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Computing Switching Surfaces in Optimal Control Based on Triangular Decomposition

Published online by Cambridge University Press:  16 July 2018

Xiaoliang Li ,
Yanli Huang ,
Zewei Zheng  and
Wanyou Cheng
Xiaoliang Li
Affiliation:
School of Computer Science, Dongguan University of Technology, Dongguan, Guangdong 523808, China. Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi University for Nationalities, Nanning 530006, China.
Yanli Huang*
Affiliation:
School of Computer Science and Software Engineering, Tianjin Polytechnic University, Tianjin 300387, China. Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi University for Nationalities, Nanning 530006, China.
Zewei Zheng
Affiliation:
School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China.
Wanyou Cheng
Affiliation:
School of Computer Science, Dongguan University of Technology, Dongguan, Guangdong 523808, China.
*
*Corresponding author.Email address:huangyanlibuaa@gmail.com
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Abstract

Various algorithms for optimal control require the explicit determination of switching surfaces. However, switching strategies may be very complicated, such that the computation of switching surfaces is quite challenging. General methods are proposed here to compute switching surfaces systematically, based on algebraic computational tools such as triangular decomposition. Our methods are highly complex compared to some widely-used numerical options, but they can be made feasible for realtime applications by moving the computational burden off-line. The tutorial-style presentation is intended to introduce potentially powerful symbolic computation methods to system scientists in particular, and an illustrative example of time-optimal control is given to show the effectiveness and generality of our approach.

Keywords

13P1513P25Optimal controlswitching surfacetriangular decompositionsemi-algebraic system
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 4 , Issue 4 , November 2014 , pp. 345 - 367
Copyright
Copyright © Global-Science Press 2014

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