Co-design method for H_∞ control of quantized T-S fuzzy system over the networked system

Article type: Research Article

Authors: Aslam, Muhammad Shamrooz^{; *}

Affiliations: School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou, China

Correspondence: [*] Corresponding author. Muhammad Shamrooz Aslam, School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China. E-mail: shamrooz_aslam@outlook.com.

Abstract: This paper deals with the problem of quantized state feedback H∞ control for T-S fuzzy systems with appearing the communication delay under stochastic nonlinearity. To accomplish the objective a uniform framework for effective bandwidth utilization is employed to design co-design method. First of all, the co-design method is proposed such that the data can be communicated according to some logic function. Then, we implemented the measurement size-reduction scheme, using the logarithmic quantization. Additionally, we provided the impact of co-design method and quantization, on the original model of networked control systems (NCSs) is redeveloped as a new structure of hybrid-triggered NCSs with network induced delay. Moreover, Lyapunov-Krasovskii functional is considered to grantee the closed-loop for stochastic stability analysis of the T-S fuzzy system. The solvability of Lyapunov-Krasovskii functional results in the formation of Linear matrix inequalities. The solution of Linear matrix inequalities leads to the controller gains to perform simulations to validate the proposed scheme.

Keywords: Communication-delay, lyapunov-krasovskii functionals, quantizer, co-design method

DOI: 10.3233/JIFS-191708

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 1, pp. 771-788, 2020