An infinite horizon predictive control algorithm based on multivariable input-output models

• Autorzy: Maciej Ławryńczuk , Piotr Tatjewski
• Języki publikacji: EN

Abstrakty

EN

In this paper an infinite horizon predictive control algorithm, for which closed loop stability is guaranteed, is developed in the framework of multivariable linear input-output models. The original infinite dimensional optimisation problem is transformed into a finite dimensional one with a penalty term. In the unconstrained case the stabilising control law, using a numerically reliable SVD decomposition, is derived as an analytical formula, calculated off-line. Considering constraints needs solving on-line a quadratic programming problem. Additionally, it is shown how free and forced responses can be calculated without the necessity of solving a matrix Diophantine equation.

Słowa kluczowe

EN

infinite horizon; model predictive control; quadratic programming; singular-value decomposition; stability

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: 14
• Numer: 2
• Strony: 167-180

Daty

wydano

2004

otrzymano

2002-11-16

poprawiono

2004-02-02

Twórcy

autor

Maciej Ławryńczuk

• Warsaw University of Technology, Institute of Control and Computation Engineering, ul. Nowowiejska 1519, 00-665 Warszawa, Poland

autor

Piotr Tatjewski

• Warsaw University of Technology, Institute of Control and Computation Engineering, ul. Nowowiejska 1519, 00-665 Warszawa, Poland

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