In this paper, a Haar wavelet-based method for optimal control of the second-order linear systems with respect to a quadratic cost function for any length of time is proposed. A Haar wavelet integral operational matrix and properties of the Kronecker product are used in finding the approximate solutions of optimal trajectories and optimal control by solving only two algebraic equations instead of solving the Riccati differential equation. Numerical results of a typical example are presented to illustrate the advantage of the approach. © 2005 Springer Science+Business Media, Inc.

Haar wavelet-based approach for optimal control of second-order linear systems in time domain

Karimi, H. R.;
2005-01-01

Abstract

In this paper, a Haar wavelet-based method for optimal control of the second-order linear systems with respect to a quadratic cost function for any length of time is proposed. A Haar wavelet integral operational matrix and properties of the Kronecker product are used in finding the approximate solutions of optimal trajectories and optimal control by solving only two algebraic equations instead of solving the Riccati differential equation. Numerical results of a typical example are presented to illustrate the advantage of the approach. © 2005 Springer Science+Business Media, Inc.
2005
Haar wavelet; Integral operational matrix; Optimal control; Second-order linear systems; Control and Systems Engineering; Algebra and Number Theory; Numerical Analysis; Control and Optimization
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1046188
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