Title :
MIMO robust predictive control applied to a three tanks system
Author :
Bouzouita, Badreddine ; Bouani, Faouzi ; Wertz, Vincent ; Ksouri, Mekki
Author_Institution :
Nat. Eng. Sch. of Tunis, Tunis
Abstract :
This paper provides an application of linear and nonlinear multivariable robust predictive control to a three tanks system. The design of the nonlinear solution is based on a Multi-Input Multi-Output Nonlinear Auto Regressive with eXogenous outputs (MIMO-NARX) model and the linear controller considers a MIMO Controlled Auto Regressive Integrated Moving Average (MIMO-CARIMA) model. Polytopic uncertainties and structured uncertainties are adopted in order to take into account the uncertain physical dynamics of the system. Using worst case strategy, the control law is obtained by the resolution of a min-max optimization problem. However, the performance criterion to be optimized is non-convex. A genetic algorithm is adopted to solve the control problem. The efficiency of the developed strategies is illustrated on a three tanks system.
Keywords :
MIMO systems; flow control; genetic algorithms; linear systems; nonlinear control systems; predictive control; robust control; MIMO; controlled auto regressive integrated moving average model; genetic algorithms; min-max optimization problem; multi-input multi-output nonlinear auto regressive with exogenous outputs model; robust predictive control; uncertain system; Genetic algorithms; MIMO; Nonlinear dynamical systems; Open loop systems; Optimization methods; Predictive control; Predictive models; Robust control; State-space methods; Uncertainty; Genetic algorithms; Robust predictive control; min-max optimization problem; uncertain system;
Conference_Titel :
Control and Automation, 2008 16th Mediterranean Conference on
Conference_Location :
Ajaccio
Print_ISBN :
978-1-4244-2504-4
Electronic_ISBN :
978-1-4244-2505-1
DOI :
10.1109/MED.2008.4602135
