PDα-type iterative learning control with initial state learning for fractional-order systems
نویسندگان
چکیده
منابع مشابه
On the PDα−Type Iterative Learning Control for the Fractional-Order Nonlinear Systems
In this paper, we discuss in time domain the convergence of the iterative process for fractional-order nonlinear systems. The PDα−type iterative learning updating laws are considered. Most of the classical fractional-order cases for linear or nonlinear systems fall into the scheme of this paper. A number of numerical simulations are illustrated to validate the concepts.
متن کاملFractional-Order Iterative Learning Control for Fractional-Order Linear Systems
In this paper, we discuss in time domain the convergence of the iterative process for fractional-order systems. Fractional order iterative learning updating schemes are considered. The convergent conditions of the fractional-order and integer-order iterative learning schemes are proved to be equivalent. It is shown in Matlab/Simulink results that the tracking speed is the fastest when the syste...
متن کاملRectified fractional order iterative learning control for linear system with initial state shift
*Correspondence: [email protected] Department of Applied Mathematics, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, P.R. China Abstract In this paper, a new rectifying action is combined into different proportional-α-order-derivative-type iterative learning control algorithms for a class of fractional order linear time-invariant systems. Unlike the existing fractional...
متن کاملFractional order nonlinear systems with delay in iterative learning control
Keywords: Fractional order with delay Generalized Gronwall inequality Iterative learning control a b s t r a c t In this paper, we discuss a P-type iterative learning control (ILC) scheme for a class of fractional order nonlinear systems with delay. By introducing the k-norm and using Gronwall inequality, the sufficient condition for the robust convergence of the tracking errors is obtained. Ba...
متن کاملThe convergence analysis of P-type iterative learning control with initial state error for some fractional system
In this paper, the convergence of iterative learning control with initial state error for some fractional equation is studied. According to the Laplace transform and the M-L function, the concept of mild solutions is showed. The sufficient conditions of convergence for the open and closed P-type iterative learning control are obtained. Some examples are given to illustrate our main results.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University
سال: 2021
ISSN: 1000-2758,2609-7125
DOI: 10.1051/jnwpu/20213920400