Discrete-Time Quasi-Sliding-Mode Control With Prescribed Performance Function and its Application to Piezo-Actuated Positioning Systems

2018 ◽  
Vol 65 (1) ◽  
pp. 942-950 ◽  
Author(s):  
Manh Linh Nguyen ◽  
Xinkai Chen ◽  
Fan Yang
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Performance Function ◽  
Positioning Systems ◽  
Prescribed Performance ◽  
Mode Control

A New Discrete-time Sliding Mode Control Method Based on Restricted Variable Trending Law

2014 ◽  
Vol 39 (9) ◽  
pp. 1552-1557 ◽  
Author(s):  
Xi LIU ◽  
Xiu-Xia SUN ◽  
Wen-Han DONG ◽  
Peng-Song YANG
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Control Method ◽  
Sliding Mode ◽  
Mode Control

Design of funnel function-based discrete-time sliding mode control

2020 ◽  
Vol 14 (16) ◽  
pp. 2413-2418
Author(s):  
Haifeng Ma ◽  
Yangmin Li ◽  
Zhenhua Xiong
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Mode Control

scholarly journals Zero-Width Quasi-Sliding Mode Band in the Presence of Non-Matched Uncertainties

Energies ◽  
2021 ◽  
Vol 14 (11) ◽  
pp. 3011
Author(s):  
Paweł Latosiński ◽  
Andrzej Bartoszewicz
Keyword(s):  
Sliding Mode Control ◽  
Discrete Time ◽  
Sliding Mode ◽  
Control Strategies ◽  
Relative Degree ◽  
Band Width ◽  
Representative Point ◽  
Mode Control ◽  
Sliding Motion ◽  
Selection Of

Sliding mode control strategies are well known for ensuring robustness of the system with respect to disturbance and model uncertainties. For continuous-time plants, they achieve this property by confining the system state to a particular hyperplane in the state space. Contrary to this, discrete-time sliding mode control (DSMC) strategies only drive the system representative point to a certain vicinity of that hyperplane. In established literature on DSMC, the width of this vicinity has always been strictly greater than zero in the presence of uncertainties. Thus, ideal sliding motion was considered impossible for discrete-time systems. In this paper, a new approach to DSMC design is presented with the aim of driving the system representative point exactly onto the sliding hyperplane even in the presence of uncertainties. As a result, the quasi-sliding mode band width is effectively reduced to zero and ideal discrete-time sliding motion is ensured. This is achieved with the proper selection of the sliding hyperplane, using the unique properties of relative degree two sliding variables. It is further demonstrated that, even in cases where selection of a relative degree two sliding variable is impossible, one can use the proposed technique to significantly reduce the quasi-sliding mode band width.

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