scholarly journals Fuzzy-Model-Based Sliding Mode Control of Nonlinear Descriptor Systems

2019 ◽  
Vol 49 (9) ◽  
pp. 3409-3419 ◽  
Author(s):  
Yueying Wang ◽  
Hamid Reza Karimi ◽  
Hao Shen ◽  
Zhijun Fang ◽  
Mingxin Liu
2003 ◽  
Vol 7 (4) ◽  
pp. 244-251 ◽  
Author(s):  
M. J. Knight ◽  
R. Sutton ◽  
R. S. Burns

2002 ◽  
Vol 125 (1) ◽  
pp. 1-22 ◽  
Author(s):  
Wook Chang ◽  
Jin Bae Park ◽  
Young Hoon Joo ◽  
Guanrong Chen

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1409
Author(s):  
Jiawen Li ◽  
Yi Zhang ◽  
Zhenghong Jin

In this paper, the Singular-Polynomial-Fuzzy-Model (SPFM) approach problem and impulse elimination are investigated based on sliding mode control for a class of nonlinear singular system (NSS) with impulses. Considering two numerical examples, the SPFM of the nonlinear singular system is calculated based on the compound function type and simple function type. According to the solvability and the steps of two numerical examples, the method of solving the SPFM form of the nonlinear singular system with (and without) impulse are extended to the more general case. By using the Heine–Borel finite covering theorem, it is proven that a class of nonlinear singular systems with bounded impulse-free item (BIFI) properties and separable impulse item (SII) properties can be approximated by SPFM with arbitrary accuracy. The linear switching function and sliding mode control law are designed to be applied to the impulse elimination of SPFM. Compared with some published works, a human posture inverted pendulum model example and Example 3.2 demonstrate that the approximation error is small enough and that both algorithms are effective. Example 3.3 is to illustrate that sliding mode control can effectively eliminate impulses of SPFM.


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