Modeling of Three-Tank System with Nonlinear Valves Based on Hybrid System Approach
نویسندگان
چکیده
In this paper we consider three-tank system as a hybrid system with discrete (on/off) valves and then we use Hybrid System’s Description Language to acquire a Mixed Logical Dynamical model of the system. In order to obtain a relatively accurate model of three-tank system, instead of using straight line approximation method for linearization of valves in whole space, we use Piecewise Affine method to overcome nonlinearities of valves, so we linearize valves in three different operation stages. By using these piecewise affine models, we produce a mixed logical model of three-tank system with reasonable accuracy which can be used in model based controllers. We provide a comparison between acquired model, hybrid model using straight line approximation method, and nonlinear model of three-tank system through simulation and numerical computation. KeywordsHybrid System; Three-Tank System; Piecewise Affine Method; Mixed Logical Dynamical Model; Hybrid System’s Description Language
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