Discontinuous Homogeneous Control

作者: Arie Levant , Lela Alelishvili

DOI: 10.1007/978-3-540-79016-7_4

关键词:

摘要: Control under heavy uncertainty conditions remains among the main topics of control theory. The sliding-mode [50, 53, 10] is one tools in field. This approach based on exactly keeping a properly chosen constraint by means switching high (theoretically infinite) frequency. Although very robust and accurate, has two basic restrictions. direct implementation standard sliding modes requires relative degree to be 1, i.e. appear explicitly already first total time derivative function. Also, high-frequency may cause so-called chattering effect [14, 15, 16, 33].

参考文章(52)
Alan S. I. Zinober, Variable Structure and Lyapunov Control ,(1994)
G. Bartolini, A. Ferrara, E. Punta, Multi-input second-order sliding-mode hybrid control of constrained manipulators Dynamics and Control. ,vol. 10, pp. 277- 296 ,(2000) , 10.1023/A:1008318928840
Elio Usai, Giorgio Bartolini, Alessandro Pisano, First and second derivative estimation by sliding mode technique 信号処理. ,vol. 4, pp. 167- 176 ,(2000)
Jean-Jacques E. Slotine, Weiping Li, Applied Nonlinear Control ,(1991)
C Edwards, S Spurgeon, Sliding Mode Control CRC Press. ,(1998) , 10.1201/9781498701822
Andrea Bacciotti, Lionel Rosier, Liapunov functions and stability in control theory ,(2001)
S. Laghrouche, F. Plestan, A. Glumineau, Higher order sliding mode control based on optimal linear quadratic control european control conference. pp. 910- 915 ,(2003) , 10.23919/ECC.2003.7085074
Mohamed Djemai, Jean-Pierre Barbot, None, Smooth manifolds and high order sliding mode control conference on decision and control. ,vol. 1, pp. 335- 339 ,(2002) , 10.1109/CDC.2002.1184514
E. D. Sontag, Alberto Isidori, B. W. Dickinson, M. Thoma, A. Fettweis, J. W. Modestino, J. L. Massey, Nonlinear Control Systems ,(1985)