Structural Engineering and Mechanics

Volume 56, Number 3, 2015, pages 385-407

DOI: 10.12989/sem.2015.56.3.385

Structural system simulation and control via NN based fuzzy model

Pei-Wei Tsai, T. Hayat, B. Ahmad and Cheng-Wu Chen

Abstract

This paper deals with the problem of the global stabilization for a class of tension leg platform (TLP) nonlinear control systems. It is well known that, in general, the global asymptotic stability of the TLP subsystems does not imply the global asymptotic stability of the composite closed-loop system. Finding system parameters for stabilizing the control system is also an issue need to be concerned. In this paper, we give additional sufficient conditions for the global stabilization of a TLP nonlinear system. In particular, we consider a class of NN based Takagi-Sugeno (TS) fuzzy TLP systems. Using the so-called parallel distributed compensation (PDC) controller, we prove that this class of systems can be globally asymptotically stable. The proper design of system parameters are found by a swarm intelligence algorithm called Evolved Bat Algorithm (EBA). An illustrative example is given to show the applicability of the main result.

Key Words

linear matrix inequality; automated design; fuzzy logic model and control; Evolved Bat Algorithm

Address

Pei-Wei Tsai: College of Information Science and Engineering, Fujain University of Technology, Fuzhou, China T. Hayat: Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan B. Ahmad: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia Cheng-Wu Chen: Department of Maritime Information and Technology, National Kaohsiung Marine University, Kaohsiung, Taiwan, R.O.C.