Abstract
In this paper, we used the modified quadruple tank system that represents a multi-input-multi-output (MIMO) system as an example to present the realization of a linear discrete-time state space model and to obtain the state estimation using Kalman filter in a methodical mannered. First, an existing dynamics of the system of stochastic differential equations is linearized to produce the deterministic-stochastic linear transfer function. Then the linear transfer function is discretized to produce a linear discrete-time state space model that has a deterministic and a stochastic component. The filtered part of the Kalman filter is used to estimates the current state, based on the model and the measurements. The static and dynamic Kalman filter is compared and all results is demonstrated through simulations.
Original language | English |
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Article number | 012013 |
Book series | Journal of Physics: Conference Series |
Volume | 783 |
Number of pages | 11 |
ISSN | 1742-6596 |
DOIs | |
Publication status | Published - 2017 |
Event | 13th European Workshop on Advanced Control and Diagnosis - Graduate School of Engineering "Hautes Etudes d'Ingenieur", Lille, France Duration: 17 Nov 2016 → 19 Nov 2016 http://acd2016.eu/ |
Workshop
Workshop | 13th European Workshop on Advanced Control and Diagnosis |
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Location | Graduate School of Engineering "Hautes Etudes d'Ingenieur" |
Country | France |
City | Lille |
Period | 17/11/2016 → 19/11/2016 |
Internet address |
Bibliographical note
Content from this work may be used under the terms of theCreative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing LtdKeywords
- Filtering methods in signal processing
- Mathematical analysis
- Other topics in statistics
- Multivariable control systems
- Discrete control systems
- Linear control systems
- Simulation, modelling and identification
- Signal processing theory
- Control system analysis and synthesis methods