Observer-based passive control for uncertain linear systems with delay in state and control input

doi:10.1088/1009-1963/14/12/001

中国物理B ›› 2005, Vol. 14 ›› Issue (12): 2379-2386.doi: 10.1088/1009-1963/14/12/001

• GENERAL • 下一篇

Observer-based passive control for uncertain linear systems with delay in state and control input

李桂芳, 李会莹, 杨成梧

810 Division, School of Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

收稿日期:2005-05-24 修回日期:2005-08-26 出版日期:2005-12-20 发布日期:2005-12-20

Observer-based passive control for uncertain linear systems with delay in state and control input

Li Gui-Fang (李桂芳), Li Hui-Ying (李会莹), Yang Cheng-Wu (杨成梧)

810 Division, School of Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

Received:2005-05-24 Revised:2005-08-26 Online:2005-12-20 Published:2005-12-20

摘要/Abstract

摘要： This paper deals with the robust passivity synthesis problem for a class of uncertain linear systems with time-varying delay in state and control input. The parameter uncertainties are norm-bounded and allowed to appear in all matrices of the model. The problem aims at designing an observer-based dynamic output-feedback controller that robustly stabilizes the uncertain systems and achieves the strict passivity of closed-loop systems for all admissible uncertainties. By converting the problem at hand into a class of strictly passive control problem for a parameterized system, the explicit solution is established and expressed in terms of a linear matrix inequality. A numerical example is provided to demonstrate the validity of the proposed approach.

Abstract: This paper deals with the robust passivity synthesis problem for a class of uncertain linear systems with time-varying delay in state and control input. The parameter uncertainties are norm-bounded and allowed to appear in all matrices of the model. The problem aims at designing an observer-based dynamic output-feedback controller that robustly stabilizes the uncertain systems and achieves the strict passivity of closed-loop systems for all admissible uncertainties. By converting the problem at hand into a class of strictly passive control problem for a parameterized system, the explicit solution is established and expressed in terms of a linear matrix inequality. A numerical example is provided to demonstrate the validity of the proposed approach.

Key words: passive control, time-varying delay, observer, parametric uncertainties, linear matrix inequality (LMI)

中图分类号: (Electronic circuits)

84.30.-r

02.10.Yn (Matrix theory)

李桂芳, 李会莹, 杨成梧. Observer-based passive control for uncertain linear systems with delay in state and control input[J]. 中国物理B, 2005, 14(12): 2379-2386.

Li Gui-Fang (李桂芳), Li Hui-Ying (李会莹), Yang Cheng-Wu (杨成梧). Observer-based passive control for uncertain linear systems with delay in state and control input[J]. Chinese Physics, 2005, 14(12): 2379-2386.

[1]	Luhong Su(苏鹭红), Cui-Xian Guo(郭翠仙), Yongliang Wang(王永良), Li Li(李力), Xinhui Ruan(阮馨慧), Yanjing Du(杜燕京), Shu Chen(陈澍), and Dongning Zheng(郑东宁). Observation of size-dependent boundary effects in non-Hermitian electric circuits[J]. 中国物理B, 2023, 32(3): 38401-038401.
[2]	Xiao-Yuan Wang(王晓媛), Chuan-Tao Dong(董传涛), Zhi-Ru Wu(吴志茹), and Zhi-Qun Cheng(程知群). A review on the design of ternary logic circuits[J]. 中国物理B, 2021, 30(12): 128402-128402.
[3]	S Poornima. Suppression of ferroresonance using passive memristor emulator[J]. 中国物理B, 2021, 30(6): 68401-068401.
[4]	杜志凡, 张瑞浩, 陈红. Characteristic signal extracted from a continuous time signal on the aspect of frequency domain[J]. 中国物理B, 2019, 28(9): 90502-090502.
[5]	刘晓贤, 朱樟明, 杨银堂, 丁瑞雪, 李跃进. Parasitic effects of air-gap through-silicon vias in high-speed three-dimensional integrated circuits[J]. 中国物理B, 2016, 25(11): 118401-118401.
[6]	刘威, 王发强, 马西奎. Exponential flux-controlled memristor model and its floating emulator[J]. 中国物理B, 2015, 24(11): 118401-118401.
[7]	董刚, 石涛, 赵颖博, 杨银堂. An analytical model of thermal mechanical stress induced by through silicon via[J]. 中国物理B, 2015, 24(5): 56601-056601.
[8]	武花干, 包伯成, 陈墨. Threshold flux-controlled memristor model and its equivalent circuit implementation[J]. 中国物理B, 2014, 23(11): 118401-118401.
[9]	刘晓贤, 朱樟明, 杨银堂, 王凤娟, 丁瑞雪. Reduction of signal reflection along through silicon via channel in high-speed three-dimensional integration circuit[J]. 中国物理B, 2014, 23(3): 38401-038401.
[10]	钱利波, 朱樟明, 夏银水, 丁瑞雪, 杨银堂. Through-silicon-via crosstalk model and optimization design for three-dimensional integrated circuits[J]. 中国物理B, 2014, 23(3): 38402-038402.
[11]	包伯成, 冯霏, 董伟, 潘赛虎. The voltage current relationship and equivalent circuit implementation of parallel flux-controlled memristive circuits[J]. 中国物理B, 2013, 22(6): 68401-068401.
[12]	朱樟明, 刘术彬. [J]. 中国物理B, 2012, 21(2): 28401-028401.
[13]	钱利波, 朱樟明, 杨银堂. Three-dimensional global interconnect based on a design window[J]. 中国物理B, 2011, 20(10): 108401-108401.
[14]	朱樟明, 郝报田, 恩云飞, 杨银堂, 李跃进. An interconnecting bus power optimization method combining interconnect wire spacing with wire ordering[J]. 中国物理B, 2011, 20(6): 68401-068401.
[15]	朱樟明, 万达经, 杨银堂, 恩云飞. A statistical RCL interconnect delay model taking account of process variations[J]. 中国物理B, 2011, 20(1): 18401-018401.

Observer-based passive control for uncertain linear systems with delay in state and control input

Observer-based passive control for uncertain linear systems with delay in state and control input

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0