Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207720500403054
Title: On nonlinear H ∞ sliding mode control for a class of nonlinear cascade systems
Authors: Xu, J.-X. 
Pan, Y.-J.
Lee, T.H. 
Fridman, L.
Keywords: H ∞ control
L 2 gain; Matched and unmatched uncertainties
Nonlinear cascade systems
Sliding mode control
Issue Date: 15-Dec-2005
Source: Xu, J.-X.,Pan, Y.-J.,Lee, T.H.,Fridman, L. (2005-12-15). On nonlinear H ∞ sliding mode control for a class of nonlinear cascade systems. International Journal of Systems Science 36 (15) : 983-992. ScholarBank@NUS Repository. https://doi.org/10.1080/00207720500403054
Abstract: In this work two main robust control strategies, the sliding mode control (SMC) and nonlinear H 8 control, are integrated to function in a complementary manner for tracking control tasks. The SMC handles matched L 8 [0,8) type system uncertainties with known bounding functions. H 8 control deals with unmatched disturbances of L 2 [0,8) type where the upper-bound knowledge is not available. The new control method is designed for a class of nonlinear uncertain systems with two cascade subsystems. Nonlinear H 8 control is applied to the first subsystem in the presence of unmatched disturbances. Through solving a Hamilton-Jacoby inequality, the nonlinear H 8 control law for the first subsystem well defines a nonlinear switching surface. By virtue of nonlinear H 8 control, the resulting sliding manifold in the sliding phase possesses the desired L 2 gain property and to a certain extend the optimality. Associated with the new switching surface, the SMC is applied to the second subsystem to accomplish the tracking task, and ensure the L 2 gain robustness in the reaching phase. Two illustrative examples are given to show the effectiveness of the proposed robust control scheme.
Source Title: International Journal of Systems Science
URI: http://scholarbank.nus.edu.sg/handle/10635/56872
ISSN: 00207721
DOI: 10.1080/00207720500403054
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