Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov Functions
This paper presents a novel framework for robust linear quadratic regulator (LQR)-based control of pulse-width modulated (PWM) converters. The converter is modeled as a linear parameter-varying (LPV) system and the uncertainties, besides their rate of change, are taken into account. The proposed con...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-10-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/10/21/7534 |
| _version_ | 1797549719583457280 |
|---|---|
| author | Nedia Aouani Carlos Olalla |
| author_facet | Nedia Aouani Carlos Olalla |
| author_sort | Nedia Aouani |
| collection | DOAJ |
| description | This paper presents a novel framework for robust linear quadratic regulator (LQR)-based control of pulse-width modulated (PWM) converters. The converter is modeled as a linear parameter-varying (LPV) system and the uncertainties, besides their rate of change, are taken into account. The proposed control synthesis method exploits the potential of linear matrix inequalities (LMIs), assuring robust stability whilst obtaining non-conservative results. The method has been validated in a PWM DC–DC boost converter, such that it has been shown, with the aid of simulations, that improved robustness and improved performance properties can be achieved, with respect to previously proposed approaches. |
| first_indexed | 2024-03-10T15:19:25Z |
| format | Article |
| id | doaj.art-187bfa3112054e8993be7ceddb724e68 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T15:19:25Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-187bfa3112054e8993be7ceddb724e682023-11-20T18:36:08ZengMDPI AGApplied Sciences2076-34172020-10-011021753410.3390/app10217534Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov FunctionsNedia Aouani0Carlos Olalla1Research Unit of System Analysis and Control, National School Engineering of Tunis, B.P. 37, Le Belvédère, Tunis 1002, TunisiaDepartament d’Enginyeria Elèctrica, Electrònica i Automàtica, Universitat Rovira i Virgili, 43007 Tarragona, SpainThis paper presents a novel framework for robust linear quadratic regulator (LQR)-based control of pulse-width modulated (PWM) converters. The converter is modeled as a linear parameter-varying (LPV) system and the uncertainties, besides their rate of change, are taken into account. The proposed control synthesis method exploits the potential of linear matrix inequalities (LMIs), assuring robust stability whilst obtaining non-conservative results. The method has been validated in a PWM DC–DC boost converter, such that it has been shown, with the aid of simulations, that improved robustness and improved performance properties can be achieved, with respect to previously proposed approaches.https://www.mdpi.com/2076-3417/10/21/7534uncertaintyPWM convertersLQRLMIsrobustnessperformance |
| spellingShingle | Nedia Aouani Carlos Olalla Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov Functions Applied Sciences uncertainty PWM converters LQR LMIs robustness performance |
| title | Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov Functions |
| title_full | Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov Functions |
| title_fullStr | Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov Functions |
| title_full_unstemmed | Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov Functions |
| title_short | Robust LQR Control for PWM Converters with Parameter-Dependent Lyapunov Functions |
| title_sort | robust lqr control for pwm converters with parameter dependent lyapunov functions |
| topic | uncertainty PWM converters LQR LMIs robustness performance |
| url | https://www.mdpi.com/2076-3417/10/21/7534 |
| work_keys_str_mv | AT nediaaouani robustlqrcontrolforpwmconverterswithparameterdependentlyapunovfunctions AT carlosolalla robustlqrcontrolforpwmconverterswithparameterdependentlyapunovfunctions |