Variable structure control for affine systems based on sigmoid variable rate reaching law

Author

Liu, Yun-long ; Gao, Cun-chen ; Liang, Xiao

Author_Institution

Coll. of Inf. Sci. & Eng., Ocean Univ. of China, Qingdao, China

fYear

2010

Firstpage

4623

Lastpage

4627

Abstract

The existing design approaches of variable structure control for a class of affine systems with uncertainties are discussed and three modified sigmoid variable rate reaching laws are proposed based on sigmoid function and normal distribution function. Variable structure control system designed by applying this types of reaching laws, better than the exponential rate reaching law and the variable rate reaching law can reach the region of the switching surface in finite pace and the stability of origin can be guaranteed. The approaches decrease system chattering effectively and fast speed is kept. The simulation result illustrates the feasibility and validity of the proposed approaches.

Keywords

affine transforms; control system synthesis; functions; normal distribution; reachability analysis; variable structure systems; affine systems; normal distribution function; sigmoid function; sigmoid variable rate reaching law; variable structure control; Artificial neural networks; Gaussian distribution; Markov processes; Mobile robots; Numerical simulation; Sliding mode control; affine systems; normal distribution function; sigmoid function; variable rate reaching law; variable structure control (VSC);

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2010 8th World Congress on

Conference_Location

Jinan

Print_ISBN

978-1-4244-6712-9

Type

conf

DOI

10.1109/WCICA.2010.5554160

Filename

5554160