Static output feedback stabilization for systems with time-varying delay based on a matrix transformation method
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- 作者：ZhenWei Liu (1) (2)
HuaGuang Zhang (1) (2)
QiuYe Sun (1) (2)
1. College of Information Science and Engineering ; Northeastern University ; Shenyang ; 110819 ; China
2. State Key Laboratory of Synthetical Automation for Process Industries ; Northeastern University ; Shenyang ; 110004 ; China - 关键词：static output feedback ; matrix transformation method ; time ; varying delay ; non ; uniformly dividing delay interval ; equation condition ; 闈欐€佽緭鍑哄弽棣?/li> 鐭╅樀鍙樻崲鏂规硶 ; 鏃跺彉鏃舵粸 ; 闈炰竴鑷村垝鍒嗘椂婊炲尯闂?/li> 绛夊紡鏉′欢 ; 012201
- 刊名：SCIENCE CHINA Information Sciences
- 出版年：2015
- 出版时间：January 2015
- 年：2015
- 卷：58
- 期：1
- 页码：1-13
- 全文大小：271 KB
- 参考文献：1. Niculescu S I, Abdallah C T. Delay effects on static output feedback stabilization. In: Proceedings of the 39th IEEE Conference on Decision and Control (CDC 2000), Sydney, 2000. 2811鈥?816
2. Marquez-Martinez L A, Moog C H. Input-output feedback linearization of time-delay systems. IEEE Trans Autom Control, 2004, 49: 781鈥?85 CrossRef
3. Kharitonov V L, Niculescu S I, Moreno J, et al. Static output feedback stabilization: necessary conditions for multiple delay controllers. IEEE Trans Autom Control, 2005, 50: 82鈥?6 CrossRef
4. Li X D, Xian B, Diao C, et al. Output feedback control of hypersonic vehicles based on neural network and high gain observer. Sci China Inf Sci, 2011, 54: 429鈥?47 CrossRef
5. Chen P N, Qin H S, Wang Y, et al. Bifurcation stabilization of nonlinear systems by dynamic output feedback with application to rotating stall control. Sci China Inf Sci, 2012, 55: 200鈥?13 CrossRef
6. Yan X G, Spurgeon S K, Edwards C. Decentralised stabilisation for nonlinear time delay interconnected systems using static output feedback. Automatica, 2013, 49: 633鈥?41 CrossRef
7. Deshpande P, Menon P P, Edwards C. Delayed static output feedback control of a network of double integrator agents. Automatica, 2013, 49: 3498鈥?501 CrossRef
8. Zhu S Q, Meng M, Zhang C H. Exponential stability for positive systems with bounded time-varying delays and static output feedback stabilization. J Franklin Inst, 2013, 350: 617鈥?36 CrossRef
9. Tong S C, Li Y M. Observer-based adaptive fuzzy backstepping control of uncertain nonlinear pure-feedback systems. Sci China Inf Sci, 2014, 57: 012204 CrossRef
10. Gao Y, Wu H N, Wang J W, et al. Feedback control design with vibration suppression for flexible air-breathing hypersonic vehicles. Sci China Inf Sci, 2014, 57: 032204
11. Li G C, Song S J, Wu C. Subgradient-based feedback neural networks for non-differentiable convex optimization problems. Sci China Ser-F: Inf Sci, 2006, 49: 421鈥?35 CrossRef
12. Matiakis T, Hirche S, Buss M. Control of networked systems using the scattering transformation matiakis. IEEE Trans Control Syst Technol, 2009, 17: 60鈥?7 CrossRef
13. Zou Y Y, Li S Y. Receding horizon estimation to networked control systems with multirate scheme. Sci China Inf Sci, 2009, 52: 1103鈥?112 CrossRef
14. Hao F, Zhao X. Linear matrix inequality approach to static output-feedback stabilisation of discrete-time networked control systems. IET Proc Control Theory Appl, 2010, 4: 1211鈥?221 CrossRef
15. Wang N, Zhang T W, Xu J Q. Formation control for networked spacecraft in deep space: with or without communication delays and with switching topology. Sci China Inf Sci, 2011, 54: 469鈥?81 CrossRef
16. Liu K, Fridman E. Networked-based stabilization via discontinuous Lyapunov functionals. Int J Robust Nonlinear Contr, 2012, 22: 420鈥?36 CrossRef
17. Crusius C A R, Trofino A. Sufficient LMI conditions for output feedback control problems. IEEE Trans Autom Control, 1999, 44: 1053鈥?057 CrossRef
18. Apkarian P, Tuan H D, Bernussou J. Continuous-time analysis, eigenstructure assignment, and / H 2 synthesis with enhanced linear matrix inequalities (LMI) characterizations. IEEE Trans Autom Control, 2001, 46: 1941鈥?946 CrossRef
19. Dong J X, Yang G H. Static output feedback control synthesis for linear systems with time-invariant parametric uncertainties. IEEE Trans Autom Control, 2007, 52: 1930鈥?936 CrossRef
20. Chen K F, Feng I K. Stability analysis and output-feedback stabilisation of discrete-time systems with an interval time-varying state delay. IET Proc Control Theory Appl, 2010, 4: 563鈥?72 CrossRef
21. Zhang B, Wang X, Cai K Y. Approximate trajectory tracking of input-disturbed PVTOL aircraft with delayed attitude measurements. Int J Robust Nonlinear Contr, 2010, 20: 1610鈥?621 CrossRef
22. Gao H J, Lam J, Wang C H, et al. Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay. IEE Proc Control Theory Appl, 2004, 151: 691鈥?98 CrossRef
23. Liu X G, Martin R R, Wu M, et al. Delay-dependent robust stabilisation of discrete-time systems with time-varying delay. IEE Proc Control Theory Appl, 2006, 153: 689鈥?02 CrossRef
24. He Y, Wu M, Liu G P, et al. Output feedback stabilization for a discrete-time system with a time-varying delay. IEEE Trans Autom Control, 2008, 53: 2372鈥?377 CrossRef
25. Shu Z, Lam J, Xiong J. Static output-feedback stabilization of discrete-time Markovian jump linear systems: a system augmentation approach. Automatica, 2010, 46: 687鈥?94 CrossRef
26. Du B Z, Lam J, Shu Z. Improved delay-range-dependent stability criteria for linear systems with time-varying delays. Automatica, 2010, 46: 2000鈥?007 CrossRef
27. Zhang H G, Liu Z W, Huang G B, et al. Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay. IEEE Trans Neural Netw, 2010, 21: 91鈥?06 CrossRef
28. Zhang H G, Liu Z W. Stability analysis for linear delayed systems via an optimally dividing delay interval approach. Automatica, 2011, 47: 2126鈥?129 CrossRef
29. Gu K Q, Kharitonov V, Chen J. Stability of Time-Delay Systems. Cambridge: Birkhauser, 2003
30. Liu Z W, Zhang H G. Delay-dependent stability for systems with fast-varying neutral-type delay via a PTVD compensation. Acta Automat Sinica, 2010, 36: 147鈥?52
31. Shao H Y. New delay-dependent stability criteria for systems with interval delay. Automatica, 2009, 45: 744鈥?49 CrossRef
32. Zhang H G, Liu Z W, Huang G B. Novel delay-dependent robust stability analysis for switched neutral-type neural networks with time-varying delays via SC technique. IEEE Trans Syst Man Cybern Part B-Cybern, 2010, 40: 1480鈥?491 CrossRef
33. Liu Z W, Zhang H G, Zhang Q L. Novel compensation-based non-fragile / H 鈭?/sub> control for uncertain neutral systems with time-varying delays. Int J Syst Sci, 2012, 43: 961鈥?71 CrossRef
34. Nelder J A, Mead R. A simplex method for function minimization. Comput J, 1965, 7: 308鈥?13 CrossRef - 刊物类别：Computer Science
- 刊物主题：Chinese Library of Science
Information Systems and Communication Service - 出版者：Science China Press, co-published with Springer
- ISSN：1869-1919
文摘
This paper is concerned with the problem of static output feedback stabilization for linear systems with time-varying delay. A novel controller design is proposed based on a matrix transformation method with a new equation condition, which can solve the controller gain more easily and avoid complicated calculations of the non-linear matrix inequality. Then, the corresponding criteria can be obtained by combining the matrix transformation method and the ideas of non-uniformly dividing delay interval, which can guarantee the asymptotic stability of the closed-loop systems and calculate the satisfactory controller gain. Finally, two numerical examples are provided to verify the effectiveness of the proposed design scheme.