Exponential sampled-data control for T–S fuzzy systems: application to Chua's circuit. Issue 16 (10th December 2019)

• Record Type: Journal Article
• Authors: Gunasekaran, Nallappan; Saravanakumar, Ramasamy; Syed Ali, M.; Zhu, Quanxin
• Is Part Of: International journal of systems science. Volume 50:Issue 16(2019)
• Page Start: 2979
• Page End: 2992
• Publication Date: 2019-12-10
• Subjects: Exponential stability -- Lyapunov method -- integral inequality -- sampled-data control -- T–S fuzzy systems; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2019.1691753
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: This study deals with the chaotic phenomenon of nonlinear Chua's circuit for power generator systems. Takagi–Sugeno (T–S) fuzzy model of a nonlinear system is established. By constructing a suitable Lyapunov functional, exponential stability conditions are obtained for fuzzy systems. Based on the sampled-data control theory, extreme sensitivity is visualised in the state trajectory depending on the initial conditions and sampled-data fuzzy controllers are designed in the form of linear matrix inequality (LMI). Finally, some numerical simulation results are shown that the sampled-data fuzzy control system adopts a well-designed methodology.