Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs
The paper presents the design of a new reduced-order multiple observer for the estimation of the state associated with Takagi-Sugeno systems with unknown inputs, this being only the second reduced-order multiple observer ever designed. The design of reduced-order multiple observers which can achieve...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/5231989 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559233888944128 |
|---|---|
| author | Mihai Lungu |
| author_facet | Mihai Lungu |
| author_sort | Mihai Lungu |
| collection | DOAJ |
| description | The paper presents the design of a new reduced-order multiple observer for the estimation of the state associated with Takagi-Sugeno systems with unknown inputs, this being only the second reduced-order multiple observer ever designed. The design of reduced-order multiple observers which can achieve the finite-time state reconstruction for nonlinear systems described by multiple models is a niche area problem; the author of this paper continuing his work started with the introduction of the reduced-order multiple observer concept. The new multiple observer is a combination of a typical reduced-order observer for linear-time invariant multivariable systems and a full-order multiple observer for Takagi-Sugeno systems. The sufficient stability conditions of the observer are derived via the Lyapunov theory and its robustness is improved by means of a novel and efficient method which cancels the negative effect of the uncertainties appearing in the system. To validate the suggested design algorithm, the steps of the design procedure have been summarized and software implemented for the concrete case of a light aircraft lateral-directional motion. |
| format | Article |
| id | doaj-art-ac3e50587daa4dfdaf76c45372f2ed04 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ac3e50587daa4dfdaf76c45372f2ed042025-02-03T01:30:33ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/52319895231989Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown InputsMihai Lungu0Faculty of Electrical Engineering, University of Craiova, 107 Decebal Blvd., Craiova, RomaniaThe paper presents the design of a new reduced-order multiple observer for the estimation of the state associated with Takagi-Sugeno systems with unknown inputs, this being only the second reduced-order multiple observer ever designed. The design of reduced-order multiple observers which can achieve the finite-time state reconstruction for nonlinear systems described by multiple models is a niche area problem; the author of this paper continuing his work started with the introduction of the reduced-order multiple observer concept. The new multiple observer is a combination of a typical reduced-order observer for linear-time invariant multivariable systems and a full-order multiple observer for Takagi-Sugeno systems. The sufficient stability conditions of the observer are derived via the Lyapunov theory and its robustness is improved by means of a novel and efficient method which cancels the negative effect of the uncertainties appearing in the system. To validate the suggested design algorithm, the steps of the design procedure have been summarized and software implemented for the concrete case of a light aircraft lateral-directional motion.http://dx.doi.org/10.1155/2018/5231989 |
| spellingShingle | Mihai Lungu Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs Complexity |
| title | Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs |
| title_full | Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs |
| title_fullStr | Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs |
| title_full_unstemmed | Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs |
| title_short | Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs |
| title_sort | design of reduced order multiple observers for uncertain systems with unknown inputs |
| url | http://dx.doi.org/10.1155/2018/5231989 |
| work_keys_str_mv | AT mihailungu designofreducedordermultipleobserversforuncertainsystemswithunknowninputs |