Conference proceeding
Analytical model predictive control
Nonlinear Model Predictive Control, Vol.26, pp.163-179
01 Jan 2000
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
This presentation deals with the model predictive controllers that admit an analytical solution. In particular, short horizon and long (infinite) horizon controllers are considered. A general model predictive control (MPC) law is formulated, and it is then shown that in special cases the MPC law leads to the following:
* input-output linearizing control laws that inherently include optimal windup and directionality compensators,
* model state feedback control and modified internal model control laws that inherently include an optimal directionality compensator,
* proportional-integral (PI) and proportional-integral-derivative (PID) controllers that inherently include optimal windup and directionality compensators.
Thus, model predictive control allows for solving the important problems of optimal windup and directionality compensations in the existing analytical controllers. Other implications of this work are:
A modified internal model controller is a model predictive controller only when the characteristic (decoupling) matrix of the process under consideration can be made diagonal by row or column rearrangements, and/or the process does not have a constraint.
An original internal model controller is a model predictive controller only when the process under consideration does not have a constraint.
Special cases of long horizon MPC that lend themselves an exact or an approximate analytical solution are also discussed.
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Details
- Title
- Analytical model predictive control
- Creators
- M Soroush - Drexel UniversityK R Muske - Villanova University
- Contributors
- F Allgower (Editor) - University of StuttgartA Zheng (Editor) - University of Massachusetts Amherst
- Publication Details
- Nonlinear Model Predictive Control, Vol.26, pp.163-179
- Series
- Progress in Systems and Control Theory; 26
- Publisher
- Walter De Gruyter
- Number of pages
- 17
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Chemical and Biological Engineering
- Identifiers
- 991019170325604721
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