Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems
A bounded controller is proposed for a class of uncertain discrete time-delay systems with nonlinearity and disturbance based on state estimator and disturbance observer technique. A state estimator is developed to estimate the unmeasured system state vector. Suppose that the disturbance is generate...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/135248 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562768673243136 |
|---|---|
| author | Bei Wu Mou Chen Xiaoming Chen |
| author_facet | Bei Wu Mou Chen Xiaoming Chen |
| author_sort | Bei Wu |
| collection | DOAJ |
| description | A bounded controller is proposed for a class of uncertain discrete time-delay systems with nonlinearity and disturbance based on state estimator and disturbance observer technique. A state estimator is developed to estimate the unmeasured system state vector. Suppose that the disturbance is generated by an exogenous system; a disturbance observer is designed to estimate the unknown disturbance. The parameters of the state estimator and the disturbance observer are calculated by solving linear matrix inequalities (LMIs). By applying the outputs of the state estimator and the disturbance observer, the sufficient condition for the existence of the bounded controller is derived based on an appropriate Lyapunov function candidate. Under the developed bounded controller, the stability of the closed-loop system can be guaranteed. Simulation examples are provided to show the effectiveness of the proposed bounded control scheme. |
| format | Article |
| id | doaj-art-cb7663d2e7af49e292a76f1d62c3c2f1 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-cb7663d2e7af49e292a76f1d62c3c2f12025-02-03T01:21:52ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/135248135248Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear SystemsBei Wu0Mou Chen1Xiaoming Chen2College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, ChinaCollege of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, ChinaCollege of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, ChinaA bounded controller is proposed for a class of uncertain discrete time-delay systems with nonlinearity and disturbance based on state estimator and disturbance observer technique. A state estimator is developed to estimate the unmeasured system state vector. Suppose that the disturbance is generated by an exogenous system; a disturbance observer is designed to estimate the unknown disturbance. The parameters of the state estimator and the disturbance observer are calculated by solving linear matrix inequalities (LMIs). By applying the outputs of the state estimator and the disturbance observer, the sufficient condition for the existence of the bounded controller is derived based on an appropriate Lyapunov function candidate. Under the developed bounded controller, the stability of the closed-loop system can be guaranteed. Simulation examples are provided to show the effectiveness of the proposed bounded control scheme.http://dx.doi.org/10.1155/2015/135248 |
| spellingShingle | Bei Wu Mou Chen Xiaoming Chen Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems Discrete Dynamics in Nature and Society |
| title | Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems |
| title_full | Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems |
| title_fullStr | Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems |
| title_full_unstemmed | Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems |
| title_short | Observer-Based Bounded Control for Discrete Time-Delay Uncertain Nonlinear Systems |
| title_sort | observer based bounded control for discrete time delay uncertain nonlinear systems |
| url | http://dx.doi.org/10.1155/2015/135248 |
| work_keys_str_mv | AT beiwu observerbasedboundedcontrolfordiscretetimedelayuncertainnonlinearsystems AT mouchen observerbasedboundedcontrolfordiscretetimedelayuncertainnonlinearsystems AT xiaomingchen observerbasedboundedcontrolfordiscretetimedelayuncertainnonlinearsystems |