Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type
Abstract
The paper presents a new algorithm for iterative learning control (ILC). For nonlinear fractional order system, it will be shown that using fractional-order (non-integer) derivative and tracking error, one can obtain a PDalpha-type ILC. Sufficient conditions for the convergence of a proposed type of learning control algorithm for a class of fractional state space nonlinear system are presented.
Keywords:
iterative learning control / nonlinear system / fractional calculus / convergence analysisSource:
Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010, 2010, 1-5Publisher:
- Slovakia: Technical University of Kosice
- Spain: University of Extremadura
Funding / projects:
- Fini disperzni sistemi: mikro-, nano-, ato-inženjerstvo (RS-MESTD-MPN2006-2010-142034)
- Razvoj bioloških motivisanih kontrolnih i senzorskih sistema i izrada studijskog prototipa nožnog pomagala (RS-MESTD-MPN2006-2010-20152)
Collections
Institution/Community
Mašinski fakultetTY - CONF AU - Lazarević, Mihailo PY - 2010 UR - https://machinery.mas.bg.ac.rs/handle/123456789/4830 AB - The paper presents a new algorithm for iterative learning control (ILC). For nonlinear fractional order system, it will be shown that using fractional-order (non-integer) derivative and tracking error, one can obtain a PDalpha-type ILC. Sufficient conditions for the convergence of a proposed type of learning control algorithm for a class of fractional state space nonlinear system are presented. PB - Slovakia: Technical University of Kosice PB - Spain: University of Extremadura C3 - Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010 T1 - Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type EP - 5 SP - 1 UR - https://hdl.handle.net/21.15107/rcub_machinery_4830 ER -
@conference{ author = "Lazarević, Mihailo", year = "2010", abstract = "The paper presents a new algorithm for iterative learning control (ILC). For nonlinear fractional order system, it will be shown that using fractional-order (non-integer) derivative and tracking error, one can obtain a PDalpha-type ILC. Sufficient conditions for the convergence of a proposed type of learning control algorithm for a class of fractional state space nonlinear system are presented.", publisher = "Slovakia: Technical University of Kosice, Spain: University of Extremadura", journal = "Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010", title = "Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type", pages = "5-1", url = "https://hdl.handle.net/21.15107/rcub_machinery_4830" }
Lazarević, M.. (2010). Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type. in Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010 Slovakia: Technical University of Kosice., 1-5. https://hdl.handle.net/21.15107/rcub_machinery_4830
Lazarević M. Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type. in Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010. 2010;:1-5. https://hdl.handle.net/21.15107/rcub_machinery_4830 .
Lazarević, Mihailo, "Iterative Learning Feedback Control for Nonlinear Fractional Order System-PDalpha Type" in Proceedings of FDA’10 The 4th IFAC Workshop Fractional Differentiation and Its Applications Badajoz, Spain, October 18-20, 2010 (2010):1-5, https://hdl.handle.net/21.15107/rcub_machinery_4830 .