JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2014, Vol. 44 ›› Issue (5): 20-28.doi: 10.6040/j.issn.1672-3961.0.2014.035

Previous Articles     Next Articles

Stabilization analysis for dissipative hamilton control systems with actuator saturation

JIA Dandan, WEI Airong   

  1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
  • Received:2014-01-21 Revised:2014-06-30 Published:2014-01-21

PDF (PC)

359

Abstract: The finite gain stabilization of the dissipative Hamilton systems with actuator saturation was investigated. The stability and dynamic performance of the system were seriously influenced by saturation. The globally asymptotical stabilization of a closed-loop system was received with the static output feedback. Then, under the evolution of nonlinear functions of the system, the L2 gain stabilization of the closed-loop system was received, while the estimated value of gain was obtained. The results were applied to the system with excitation and steam-valving control. The example was given to illustrate the efficiency of the proposed method.

Key words: output feedback, hamilton systems, Lyapunov stability, limited gain, excitation and steam-valving control, actuator saturation

CLC Number: 

  • TP273
[1] 魏爱荣.饱和控制系统稳定性及干扰抑制研究[D].济南: 山东大学控制科学与工程学院, 2006:1-9.WEI Airong.Study of stability and disturbance for systems with actuator saturation[D].Jinan:School of Control Science and Engineering, Shandong University, 2006:1-9.
[2] WEI A R, WANG Y Z.Stabilization and H∞ control of nonlinear port-controlled Hamiltonian systems subject to actuator saturation[J].Automatica, 2010, 46(12):2008-2010.
[3] WEI A R, ZHAO K Y, YU H S.Analysis and design for linear systems subject to saturation by static feedback[J].Systems Engineering and Electronics, 2005, 27(1):87-93.
[4] 黎艳, 陈武华.具有饱和执行器的不确定脉冲系统的鲁棒镇定[J].西北师范大学学报, 2013,49(6):10-15.LI Yan, CHEN Wuhua.Robust stabilization of uncertain impulsive system with saturating actuator[J].Journal of Northwest Normal Uiversity Natural Science, 2013, 49(6):10-15.
[5] SABERI A, LIN Z L, TEEL A R.Control of linear systems with saturating actuators[J].IEEE Transactions on Automatic Control, 1996, 41(3):368-378.
[6] HU T S, LIN Z L.Control systems with actuator saturation: analysis and design[M].Boston: Birkhauser, 2001.
[7] LIU W S, YACINE C, EDUARDO S.On finite gain stabilizability of linear systems subject to input saturation[J].SIAM Journal on Control and Optimization, 1996, 34(4):1190-1219.
[8] LU Q, SUN Y.Nonlinear control systems and power system dynamics[J].Dordrecht: Kluwer Academic Publishers, 2001:121-164.
[9] 谭拂晓, 刘德荣, 关新平,等.基于微分对策理论的非线性控制回顾与展望[J].自动化学报, 2014,40(1): 1-15.TAN Fuxiao, LIU Derong, GUAN Xinping, et al.Review and perspective of nonlinear systems control based on differential games[J].Acta Automatica Sinica, 2014, 40(1):1-15.
[10] 曹慧超, 李炜.执行器饱和不确定NCS非脆弱鲁棒容错控制[J].控制与决策, 2013, 28(12):1874-1883.CAO Huichao, LI Wei.Non-fragile robust fault-tolerant control for uncertain NCS with actuator saturation[J].Control and Decision, 2013, 28(12):1874-1883.
[11] 王玉振.广义Hamilton控制系统理论: 实现、控制与应用[M].第1版.北京: 科学出版社, 2007:119-146.
[12] 陈静.基于能量的观测器设计及其在电力系统中的应用研究[D].济南: 山东大学控制科学与工程学院, 2006:17-43.CHEN Jing.Study of design of observer based on energy and appling on power system[D].Jinan: School of Control Science and Engineering, Shandong University, 2006:17-43.
[13] 史小平, 袁国平.Hamilton系统的鲁棒自适应控制及在航天器中的应用[J].四川大学学报:工程科学版, 2013, 45(5):130-137.SHI Xiaoping,YUAN Guoping.Robust adaptive control of Hamilton system and its application in spacecraft[J].Journal of Sichuan Uiversity: Engineering Science Edition, 2013, 45(5):130-137.
[14] 孙静, 张承慧, 刘旭东,等.基于Hamilton系统理论的电动汽车用永磁同步电机H∞控制[J].电工技术学报,2013,28(11):163-169.SUN Jing, ZHANG Chenghui, LIU Xudong, et al.H∞ control of permanent magnet synchronous motor fo electric vehicle based on Hamiltonian system Theory[J].Transaction of China Electrotecnical Society, 2013, 28(11):163-169.
[15] 孙丽瑛, 王玉振.一类非线性奇异Hamilton系统的H∞控制[J].中国科学: 信息科学, 2010, 40(11): 1519-1529.SUN Liying, WANG Yuzhen.H∞ control for a class of nonlinear discriptor Hamilton systems[J].Science China: Information Sciences, 2010, 40(11):1519-1529.
[16] WANG Y Z, FENG G.Finite-time stabilization of port-controlled Hamiltonian systems with applicatioin to systems[C]// Proceedings of the 2008 American Control Conference.Seattle: the ACC, 2008:1202-1207.
[17] YANG R M, WANG Y Z.Finite-time stability analysis and H∞ control for a class of nonlinear time-delay Hamiltonian systems[J].Automatica, 2013, 49(2):390-401.
[18] 洪晓芳, 王玉振, 魏爱荣.一类执行器饱和非线性Hamilton网络控制系统H∞控制器设计[J].山东大学学报:工学版, 2014,44(1): 49-56.HONG Xiaofang, WANG Yuzhen, WEI Airong.H∞ controller design for a class of nonlinear Hamilton networked contol systems with actuator saturation[J].Journal of Shandong Uiversity: Engineering Science, 2014, 44(1):49-56.
[19] SUN W W, WANG Y Z.Stabilizability analysis of Hamiltonian control systems subject to actuator saturation[J].Electric Machines and Control, 2009, 13(2):261-266.
[20] 李淑娟.电力系统基于能量的非线性鲁棒和自适应控制[D].济南: 山东大学控制科学与工程学院, 2006:23-36.LI Shujuan.Nonlinear robust and adaptive control for power system based on energy[D].Jinan: School of Control Science and Engineering, Shandong University, 2006:23-36.
[1] ZHANG Yuting, LI Wang, WANG Chenguang, LIU Youquan, SHI Hongjun. Synchronization of time-delayed complex dynamical networks with discontinuous coupling [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(4): 43-49.
[2] LI Han, WEI Airong. Stabilization and H∞ control for nonlinear switched Hamiltonian systems subject to actuator saturation [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2016, 46(3): 79-86.
[3] HONG Xiao-fang1,2, WANG Yu-zhen1*, WEI Ai-rong1. H∞-controller design for a class of nonlinear Hamilton networked contol systems with actuator saturation [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2014, 44(1): 49-56.
[4] WANG Fei-fei1, YAN Xue-hua2*, LIU Yun-gang3. Practical tracking by output feedback for a class of nonlinearly
parameterized systems with unknown control coefficients [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2013, 43(5): 55-67.
[5] LI Zhenbo1, ZHU Shuqian2. Resilient static output feedback stabilization for
controlled positive time-delay systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2011, 41(3): 46-51.
[6] SHANG Fang, LIU Yun-Gang, ZHANG Cheng-Hui. Disturbance attenuation by output feedback fora class of uncertain nonlinear systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(1): 19-27.
[7] WANG Yuzhen1, LIU Yuchang2, FENG Gang3. Simultaneous stabilization of nonlinear portcontrolled Hamiltonian systems via output feedback [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 52-63.
[8] SUN Weiwei， WANG Yuzhen. Finite gain stabilization of singlemachine infinite bus system subject to saturation [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 69-76.
[9] DENG Xiu-cheng,SHEN Yan-jun,FANG Sheng-le .

An approach to design the finite-time observer for MIMO-linear systems

[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(4): 17-21 .
[10] LIU Zhao-juan,LIU Jin-bo . A new control strategy of a tristate boost DC／DC converter based on input-output linearization [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(1): 43-47 .
[11] SUN Zong-yao,LIU Yun-gang . Adaptive output feedback stabilization for a class of second-dimensional uncertain nonlinear systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(5): 34-39 .
[12] LI Yan-fang,LIU Yun-gang . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(6): 76-81 .
[13] WEI Airong,ZHAO Keyou, . Linear matrix inequality approach to enlarging domain of attraction for [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(3): 30-33 .
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of Journal of Shandong University (Engineering Science)
Supported by Beijing Magtech Co.Ltd