TITLE:
An Expanded Optimal Control Policy for a Coupled Tanks System with Random Disturbance
AUTHORS:
Sie Long Kek, Sy Yi Sim, Chuei Yee Chen
KEYWORDS:
Expanded Optimal Control, Coupled Tanks System, Model-Reality Differences, Iterative Solution, Adjusted Parameters
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.9 No.4,
April
11,
2019
ABSTRACT: In this paper, an expanded optimal control policy is
proposed to study the coupled tanks system, where the random disturbance is
added into the system. Since the dynamics of the coupled tanks system can be
formulated as a nonlinear system, determination of the optimal water level in
the tanks is useful for the operation decision. On this point of view, the
coupled tanks system dynamics is usually linearized to give the steady state
operating height. In our approach, a model-based optimal control problem, which
is adding with adjusted parameters, is considered to obtain the true operating
height of the real coupled tanks system. During the computation procedure, the
differences between the real plant and the model used are measured repeatedly,
where the optimal solution of the model used is updated. On this basis, system
optimization and parameter estimation are integrated. At the end of the iteration,
the iterative solution approximates to the correct optimal solution of the
original optimal control problem, in spite of model-reality differences. In
conclusion, the efficiency of the approach proposed is shown.