Impact of Complex Eigenvalues on Their Robust H∞ Control Performance in Second-Order Systems
WANG Zhan-shan1, WANG Ji-dong1,2, LIU Xiu-chong1, SUN Jian1
1. School of Information Science & Engineering, Northeastern University, Shenyang 110819, China; 2. School of Electrical Engineering, North China University of Water Resources and Electric Power, Zhengzhou 450045, China.
WANG Zhan-shan, WANG Ji-dong, LIU Xiu-chong, SUN Jian. Impact of Complex Eigenvalues on Their Robust H∞ Control Performance in Second-Order Systems[J]. Journal of Northeastern University Natural Science, 2019, 40(9): 1217-1222.
[1]Zames G.Feedback and optimal sensitivity:model reference transformations,multiplicative seminorms,and approximate inverses[J].IEEE Transactions on Automatic Control,1981,26(2):301-320. [2]Francis B,Zames G.On H∞-optimal sensitivity theory for SISO feedback systems[J].IEEE Transactions on Automatic Control,1984,29(1):9-16. [3]Doyle J C,Glover K.State-space solutions to standard H○2 and H○∞ control problems[J].IEEE Transactions on Automatic Control,1989,34(8):831-847. [4]Gahinet P.Explicit controller formulas for LMI-based H∞ synthesis [J].Automatica,1996,32(7):1007-1014. [5]解学书,钟宜生.H○∞控制理论[M].北京:清华大学出版社,1994.(Xie Xue-shu,Zhong Yi-sheng.H○∞ control theory [M].Beijing:Tsinghua University Press,1994.) [6]黄琳.稳定性与鲁棒性理论基础[M].北京:科学出版社,2003.(Huang Lin.Fundamentals of stability and robustness theory[M].Beijing:Science Press,2003.) [7]Yang R N,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. [8]Ma Y C,Lim C C,Li S N,et al.H-infinity control in coherent wind measurement lidar signal processing[J].Circuits Systems and Signal Processing,2018,37(7):2824-2836. [9]邢双云,张庆灵,朱宝彦.随机奇异T-S模糊系统的限时间鲁棒H○∞控制[J].东北大学学报(自然科学版),2014,35(11):1521-1524.(Xing Shuang-yun,Zhang Qing-ling,Zhu Bao-yan.Robust finite-time H○∞ control for stochastic singular T-S fuzzy systems [J]. Journal of Northeastern University(Natural Science),2014,35(11):1521-1524.) [10]Chilali M,Gahinet P.H-infinity with pole placement constraints:an LMI approach[J].IEEE Transactions on Automatic Control,1996,41(3):358-367. [11]Sarjas A,Svecko R,Chowdhury A.An H○∞ modified robust disturbance observer design for mechanical positioning systems[J].International Journal of Control,Automation and Systems,2015,13(3):575-586. [12]Iwasaki T,Skelton R E.All controllers for the general H○∞ control problem:LMI existence conditions and state space formulas[J].Automatica,1994,30(8):1307-1317.