Hybrid modeling and model based control of the four tank process

Abstract

Hybrid systems contain both continuous dynamics and discrete elements, where discrete transitions happen between different continuous operating modes as a consequence of certain events. The notion of modeling these types of systems is discussed in regard to the four tank process, which has hybrid and nonlinear characteristics. This paper describes the modeling of this system in Simscape software and a hybrid model is created as well, with a hybrid controller being built around it that includes finite-state automata and PI controller. Simulations implemented in Matlab Simulink software prove the viability and correctitude of the method presented.

Identification and control of nonlinear systems using PieceWise Auto-Regressive eXogenous models

“…In fact, we consider two examples of non linear systems. The first one is a simulated level control system that is frequently used in the nonlinear system literature (Kardos and Kutasi, 2017;Pan et al, 2005;Sarailoo et al, 2014;Wen et al, 2012) and the second is a Hammerstein system (Wang et al, 2014) implemented in real time using an electronic circuit connected to a computer by an interface card (Lassoued, 2015). Simulation example: Level control system…”

Fault diagnosis for hybrid systems based on a bank of linear observers and a discrete automaton

“…where the following notations are used: The model 1 can be linearized around an operating point. Thus, the linear state space representation of the studied system can be expressed as follows [18]:…”