Stability and Stabilization Criteria for Sampled-data Control System via Augmented Lyapunov-Krasovskii Functionals

• Published in: International journal of control, automation, and systems Vol. 16; no. 5; pp. 2290 - 2302
• Main Authors: Lee, Chang Ho, Lee, Seung Hoon, Park, Myeong Jin, Kwon, Oh Min
• Format: Journal Article
• Language: English
• Published: Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.10.2018; Springer Nature B.V; 제어·로봇·시스템학회
• Subjects: Control; Control stability; Control systems design; Controllers; Engineering; Image enhancement; Manipulators; Mechatronics; Proportional derivative; Regular Papers; Robot arms; Robotics; Servocontrol; Sliding mode control; Uncertainty; 제어계측공학; sampled-data system; linear matrix inequality; Lyapunov-Krasovskii theory; Cone complementarity linearization algorithm
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-017-0720-z

This paper proposes improved stability and stabilization conditions for sampled-data systems. Some newly augmented Lyapunov-Krasovskii functionals are constructed to derive enhanced conditions. First, a stability criterion for the sampled-data systems is established in terms of linear matrix inequalities (LMIs). Second, a controller design method is introduced in terms of nonlinear matrix inequalities (NLMIs). In order to solve the NLMI problem, cone complementarity linearization algorithm is introduced. Finally, numerical examples are included to show that the results obtained from the proposed method provide less conservative results, which support the superiority of our criteria.