Secondary delay‐partition approach on robust performance analysis for uncertain time‐varying Lurie nonlinear control system. (3rd May 2017)

• Record Type: Journal Article
• Authors: Shi, Kaibo; Tang, Yuanyan; Liu, Xinzhi; Zhong, Shouming
• Is Part Of: Optimal control applications and methods. Volume 38:Number 6(2017)
• Page Start: 1208
• Page End: 1226
• Publication Date: 2017-05-03
• Subjects: hybrid systems -- optimized integral inequality method -- parameter uncertainty -- robust control -- time‐varying delays; Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2326
• Languages: English
• ISSNs: 0143-2087

Abstract

Summary: This paper investigates the problem of robust performance analysis for Lurie nonlinear control system with parameter uncertainties and interval time‐varying delays. Based on an augmented Lyapunov‐Krasovskii functional including multiple integral terms, new delay‐dependent robust stability criteria are derived by proposing a novel secondary delay‐partition approach. Moreover, to obtain less conservative stability conditions, an optimized integral inequality is developed by introducing an adjustable parameter ς 1 . Finally, 5 numerical simulation examples are given to illustrate the effectiveness and advantages of the proposed results.