Open AccessSmooth switching linear parameter‐varying control for hypersonic vehicles via a parameter set automatic partition method
Author(s) -
Jiang Weilai,
Dong Chaoyang,
Wang Qing
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2015.0178
Subject(s) - control theory (sociology) , partition (number theory) , dwell time , scheduling (production processes) , regular polygon , set (abstract data type) , computer science , mathematical optimization , mathematics , control (management) , artificial intelligence , medicine , clinical psychology , geometry , combinatorics , programming language
This study presents a systematic approach to design smooth switching linear parameter‐varying (LPV) controllers for hypersonic vehicles (HVs). Considering the switched LPV model of HVs, the smooth switching controllers are designed by means of dividing the scheduling parameter set into subsets with overlaps and the controllers in the overlapped subsets are smoothly scheduled between controllers in adjacent subsets. A switching law without constraint on average dwell time is obtained which makes the conclusion less conservative. To divide the parameter set automatically, a novel set partition method, in which the selecting of datum vertex and the handling of unpartitioned subset are innovative, is proposed. The switching LPV controllers that achieve a desired performance are constructed efficiently by solving a convex optimisation problem. Simulation results for HVs demonstrate the effectiveness of the proposed smooth switching LPV controllers and parameter set division method.