Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2013, Special Issue (2013), Article ID 732738, 7 pages.

Nonlinear H Optimal Control Scheme for an Underwater Vehicle with Regional Function Formulation

Zool H. Ismail and Matthew W. Dunnigan

Full-text: Open access

Abstract

A conventional region control technique cannot meet the demands for an accurate tracking performance in view of its inability to accommodate highly nonlinear system dynamics, imprecise hydrodynamic coefficients, and external disturbances. In this paper, a robust technique is presented for an Autonomous Underwater Vehicle (AUV) with region tracking function. Within this control scheme, nonlinear H and region based control schemes are used. A Lyapunov-like function is presented for stability analysis of the proposed control law. Numerical simulations are presented to demonstrate the performance of the proposed tracking control of the AUV. It is shown that the proposed control law is robust against parameter uncertainties, external disturbances, and nonlinearities and it leads to uniform ultimate boundedness of the region tracking error.

Article information

Source
J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 732738, 7 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394806115

Digital Object Identifier
doi:10.1155/2013/732738

Mathematical Reviews number (MathSciNet)
MR3124605

Zentralblatt MATH identifier
06950846

Citation

Ismail, Zool H.; Dunnigan, Matthew W. Nonlinear ${H}_{\infty }$ Optimal Control Scheme for an Underwater Vehicle with Regional Function Formulation. J. Appl. Math. 2013, Special Issue (2013), Article ID 732738, 7 pages. doi:10.1155/2013/732738. https://projecteuclid.org/euclid.jam/1394806115


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