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仿射非线性奇异系统的反馈控制与稳定化

Feedback Control and Stabilization of Affine Nonlinear Singular Systems
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摘要 研究非线性奇异系统的反馈稳定化问题.首先给出仿射非线性奇异系统反馈稳定化的概念;然后利用零动态算法构造的局部坐标变换给出仿射非线性奇异系统的一种标准型,并将其用于研究仿射非线性奇异系统的反馈控制和系统稳定化问题;最后证明了对于正则仿射非线性奇异系统,当其零动态渐近稳定时,该系统可通过反馈控制实现系统的稳定化. The feedback stabilization problem of affine nonlinear singular systems is studied. The concept of asymptotic stabilization via state feedback is proposed for affine nonlinear singular systems. Using zero dynamics algorithm, a coordinate transform is introduced to establish a canonical form of affine nonlinear singular systems, by which the problem of asymptotic stabilization via state feedback is discussed. Regular affine nonlinear singular systems are shown to be asymptotically stabilizable if the zero dynamics are stable.
作者 王文涛 刘晓平 赵军
机构地区 沈阳工业大学理学院 东北大学信息科学与工程学院
出处 《控制与决策》 EI CSCD 北大核心 2005年第8期892-896,共5页 Control and Decision
基金 国家自然科学基金项目(60274009) 辽宁省教育厅基金项目(202062039)
关键词 非线性奇异系统 反馈控制 零动态 稳定性 Nonlinear singular systems Feedback control Zero dynamics Stability
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
  • 相关文献

参考文献11

  • 1Luenberger D G. Singular Dynamic Leontief Systems[J]. Enconometrica,1977,45(5):991-995.
  • 2You L S, Chen B S. Tracking Control Designs for Both Holonomic and Non-holonomic Contrained Mechanical Systems[J]. Int J of Control,1993,58(4):587-612.
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  • 5Campbell S L, Nichols N, Terrell W J. Duality, Observability and Controllability for Linear Time-varying Descriptor Systems[J]. Circuits, Systems and Signal Process,1991,10(3):455-470.
  • 6Liu X P, Celikovsky S. Feedback Control of Affine Nonlinear Singular Control Systems[J]. Int J of Control,1997,68(4):753-774.
  • 7Liu X P. Local Disturbance Decoupling of Nonlinear Singular Systems[J]. Int J of Control,1998,70(5):685-702.
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  • 9Wang W T, Liu X P, Zhao J. The Zero Dynamics of Nonlinear Singular Control Systems[A]. Proc of the American Control Conf[C]. Anchorage,2002:3564-3569.
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二级参考文献12

  • 1[8]Liu X P, Celikovsky S. Feedback control of affine nonlinear singular control systems[J]. Int J Control, 1997, 68(4):753-774.
  • 2[9]Liu X P. Local disturbance decoupling of nonlinear singular systems[J]. Int J Control, 1998, 70(5): 685-702.
  • 3[10]Liu X P. Asymptotic output tracking of nonlinear differential-algebraic control systems[J]. Automatica, 1998, 34(3): 393-397.
  • 4[11]Isidori A. Nonlinear Control Systems[M]. Berlin: Springer-Verlag, 1995.
  • 5[12]Wang W T. The zero dynamics of nonlinear singular control systems[A]. Proc of the 2002 American Control Conf[C]. Anchorage, 2002. 3564-3569.
  • 6[1]Luenberger D G. Singular dynamic Leontief systems[J]. Enconometrica, 1977,45(5):991-995.
  • 7[2]You L S, Chen B S.Tracking control designs for both holonomic and non-holonomic contrained mechanical systems[J]. Int J Control, 1993, 58(4): 587-612.
  • 8[3]Gani R, Cameron I T. Modelling for dynamic simulation of chemical process: The index problem[J]. Chemistry Engineering Society, 1992, 47(7): 1311-1313.
  • 9[4]Krishnan H, McClamroch N H. Tracking in nonlinear differential-algebraic control systems with applications to constrained robot systems[J]. Automatica, 1994,30(10):1885-1897.
  • 10[5]Dai L Y. Strong decoupling in singular systems[J]. Mathematics Systems Theory, 1989, 22(2): 275-289.

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控制与决策
2005年 第8期

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