Sampled-data stabilization of chaotic systems based on a T-S fuzzy model
MetadataShow full item record
© 2019 Elsevier Inc. This paper investigates the problem of stability and stabilization of a class of chaotic system through the use of sampled-data control. By employing a Takagi–Sugeno (T-S) fuzzy model to describe the chaotic system and using a time-dependent Lyapunov function, an exponential stability condition is derived for the resulting closed-loop systems with input saturation constraint. Based on this condition, a fuzzy sampled-data controller is designed to stabilize the systems under consideration. The results obtained in this paper are based on the actual characteristic of sampling model. They depend explicitly on both the upper and lower bounds of sampling intervals. The chaotic Lorenz system is considered and solved by using the proposed approach so as to demonstrate the benefits and the superiority of the proposed approach over existing methods.
Showing items related by title, author, creator and subject.
Xu, Honglei (2009)Switched systems belong to a special class of hybrid systems, which consist of a collection of subsystems described by continuous dynamics together with a switching rule that specifies the switching between the subsystems. ...
Zeng, Hong-Bing; Teo, Kok Lay; He, Y.; Xu, Honglei; Wang, Wei (2017)In this paper, the sampled-data control is applied to synchronize chaotic neural networks subject to actuator saturation. By employing a time-dependent Lyapunov functional that captures the characteristic information of ...
Romeira, B.; Figueiredo, J.; Ironside, Charlie; Javaloyes, J. (2013)In this chapter we present a comprehensive study on the dynamics of novel nonlinear optoelectronic oscillators (OEO) modeled by Liénard OEO systems. The OEO dynamical systems are based on negative differential resistance ...