引量：4
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  • 4[3]Florchinger P.A universal formula for the stabilization of control stochastic differential equation.Stochastic Analysis and Appl,1993,11(1):155～162
  • 5[4]Pan 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
  • 6[5]Deng H,Krstic M.Stochastic nonlinear stabilization-I:A backstepping design &Control Letters,1997,32(1):143～151
  • 7[6]Deng H,Krstic M.Stochastic nonlinear stabilization-II:Inverse optimality&Control Letters,1997,32(1):151～159
  • 8[7]Krstic M,Deng H.Stabilization of Nonlinear Uncertain Systems.NewYork:Springer,1998:95～120
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  • 10Krstic M, Deng H. Stabilization of Nonlinear Uncertain Systems [M ]. London: Springer-Verlag,1998.

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控制与决策
2003年 第6期

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