Exact sampled data representation of continuous time nonlinear systems by finite polynomials with exactly determined coefficients

2001 ◽  
Author(s):  
S. Hohmann ◽  
A. Konrad ◽  
V. Krebs
Keyword(s):  
Nonlinear Systems ◽  
Continuous Time ◽  
Data Representation ◽  
Sampled Data

Sampled Data Representation of Nonlinear State Delay System

2012 ◽  
Vol 263-266 ◽  
pp. 179-183
Author(s):  
Qing Liu
Keyword(s):  
Time Delay ◽  
Nonlinear System ◽  
Nonlinear Systems ◽  
Data Representation ◽  
Sampled Data ◽  
Nonlinear Controller ◽  
Time Model ◽  
Finite Dimensional Representation ◽  
State Time ◽  
Delay Phenomenon

A state time delay always exists in practical systems. Analysis of the delay phenomenon in a continuous time domain is sophisticated. It is appropriate to obtain its corresponding discrete time model for implementation via a digital computer. A new method for the discretization of nonlinear systems is proposed in this paper. This method is applied to the sampled data representation of a nonlinear system with constant state time delay. The proposed scheme provides a finite dimensional representation for nonlinear systems with state time delay enabling existing nonlinear controller design techniques to be applied to them. A performance of the proposed method is evaluated using a nonlinear system with state time delay.

The Effects of Modelling Strategies on Responses of Inventory Models

2017 ◽  
Vol 4 (1) ◽  
pp. 19-43 ◽  
Author(s):  
Anthony S. White ◽  
Michael Censlive
Keyword(s):  
Continuous Time ◽  
Minimum Cost ◽  
Data Representation ◽  
Step Response ◽  
Sampled Data ◽  
Inventory Models ◽  
Exponential Form ◽  
Review Period ◽  
Main Effect ◽  
Modelling Strategies

This paper describes methods to model inventories from the APVIOBPCS family. It aims to examine the limits of modelling approaches within control-theoretic models using the Simulink package. Discrete and continuous time models were considered together with a finite pipeline delay and the Forrester exponential delay, in continuous and sampled data representation. The main effect of using a finite delay is to deepen the stock-out and increase the required order rate compared with the same response observed with an exponential form delay. Total time for recovery is similar with all models. The discrete performances are close to the continuous representation for a smaller review period. Results presented here illustrate that the various forms of control-theoretic models present similar step response results irrespective of simulation technique used provided they have the same delay type. However, the gains required for minimum cost are substantially different for each delay form and modelling technique used.

TS-based sampled-data model predictive controller for continuous-time nonlinear systems

2018 ◽  
Vol 49 (16) ◽  
pp. 3284-3295 ◽  
Author(s):  
Navid Vafamand ◽  
S. Vahid Naghavi ◽  
Ali Akbar Safavi ◽  
Alireza Khayatian ◽  
Mohammad Hassan Khooban ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Data Model ◽  
Continuous Time ◽  
Sampled Data ◽  
Model Predictive Controller ◽  
Predictive Controller
Sign in / Sign up

Export Citation Format

Share Document