Global asymptotic synchronization of a class of non-linear systems via sampled-data feedback

Abstract

In this paper, we investigate the problem of using sampled-data feedback to synchronize a slave (driven) system with a master (driver) system. Based on the domination approach, both state-feedback and output-feedback control methods using sampled-data are proposed to make the tracking error converge to zero. The problem is of practical importance since in practice the system state is transmitted as sampled signal, and very often only the output is measurable. The effectiveness of the proposed approach is illustrated by the simulation for a chaotic Chua oscillator.

Adaptive Control of Advanced G-L Fuzzy Systems with Several Uncertain Terms in Membership-Matrices

“…This new modeling approach was proposed in an attempt to raise the efficiency of fuzzy modeling, simplify the modeling procedure, and reduce the numbers of modeling materials and feedback control inputs during fuzzy control. This novel modeling approach has been cited over 50 times in various research fields and applications; for instance, H∞ control design [38][39][40][41][42], design and control of memristive systems [43][44][45][46], data encryption [47][48][49][50], sampled-data control [51][52][53] and other applications [54][55][56][57][58][59][60]. Moreover, Li et al [61] extended a new concept of a nonlinear terms group to further improve the effectiveness of the G-L fuzzy model in 2015, called advanced G-L fuzzy modeling strategy (GLT fuzzy system).…”

Global sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems with quantized input and unknown output gain

“…However, this assumption does not always hold in practical applications. On the other hand, the problems related to stability analysis and control synthesis of switched stochastic nonlinear systems have received a lot of attention (Huang and Xiang, 2016a; Sheng et al, 2014; Yan et al, 2018). In non-switched case, Zha et al (2017) designed an output feedback controller to stabilize uncertain stochastic nonlinear systems by a recursive method.…”

“…With the rapid growth of digital technology, more and more research communities prefer digital control process rather than analog control process while modeling the modern telecommunication networks. Sampled-data controllers can be implemented by powerful micro-controllers or digital computers to enhance the design flexibility and lower the implementation cost (Lan and Li, 2017; Mao et al, 2018; Qian and Du, 2012; Yan et al, 2018; Zhai et al, 2016). It is not difficult to find that the discrete-time controllers of the aforementioned works were obtained by discretizing continuous-time controllers with proper sampling period.…”