State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements
This paper is concerned with the state estimation problem for a class of time-delay systems with Markovian jump parameters and missing measurements, considering the fact that data missing may occur in the process of transmission and its failure rates are governed by random variables satisfying certa...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/379565 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562730734714880 |
|---|---|
| author | Yushun Tan Qiong Qi Jinliang Liu |
| author_facet | Yushun Tan Qiong Qi Jinliang Liu |
| author_sort | Yushun Tan |
| collection | DOAJ |
| description | This paper is concerned with the state estimation problem for a class of time-delay systems with Markovian jump parameters and missing measurements, considering the fact that data missing may occur in the process of transmission and its failure rates are governed by random variables satisfying certain probabilistic distribution. By employing a new Lyapunov function and using the convexity property of the matrix inequality, a sufficient condition for the existence of the desired state estimator for Markovian jump systems with missing measurements can be achieved by solving some linear matrix inequalities, which can be easily facilitated by using the standard numerical software. Furthermore, the gain of state estimator can also be derived based on the known conditions. Finally, a numerical example is exploited to demonstrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-474f6aabd25349baa749645614102cca |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-474f6aabd25349baa749645614102cca2025-02-03T01:21:56ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/379565379565State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing MeasurementsYushun Tan0Qiong Qi1Jinliang Liu2Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210023, ChinaDepartment of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210023, ChinaDepartment of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, Jiangsu 210023, ChinaThis paper is concerned with the state estimation problem for a class of time-delay systems with Markovian jump parameters and missing measurements, considering the fact that data missing may occur in the process of transmission and its failure rates are governed by random variables satisfying certain probabilistic distribution. By employing a new Lyapunov function and using the convexity property of the matrix inequality, a sufficient condition for the existence of the desired state estimator for Markovian jump systems with missing measurements can be achieved by solving some linear matrix inequalities, which can be easily facilitated by using the standard numerical software. Furthermore, the gain of state estimator can also be derived based on the known conditions. Finally, a numerical example is exploited to demonstrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2014/379565 |
| spellingShingle | Yushun Tan Qiong Qi Jinliang Liu State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements Abstract and Applied Analysis |
| title | State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements |
| title_full | State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements |
| title_fullStr | State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements |
| title_full_unstemmed | State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements |
| title_short | State Estimation for Time-Delay Systems with Markov Jump Parameters and Missing Measurements |
| title_sort | state estimation for time delay systems with markov jump parameters and missing measurements |
| url | http://dx.doi.org/10.1155/2014/379565 |
| work_keys_str_mv | AT yushuntan stateestimationfortimedelaysystemswithmarkovjumpparametersandmissingmeasurements AT qiongqi stateestimationfortimedelaysystemswithmarkovjumpparametersandmissingmeasurements AT jinliangliu stateestimationfortimedelaysystemswithmarkovjumpparametersandmissingmeasurements |