Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of Nonlinearity
The stability of a controlled network temperature control system (heat exchanger system) is examined in this study paper. A heat exchanger system keeps the end temperature of a liquid within defined parameters. The study proposes a linearized model of a temperature control system based on a delay-de...
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2022/4486756 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849413164488196096 |
|---|---|
| author | Dagne Asefa Gemechu K. Prabakaran Lalithamani N S. Nagarajan S. Umamaheswaran Umamageshwari. S Meseret Leta Feyisa |
| author_facet | Dagne Asefa Gemechu K. Prabakaran Lalithamani N S. Nagarajan S. Umamaheswaran Umamageshwari. S Meseret Leta Feyisa |
| author_sort | Dagne Asefa Gemechu |
| collection | DOAJ |
| description | The stability of a controlled network temperature control system (heat exchanger system) is examined in this study paper. A heat exchanger system keeps the end temperature of a liquid within defined parameters. The study proposes a linearized model of a temperature control system based on a delay-dependent state equation to accomplish this job. For a temperature management system in a network having time-varying delays, the LK functional (Lyapunov–Krasovskii) method is coupled with the reciprocal convex lemma. To get less conservative stability requirements, a new LK functional was assumed in the stability analysis, and the time-dependent of the (LK) functional was taken via the reciprocal convex combination approach. Finally, under the LMI (linear matrix inequalities) paradigm, the suggested stability analysis leads to a stability criterion. The suggested results establish a new stability criterion for a more accurate operating form for a present temperature control system based on a theoretically obtained temperature management system. |
| format | Article |
| id | doaj-art-5c977bcf26f84932adc0e37037752da7 |
| institution | Kabale University |
| issn | 1687-8442 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-5c977bcf26f84932adc0e37037752da72025-08-20T03:34:13ZengWileyAdvances in Materials Science and Engineering1687-84422022-01-01202210.1155/2022/4486756Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of NonlinearityDagne Asefa Gemechu0K. Prabakaran1Lalithamani N2S. Nagarajan3S. Umamaheswaran4Umamageshwari. S5Meseret Leta Feyisa6Department of Mechanical EngineeringDepartment of MathematicsDepartment of MathematicsDepartment of Mechanical EngineeringDepartment of Computer Science EngineeringDepartment of MathematicsDepartment of Food Process EngineeringThe stability of a controlled network temperature control system (heat exchanger system) is examined in this study paper. A heat exchanger system keeps the end temperature of a liquid within defined parameters. The study proposes a linearized model of a temperature control system based on a delay-dependent state equation to accomplish this job. For a temperature management system in a network having time-varying delays, the LK functional (Lyapunov–Krasovskii) method is coupled with the reciprocal convex lemma. To get less conservative stability requirements, a new LK functional was assumed in the stability analysis, and the time-dependent of the (LK) functional was taken via the reciprocal convex combination approach. Finally, under the LMI (linear matrix inequalities) paradigm, the suggested stability analysis leads to a stability criterion. The suggested results establish a new stability criterion for a more accurate operating form for a present temperature control system based on a theoretically obtained temperature management system.http://dx.doi.org/10.1155/2022/4486756 |
| spellingShingle | Dagne Asefa Gemechu K. Prabakaran Lalithamani N S. Nagarajan S. Umamaheswaran Umamageshwari. S Meseret Leta Feyisa Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of Nonlinearity Advances in Materials Science and Engineering |
| title | Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of Nonlinearity |
| title_full | Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of Nonlinearity |
| title_fullStr | Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of Nonlinearity |
| title_full_unstemmed | Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of Nonlinearity |
| title_short | Stability Results of Thermal Control System with Time-Dependent Delays and Perturbations of Nonlinearity |
| title_sort | stability results of thermal control system with time dependent delays and perturbations of nonlinearity |
| url | http://dx.doi.org/10.1155/2022/4486756 |
| work_keys_str_mv | AT dagneasefagemechu stabilityresultsofthermalcontrolsystemwithtimedependentdelaysandperturbationsofnonlinearity AT kprabakaran stabilityresultsofthermalcontrolsystemwithtimedependentdelaysandperturbationsofnonlinearity AT lalithamanin stabilityresultsofthermalcontrolsystemwithtimedependentdelaysandperturbationsofnonlinearity AT snagarajan stabilityresultsofthermalcontrolsystemwithtimedependentdelaysandperturbationsofnonlinearity AT sumamaheswaran stabilityresultsofthermalcontrolsystemwithtimedependentdelaysandperturbationsofnonlinearity AT umamageshwaris stabilityresultsofthermalcontrolsystemwithtimedependentdelaysandperturbationsofnonlinearity AT meseretletafeyisa stabilityresultsofthermalcontrolsystemwithtimedependentdelaysandperturbationsofnonlinearity |