A PD-Type Iterative Learning Control for a Class of Switched Discrete-Time Systems with Model Uncertainties and External Noises
A PD-type iterative learning control algorithm is applied to a class of linear discrete-time switched systems for tracking desired trajectories. The application is based on assumption that the switched systems repetitively operate over a finite time interval and the switching rules are arbitrarily p...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/410292 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553343753388032 |
|---|---|
| author | Xuan Yang |
| author_facet | Xuan Yang |
| author_sort | Xuan Yang |
| collection | DOAJ |
| description | A PD-type iterative learning control algorithm is applied to a class of linear discrete-time switched systems for tracking desired trajectories. The application is based on assumption that the switched systems repetitively operate over a finite time interval and the switching rules are arbitrarily prespecified. By taking advantage of the super-vector approach, a sufficient condition of the monotone convergence of the algorithm is deduced when both the model uncertainties and the external noises are absent. Then the robust monotone convergence is analyzed when the model uncertainties are present and the robustness against the bounded external noises is discussed. The analysis manifests that the proposed PD-type iterative learning control algorithm is feasible and effective when it is imposed on the linear switched systems specified by the arbitrarily preset switching rules. The attached simulations support the feasibility and the effectiveness. |
| format | Article |
| id | doaj-art-8e78e9ccc2194847a9ec31b13d85b9ea |
| 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-8e78e9ccc2194847a9ec31b13d85b9ea2025-02-03T05:54:21ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/410292410292A PD-Type Iterative Learning Control for a Class of Switched Discrete-Time Systems with Model Uncertainties and External NoisesXuan Yang0Department of Applied Mathematics, School of Mathematics and Statistics, Xi’an Jiaotong University, 28 Xianning West Road, Xi’an, Shaanxi 710049, ChinaA PD-type iterative learning control algorithm is applied to a class of linear discrete-time switched systems for tracking desired trajectories. The application is based on assumption that the switched systems repetitively operate over a finite time interval and the switching rules are arbitrarily prespecified. By taking advantage of the super-vector approach, a sufficient condition of the monotone convergence of the algorithm is deduced when both the model uncertainties and the external noises are absent. Then the robust monotone convergence is analyzed when the model uncertainties are present and the robustness against the bounded external noises is discussed. The analysis manifests that the proposed PD-type iterative learning control algorithm is feasible and effective when it is imposed on the linear switched systems specified by the arbitrarily preset switching rules. The attached simulations support the feasibility and the effectiveness.http://dx.doi.org/10.1155/2015/410292 |
| spellingShingle | Xuan Yang A PD-Type Iterative Learning Control for a Class of Switched Discrete-Time Systems with Model Uncertainties and External Noises Discrete Dynamics in Nature and Society |
| title | A PD-Type Iterative Learning Control for a Class of Switched Discrete-Time Systems with Model Uncertainties and External Noises |
| title_full | A PD-Type Iterative Learning Control for a Class of Switched Discrete-Time Systems with Model Uncertainties and External Noises |
| title_fullStr | A PD-Type Iterative Learning Control for a Class of Switched Discrete-Time Systems with Model Uncertainties and External Noises |
| title_full_unstemmed | A PD-Type Iterative Learning Control for a Class of Switched Discrete-Time Systems with Model Uncertainties and External Noises |
| title_short | A PD-Type Iterative Learning Control for a Class of Switched Discrete-Time Systems with Model Uncertainties and External Noises |
| title_sort | pd type iterative learning control for a class of switched discrete time systems with model uncertainties and external noises |
| url | http://dx.doi.org/10.1155/2015/410292 |
| work_keys_str_mv | AT xuanyang apdtypeiterativelearningcontrolforaclassofswitcheddiscretetimesystemswithmodeluncertaintiesandexternalnoises AT xuanyang pdtypeiterativelearningcontrolforaclassofswitcheddiscretetimesystemswithmodeluncertaintiesandexternalnoises |