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Article
Hybrid extended Fourier series for optimal control of nonlinear algebraic dynamical systems
Journal of Control Theory and Applications (2011)
  • Jalal Nazarzadeh, Shahed University
  • Hamidreza Radmanesh, Shahed University
Abstract

The paper introduces a new method for finding optimal control of algebraic dynamic systems. The structure of algebraic dynamical systems is nonlinear with quadratic and bilinear terms. A new hybrid extended Fourier series is introduced, and state and control variables of the system are expanded by this series. Moreover, properties of new series are presented, and integration and product operational matrices are obtained. Using operational matrices, optimal control of the systems is converted to a set of simultaneous nonlinear algebraic relations. An illustrative example is included to compare our results with those in the literature.

Keywords
  • Bilinear systems,
  • Hybrid extended Fourier series,
  • Nonlinear algebraic dynamic systems,
  • Quadratic systems,
  • Optimal control
Publication Date
Fall November, 2011
Citation Information
Jalal Nazarzadeh and Hamidreza Radmanesh. "Hybrid extended Fourier series for optimal control of nonlinear algebraic dynamical systems" Journal of Control Theory and Applications Vol. 9 Iss. 4 (2011)
Available at: http://works.bepress.com/hamidreza_radmanesh/10/