Analysis and design of delta operator systems with nested actuator saturation. Issue 15 (17th November 2016)

• Record Type: Journal Article
• Authors: Shi, Peng; Yang, Hongjiu; Zhang, Luyang
• Is Part Of: International journal of systems science. Volume 47:Issue 15(2016)
• Page Start: 3704
• Page End: 3710
• Publication Date: 2016-11-17
• Subjects: Delta operator system -- nested saturation -- actuator saturation -- domain of attraction; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2015.1116643
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: In this paper, the problem of estimating the domain of attraction is considered for delta operator systems subject to nested actuator saturation. A set invariance condition is established for the delta operator system with nested actuator saturation in terms of auxiliary feedback matrices. Based on the set invariance condition, an optimisation approach is proposed to estimate the domain of attraction for the delta operator system. Thereby, the partial results of nested actuator saturation for both continuous-time systems and discrete-time systems are extended to delta operator system framework. A numerical example is provided to illustrate the effectiveness of the proposed design techniques.