Exponential stabilization for fuzzy sampled-data system based on a unified framework and its application. Issue 13 (September 2017)

• Record Type: Journal Article
• Authors: Li, Jingying; Huang, Xianlin; Li, Zhengchao
• Is Part Of: Journal of the Franklin Institute. Volume 354:Issue 13(2017)
• Page Start: 5302
• Page End: 5327
• Publication Date: 2017-09
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2017.06.013
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This article deals with the exponential stabilization problems of Takagi–Sugeno (T–S) fuzzy system under aperiodic sampling. The objective is to solve the H ∞, L 2 − L ∞, passive and dissipative stability and stabilization problems based on a unified performance index-extended dissipativity. Some new stability conditions consisting of both exponential stability and extended dissipativity criterion are first established. A sampling period dependent Lyapunov–Krasovskii function together with a novel efficient integral inequality, which has the advantage of reducing conservativeness, is adopted. On the basis of the stability conditions, a sampled-data controller that can not only exponentially stabilize the system but also guarantee the prescribed extended-dissipativity performance is then designed. Moreover, an exponential decay rate can be set in advance to achieve better system performance. Finally, a quarter-vehicle active suspension system with considering payload uncertainties and aperiodic sampling is provided for evaluating the validity and superiority of the extended dissipative control approach proposed in this article.