Decentralized Adaptive Control of Large-Scale Non-Affine Nonlinear Time-Delay Systems Using Wavelet Neural Networks

Subject Areas : Adaptive control

Elaheh Saeedi ¹ , Bahram Karimi ² , Mostafa \خخقذثاه ³

1 - Islamic Azad University, Najafabad Branch
2 - Malek-Ashtar University of Technology, Isfahan
3 - Instrument Expert, IranKhodro Tam, Tehran

Received: 2015-01-05 Accepted : 2015-01-05 Published : 2014-09-01

Keywords: Adaptive control, Wavelet Neural Network, Large- scale system, non-affine nonlinear system,

Abstract :

In this paper, a decentralized adaptive controller with using wavelet neural network is used for a class of large-scale nonlinear systems with time- delay unknown nonlinear non- affine subsystems. The entered interruptions in subsystems are considered nonlinear with time delay, this is closer the reality, compared with the case in which the delay is not considered for interruptions. In this paper, the output weights of wavelet neural network and the other parameters of wavelet are adjusted online. The stability of close loop system is guaranteed with using the Lyapanov- Krasovskii method. Moreover the stability of close loop systems, guaranteed tracking error is converging to neighborhood zero and also all of the signals in the close loop system are bounded. Finally, the proposed method, simulated and applied for the control of two inverted pendulums that connected by a spring and the computer results, show that the efficiency of suggested method in this paper.

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