Robustness analysis for a class of nonlinear descriptor systems

Min Wu , Ling-bo Zhang , Yong He

Journal of Central South University ›› 2004, Vol. 11 ›› Issue (4) : 457 -460.

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Journal of Central South University ›› 2004, Vol. 11 ›› Issue (4) : 457 -460. DOI: 10.1007/s11771-004-0094-2
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Robustness analysis for a class of nonlinear descriptor systems

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Abstract

The robustness analysis problem of a class of nonlinear descriptor systems is studied. Nonlinear matrix inequality which has the good computation property of convex feasibility is employed to derive some sufficient conditions to guarantee that the nonlinear descriptor systems have robust disturbance attenuation performance, which avoids the computational difficulties in conversing nonlinear matrix and Hamilton-Jacobi inequality. The computation property of convex feasibility of nonlinear matrix inequality makes it possible to apply the results of nonlinear robust control to practice.

Keywords

nonlinear descriptor system / robustness analysis / robust disturbance attenuation / nonlinear matrix inequality

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Min Wu, Ling-bo Zhang, Yong He. Robustness analysis for a class of nonlinear descriptor systems. Journal of Central South University, 2004, 11(4): 457-460 DOI:10.1007/s11771-004-0094-2

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References

[1]

TakabaK, MorihiraN, Katayama. A generalized Lyapunov theorem for descriptor systems [J]. System & Control Letters, 1995, 24(1): 49-51

[2]

Yasuda K, Noso F. Decentralized quadratic stabilization of interconnected descriptor systems [A]. Proceedings of the 35th IEEE Conference on Decision & Control[C]. Kobe, Japan, 1996. 4264–4269.

[3]

TangHou-jun, HanZheng-zhi, ShangYu-hui. New model control method for linear descriptor systems[J]. Acta Automatica Sinica, 2000, 26(6): 798-802(in Chinese)

[4]

TangHou-jun, HanZheng-zhi, ShangYu-hui, et al.. A design method of model following control for nonlinear descriptor systems and proof of boundedness of internal states[J]. Acta Automatica Sinica, 2001, 27(1): 1-8(in Chinese)

[5]

XuSheng-yuan, YangCheng-wu. On robust stability for discrete singular systems[J]. Acta Automatica Sinica, 2001, 27(1): 89-92(in Chinese)

[6]

TakabaK, KatayamaT. H2 output feedback control for descriptor systems[J]. Automatica, 1998, 34(7): 841-850

[7]

TakabaK. Robust H control of descriptor system time-varying uncertainty[J]. International Journal of Control, 1998, 71(5): 559-415

[8]

MA Shu-ping, CHEN Zhao-lin. Robust H control of singular systems with parameter uncertainty[A]. Proceedings of the 3rd Asian Control Conference [C]. Shanghai, 2000. 694–699.

[9]

XuSheng-yuan, YangCheng-wu. Robust stabilization for state-space systems with uncertainty[J]. International Journal of Control, 2000, 72(18): 1659-1664

[10]

LinChong, WangJian-liang, YangGuang-hong, et al.. Robust stabilization via state feedback for descriptor systems with uncertainties in the derivative[J]. International Journal of Control, 2000, 73(5): 407-415

[11]

van der SchaftA J. L2-gain analysis of nonlinear systems and nonlinear state feedback H control[J]. IEEE Transactions on Automatic Control, 1992, 37(6): 770-784

[12]

WuMin, GuiWei-huaAdvance Robust Control[M], 1998, Changsha, Central South University of Technology(in Chinese)

[13]

ZhangLing-bo, WuMin, GuiWei-huaOn robust control of nonlinear systems[A]. Automation Theory, Technology and Application[C], 1999, Beijing, Xiyuan Press: 40-45(in Chinese)

[14]

ShenT, TamuraK. Robust H control of uncertain nonlinear system via state feedback[J]. IEEE Transactions on Automatic Control, 1995, 40(4): 766-768

[15]

NguangS K. Robust nonlinear H-output feedback control [J]. IEEE Transactions on Automatic Control, 1996, 41(7): 1003-1007

[16]

LuGuo-ping, ZhengYu-fan. Robust H control of a class of nonlinear systems with parameter uncertainty[J]. Acta Automatica Sinica, 1999, 25(3): 388-392(in Chinese)

[17]

WangXiang-dong, GaoLi-qun, ZhangSi-ying. Robust H control of a class of uncertain nonlinear systems via state feedback[J]. Acta Automatica Sinica, 1999, 25(2): 221-225(in Chinese)

[18]

ZhangLing-bo, WuMin, GuiWei-hua. Robustness analysis of a class of nonlinear systems with additive uncertainty[J]. Journal of Central South University of Technology, 2000, 31(3): 272-274(in Chinese)

[19]

LuW M, DoyleJ C. H control nonlinear systems: a convex characterization[J]. IEEE Transactions on Automatic Control, 1995, 40(9): 1668-1675

[20]

LuW M, DoyleJ C. Robustness analysis and synthesis for nonlinear uncertain systems [J]. IEEE Transactions on Automatic Control, 1997, 42(12): 1654-1662

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