Piecewise Affine Modeling of a Hybrid 3-Tank System
نویسندگان
چکیده
Hybrid systems are systems where both the continuous and the discrete dynamics co-exist and interact with each other, that is they freely combine dynamical features from both these systems and are therefore claimed to be more challenging that the continuous dynamical systems.[1]. The fundamental feature is its nature of hybridness that enhances flexibility and proves perfect combination of discrete and continuous reasoning. For describing such hybrid systems, a class of powerful modelling framework known as piecewise affine (PWA) systems are used. [2]. Wherein, the complex dynamics of continuous model is replaced by piecewise affine approximations which allow an analytical solution. The sequence of affine models then forms a sequence of states of a hybrid automaton.
منابع مشابه
Hybrid model predictive control of a nonlinear three-tank system based on the proposed compact form of piecewise affine model
In this paper, a predictive control based on the proposed hybrid model is designed to control the fluid height in a three-tank system with nonlinear dynamics whose operating mode depends on the instantaneous amount of system states. The use of nonlinear hybrid model in predictive control leads to a problem of mixed integer nonlinear programming (MINLP) which is very complex and time consuming t...
متن کاملModeling of Three-Tank System with Nonlinear Valves Based on Hybrid System Approach
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 meth...
متن کاملVoltage Regulation of DC-DC Series Resonant Converter Operating in Discontinuous Conduction Mode: The Hybrid Control Approach
Dynamic modeling and control of dc-dc series resonant converter (SRC) especially when operating in discontinuous conduction mode (DCM) is still a challenge in power electronics. Due to semiconductors switching, SRC is naturally represented as a switched linear system, a class of hybrid systems. Nevertheless, the hybrid nature of the SRC is commonly neglected and it is modeled as a purely contin...
متن کاملEnlarging Domain of Attraction for a Special Class of Continuous-time Quadratic Lyapunov Function Piecewise Affine Systems based on Discontinuous Piecewise
This paper presents a new approach to estimate and to enlarge the domain of attraction for a planar continuous-time piecewise affine system. Various continuous Lyapunov functions have been proposed to estimate and to enlarge the system’s domain of attraction. In the proposed method with a new vision and with the aids of a discontinuous piecewise quadratic Lyapunov function, the domain of attrac...
متن کاملModeling the Electrical Activity of a Neuron by a Continuous and Piecewise Affine Hybrid System
A hybrid system is proposed to model the electrical potential emitted by a neuron as a response to an externally applied DC current. Experimentally, Hodgkin and Huxley built a four-dimensional and nonlinear dynamical system to simulate this activity. Our idea is to use a new continuous and piecewise affine approximation as a hybrid model of the Hodgkin-Huxley dynamic. Our new model reproduces t...
متن کامل