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Extension of first order Predictive Functional Controllers to handle higher order internal models

100%

Khadir M., Ringwood J.

International Journal of Applied Mathematics and Computer Science

2008

tom 18

nr 2

229-239

Predictive Functional Control (PFC), belonging to the family of predictive control techniques, has been demonstrated as a powerful algorithm for controlling process plants. The input/output PFC formulation has been a particularly attractive paradigm for industrial processes, with a combination of simplicity and effectiveness. Though its use of a lag plus delay ARX/ARMAX model is justified in many applications, there exists a range of process types which may present difficulties, leading to chattering and/or instability. In this paper, instability of first order PFC is addressed, and solutions to handle higher order and difficult systems are proposed. The input/output PFC formulation is extended to cover the cases of internal models with zero and/or higher order pole dynamics in an ARX/ARMAX form, via a parallel and cascaded model decomposition. Finally, a generic form of PFC, based on elementary outputs, is proposed to handle a wider range of higher order oscillatory and non-minimum phase systems. The range of solutions presented are supported by appropriate examples.

Analytic results for oscillatory systems with extremal dynamic properties

100%

Górecki H., Zaczyk M.

International Journal of Applied Mathematics and Computer Science

2014

tom 24

nr 4

771-784

The maximal value of the error is the most important criterion in system design. It is also the most difficult one. For that reason there exist many other criteria. The extreme value of the error represents the attainable accuracy which can be obtained and the corresponding extreme time gives information about how fast the transients are. The extreme values of the error and the corresponding time are treated here as functions of the roots of the characteristic equation. The proposed analytical formulae allow designing systems with prescribed dynamic properties.

Ograniczanie wyników

2 International Journal of Applied Mathematics and Computer Science

1 Górecki H.

1 Khadir M.

1 Ringwood J.

1 Zaczyk M.

1 2014

1 2008

Wyniki wyszukiwania

Extension of first order Predictive Functional Controllers to handle higher order internal models

Analytic results for oscillatory systems with extremal dynamic properties