Predictive control for a class of distributed delay systems using Chebyshev polynomials

In this paper, the model predictive control (MPC) is developed for linear time-varying systems with distributed time delay in state. The Chebyshev operational matrices of product, integration and delay are utilized to transform the solution of distributed delay differential equation to the solution...

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Bibliographic Details
Published in:International journal of computer mathematics 2010-06, Vol.87 (7), p.1591-1601
Main Authors: Esfanjani, R. Mahboobi, Nikravesh, Seyyed Kamaleddin Yadavar
Format: Article
Language:English
Subjects:
Algebra
Approximation
Chebyshev approximation
Chebyshev polynomials
Delay
Differential equations
distributed delay system
Integration
Mathematical analysis
Mathematical models
model predictive control
Polynomials
Predictive control
Time delay
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Summary:In this paper, the model predictive control (MPC) is developed for linear time-varying systems with distributed time delay in state. The Chebyshev operational matrices of product, integration and delay are utilized to transform the solution of distributed delay differential equation to the solution of algebraic equations. The Chebyshev functions are also applied to derive approximate solution of finite horizon optimal control problem involved in MPC. The proposed method is simple and computationally advantageous. Illustrative example demonstrates the validity and applicability of the technique.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160802403835