Development of robust intelligent tracking control system for uncertain nonlinear systems using H∞ control technique

  • Authors:
  • Ya-Fu Peng

  • Affiliations:
  • Department of Electrical Engineering, Ching-Yun University, Chung-Li, Tao-Yuan, 320, Taiwan, ROC

  • Venue:
  • Applied Soft Computing
  • Year:
  • 2011

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Abstract

In this paper, a robust intelligent tracking control (RITC) system employs an adaptive output recurrent cerebellar model articulation controller (ORCMAC) is developed for uncertain nonlinear system to achieve H^~ tracking performance. The proposed dynamic structure of ORCMAC has superior capability in efficient learning mechanism and dynamic response. Temporal relations are embedded in conventional cerebellar model articulation controller (CMAC) by adding feedback connections between the output space and input space, so that the ORCMAC captures the system dynamic. In the RITC design, the Taylor linearization technique is employed to increase the learning ability of ORCMAC and the on-line adaptive laws are derived based on the Lyapunov stability analysis, the sliding mode control methodology and the H^~ control technique so that the stability of the closed-loop system and H^~ tracking performance can be guaranteed. Finally, the proposed control system is applied to control an inverted pendulum system, a Van der Pol oscillator and a Genesio chaotic system. Simulation results demonstrate that the proposed control scheme can achieve favorable tracking performances for the uncertain nonlinear systems with unknown dynamic functions and under the occurrence of external disturbance.