Open AccessAnti‐windup design for rational systems by linear‐fractional representation
Author(s) -
Wang Naizhou,
Pei Hailong,
Wang Jun,
Zhang Qian
Publication year - 2014
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.2013.0289
Subject(s) - control theory (sociology) , representation (politics) , linear system , mathematics , computer science , control engineering , control (management) , engineering , artificial intelligence , mathematical analysis , politics , political science , law
This study investigates both static and dynamic anti‐windup problems for rational systems subject to actuator saturation. New approaches for the synthesis of anti‐windup compensators are proposed based on the linear‐fractional representation of rational non‐linear systems. By using quadratic Lyapunov function and with a modified sector condition, convex optimisation algorithms based on linear‐matrix inequalities are devised to maximise the region of attraction and the ℒ 2 bound on disturbances and minimise the ℒ 2 ‐gain from disturbance to performance output. Numerical examples illustrate the effectiveness of the proposed approach.