System identification (2nd ed.): theory for the user
System identification (2nd ed.): theory for the user
Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
SIAM Journal on Optimization
Analysis of Generalized Pattern Searches
SIAM Journal on Optimization
Scatter Search and Local NLP Solvers: A Multistart Framework for Global Optimization
INFORMS Journal on Computing
A steady-state lattice Boltzmann model for incompressible flows
Computers & Mathematics with Applications
Modeling of hydraulic control valves
ACMOS'11 Proceedings of the 13th WSEAS international conference on Automatic control, modelling & simulation
Iterative performance improvement of fuzzy control systems for three tank systems
Expert Systems with Applications: An International Journal
Computers & Mathematics with Applications
Computers & Mathematics with Applications
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This paper deals with modeling and control of a hydraulic three-tank system. A process of creating a computer model in the MATLAB/Simulink environment is described, and optimal PID (proportional-integral-derivative) and model predictive controllers are proposed. The modeling starts with the creation of an initial mathematical model based on a first-principles approach. Then, the initial model is enhanced to obtain better correspondence with a real-time system, and parameters of the modified system are identified from measurements. The real-time system contains nonlinearities which cannot be neglected, and therefore are identified and included in the final mathematical model. The resulting model is used for a control design. As the real-time system has long time constants, usage of the Simulink model dramatically speeds up the design process. Optimal PID and model predictive controllers (MPC) are proposed and compared. Model predictive controllers for both a linearized model and the nonlinear system are proposed. The techniques described are not limited to one particular modeling problem, but can be used as an illustrative example for the modeling of many technological processes.