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

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Ławryńczuk M., Tatjewski P.

International Journal of Applied Mathematics and Computer Science

2004

tom 14

nr 2

167-180

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.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Tatjewski P.

1 Ławryńczuk M.

1 2004

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