Fuzzy optimal control for nonlinear systems with time-varying delay via sampled-data controller

Qu, Zifang; Zhang, Zhengdi; Du, Zhenbin; Zhao, Tiebiao

doi:10.1007/s00500-020-04827-6

Cited by 4 publications

(1 citation statement)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Also, the SDC has many advantages when compared with continuoustime controllers, such as efficiency, maintenance with low cost, and simple installation. According to these applications, the SDC has been utilized to investigate the various problems in T-S fuzzy systems [14][15][16][17][18]. For instance, the dissipativity and extended dissipativity for T-S fuzzy systems have been investigated via SDC in [19] and [20], respectively.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy membership function-dependent switched control for nonlinear systems with memory sampled-data information

Visakamoorthi

Subramanian²,

Muthukumar³

2022

Soft Comput

View full text Add to dashboard Cite

In this paper, a fuzzy memory-based coupling sampled-data control (SDC) is designed for nonlinear systems through the switched approach. Compared with the usual SDC scheme, by employing the Bernoulli sequence, a more general coupling switched SDC that involving the signal transmission delay is designed. The Lyapunov-Krasovskii Functional (LKF) is presented with the available characteristics of the membership function, and a coupling sampling pattern, for the T-S fuzzy systems.Based on LKF, together with time derivative information of membership function, and the generalized N -order free-matrix-based inequality, the suitable conditions are obtained in terms of linear matrix inequalities (LMIs) for guaranteeing the asymptotic stability and stabilization of the concerned system. Then the desired fuzzy coupling SDC gain is attained from the solvable LMIs. In the end, two examples are given to validate the derived theoretical results.

show abstract