PDα-type iterative learning control for fractional-order singular time-delay system
Abstract
In this paper a closed-loop PDα - type iterative learning control (ILC) of fractional order singular time-delay system is considered. In particular, we discuss fractional order linear singular timed-delay systems in state space form. The sufficient conditions for the convergence in time domain of the proposed PD-alpha type ILC for a class of fractional order singular system are given by the corresponding theorem together with its proof. Finally, the validity of the proposed PDα ILC scheme for a class of fractional order singular time-delay system is verified by a numerical example.
Keywords:
Time-delay / Singular system / Iterative learning control / Fractional order / Convergence analysisSource:
Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017, 2017, 1905-1910Publisher:
- Institute of Electrical and Electronics Engineers Inc.
Funding / projects:
- Dynamics of hybrid systems with complex structures. Mechanics of materials. (RS-MESTD-Basic Research (BR or ON)-174001)
- Sustainability and improvement of mechanical systems in energetic, material handling and conveying by using forensic engineering, environmental and robust design (RS-MESTD-Technological Development (TD or TR)-35006)
- Development of methods and techniques for early diagnostic of cervical, colon, oral cavity cancer and melanoma based on a digital image and excitation-emission spectrum in visible and infrared domain (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
- Intelligent Control Systems of the Air-conditioning for the Purpose of Achieving Energy Efficient Exploitation Regimes in the Complex Operating Conditions (RS-MESTD-Technological Development (TD or TR)-33047)
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo AU - Durović, N. AU - Cvetković, Boško AU - Mandić, Petar AU - Cajić, Milan PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2691 AB - In this paper a closed-loop PDα - type iterative learning control (ILC) of fractional order singular time-delay system is considered. In particular, we discuss fractional order linear singular timed-delay systems in state space form. The sufficient conditions for the convergence in time domain of the proposed PD-alpha type ILC for a class of fractional order singular system are given by the corresponding theorem together with its proof. Finally, the validity of the proposed PDα ILC scheme for a class of fractional order singular time-delay system is verified by a numerical example. PB - Institute of Electrical and Electronics Engineers Inc. C3 - Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017 T1 - PDα-type iterative learning control for fractional-order singular time-delay system EP - 1910 SP - 1905 DO - 10.1109/CCDC.2017.7978828 ER -
@conference{ author = "Lazarević, Mihailo and Durović, N. and Cvetković, Boško and Mandić, Petar and Cajić, Milan", year = "2017", abstract = "In this paper a closed-loop PDα - type iterative learning control (ILC) of fractional order singular time-delay system is considered. In particular, we discuss fractional order linear singular timed-delay systems in state space form. The sufficient conditions for the convergence in time domain of the proposed PD-alpha type ILC for a class of fractional order singular system are given by the corresponding theorem together with its proof. Finally, the validity of the proposed PDα ILC scheme for a class of fractional order singular time-delay system is verified by a numerical example.", publisher = "Institute of Electrical and Electronics Engineers Inc.", journal = "Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017", title = "PDα-type iterative learning control for fractional-order singular time-delay system", pages = "1910-1905", doi = "10.1109/CCDC.2017.7978828" }
Lazarević, M., Durović, N., Cvetković, B., Mandić, P.,& Cajić, M.. (2017). PDα-type iterative learning control for fractional-order singular time-delay system. in Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017 Institute of Electrical and Electronics Engineers Inc.., 1905-1910. https://doi.org/10.1109/CCDC.2017.7978828
Lazarević M, Durović N, Cvetković B, Mandić P, Cajić M. PDα-type iterative learning control for fractional-order singular time-delay system. in Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017. 2017;:1905-1910. doi:10.1109/CCDC.2017.7978828 .
Lazarević, Mihailo, Durović, N., Cvetković, Boško, Mandić, Petar, Cajić, Milan, "PDα-type iterative learning control for fractional-order singular time-delay system" in Proceedings of the 29th Chinese Control and Decision Conference, CCDC 2017 (2017):1905-1910, https://doi.org/10.1109/CCDC.2017.7978828 . .