Title
Algorithms for chattering reduction in system control
Abstract
Sliding mode control (SMC) is among the popular approaches for control of systems, especially for unknown nonlinear systems. However, the chattering in SMC is generally a problem that needs to be resolved for better control. A time-varying method is proposed for determining the sliding gain function in the SMC. Two alternative tuning algorithms are proposed for reducing the sliding gain function for systems. The first algorithm is for systems with no noise and disturbance but with or without unmodeled dynamics. The second algorithm is for systems with noise, disturbance, unmodeled dynamics, or any combination of them. Compared with the state-dependent, equivalent-control-dependent, and hysteresis loop methods, the proposed algorithms are more straightforward and easy to implement. The performance of the algorithms is evaluated for five different cases. A 90% to 95% reduction of chattering is achieved for the first algorithm used for systems with sensor dynamics only. By using the second algorithm, the chattering is reduced by 70% to 90% for systems with noise and/or disturbance, and by 25% to 50% for systems with a combination of disturbance, noise, and unmodeled dynamics.
Year
DOI
Venue
2012
10.1016/j.jfranklin.2012.06.001
Journal of the Franklin Institute
Field
DocType
Volume
Nonlinear system,Control theory,Algorithm,Hysteresis,Gain function,Control engineering,Control system,Mathematics,Sliding mode control
Journal
349
Issue
ISSN
Citations 
8
0016-0032
7
PageRank 
References 
Authors
0.54
10
2
Name
Order
Citations
PageRank
Nengmou Wang191.23
Hojjat Adeli22150148.37