Citation: | WANG Yanyan, LIU Wei, WANG Zhiming. Robust H∞ Control for Uncertain Singular Perturbed Systems With Time Delay[J]. Journal of Beijing University of Technology, 2016, 42(2): 217-222. DOI: 10.11936/bjutxb2014090003 |
[1] |
KOKOTOVIC P V,KHALIL H K,O'REILLY J.Singular perturbation methods in control:analysis and design[M].London:London Academic Press,1986.
|
[2] |
NAIDU D S.Singular perturbations and time scales in control theory and applications:an overview[J].Dynamics of Continuous,Discrete and Impulsive Systems Series B:Applications&Algorithms,2002,9(6):233-278.
|
[3] |
YANG G,DONG J X.H∞ filtering for fuzzy singularly perturbed systems[J].IEEE Transactions on Systems,Man,and Cybernetics,2008,38(5):1371-1389.
|
[4] |
SHAO Z H.Robust stability of singularly perturbed systems with state delays[J].IEE Proceedings:Control Theory and Applications,2003,150(1):2-5.
|
[5] |
SHAO Z H.Stability bounds of singularly perturbed delay systems[J].IEE Proceedings:Control Theory and Applications,2004,151(5):585-588.
|
[6] |
WANG Z M,WANG G X,LIU W.Stabilization of twotime scale systems with a finite feedback data rate[J].IET Control Theory Applications,2008,4(11):535-541.
|
[7] |
SHI P,SHUE S P,AGARWAL R K.Robust disturbance attenuation with stability for a class of uncertain singularly perturbed systems[J].International Journal of Control,1998,70(6):873-891.
|
[8] |
LIU H P,SUN F C,SUN Z Q.Stability analysis and synthesis of fuzzy singularly perturbed systems[J].IEEE Trans Fuzzy Systems,2005,13(2):273-284.
|
[9] |
GAO Y B,LU G P,WANG Z M.Passivity analysis of uncertain singularly perturbed systems[J].IEEE Transactions on Circuits and Systems-Ⅱ:Express Briefs,2010,57(6):486-490.
|
[10] |
YANG C Y,CHAI T Y,ZHANG Q L.Lur'e Lyapunov function and absolute stability criterion for Lur'e singularly perturbed systems[J].IEEE Trans Automat Control,2011,56(11):2666-2671.
|
[11] |
秦滨,施颂椒.奇异摄动非线性系统的鲁棒自适应控制[J].控制理论与应用,2000,17(1):110-112.QIN B,SHI S J.Robust adaptive control for nonlinear systems with singular perturbation[J].Control Theory&Applications,2000,17(1):110-112.(in Chinese)
|
[12] |
XU S Y,LAM J,CHEN T W.Robust H∞ control for uncertain discrete stochastic time-delay systems[J].Systems&Control Letters,2004,5(3/4):203-215.
|
[13] |
吴敏,桂卫华,何勇.现代鲁棒控制[M].长沙:中南大学出版社,2006:15-30.
|
[14] |
ZHANG W A,YU L.A robust control approach to stabilization of networked control systems with short timevarying delays[J].Acta Automatica Sinica,2010,36(1):87-91.
|
[15] |
WU LG,SU X J,SHI P.Sliding mode control with bounded L2 gain performance of Markovian jump singular time-delay systems[J].Automatica,2012,48(8):1929-1933.
|
[16] |
WANG G L,ZHANG Q L,SCREERAM V.H∞ control for discrete-time singularly perturbed systems with two Markov processes[J].Journal of the Franklin Institute,2010,347(5):836-847.
|
[17] |
GLIZER V Y,FRIDMAN E.H∞ control of linear singularly perturbed systems with small state delay[J].Journal of Mathematical Analysis and Applications,2000,250(1):49-85.
|
[18] |
WANG Z M,LIU W,DAI H H,et al.Robust stabilization of model-based uncertain singularly perturbed systems with networked time-delay[C]//Proc 48th IEEE Conference on Decision and Control Conference.Shanghai:IEEE,2009:7917-7922.
|
[19] |
梅平,蔡晨晓,邹云.时滞奇异摄动的鲁棒控制[J].控制理论与应用,2008,25(5):973-975.MEI P,CAI C X,ZOU Y.Robust control of singularly perturbed systems with time-delay[J].Control Theory&Applications,2008,25(5):973-975.(in Chinese)
|
[20] |
XU S Y,LAM J,ZHANG L.Robust D-stability analysis for uncertain discrete singular systems with state delay[J].IEEE Trans Circuits Syst I,2002,49(4):551-555.
|
[21] |
LU R Q,ZOU H B,SU H Y,et al.Robust D-stability for a class of complex singularly perturbed systems[J].IEEE Transactions on Circuits and Systems-Ⅱ:Express Briefs,2008,55(12):1294-1298.
|
[22] |
俞立.鲁棒控制:线性矩阵不等式处理方法[M].北京:清华大学出版社,2002.
|
[23] |
BOYD S,GHAOUI L E L,FERON E,et al.Linear matrix inequalities in system and control theory[M].Philadelphia;Siam,1994.
|