Iterative learning control with pulse compensation for fractional differential systems
-
Shengda Liu
,
JinRong Wang
Abstract
In this paper, we explore PD-type ILC schemes of fractional version with pulse compensation for single-input-single-output fractional differential systems. More precisely, we design a new type of pulse-based ILC schemes involving fractional derivative and sign function for a class of fractional order linear systems with initial state shift. In order to tracking discrepancy incurred by the initial state shift effectively, a new function of pulse compensation is introduced. The effectiveness of the result is illustrated by numerical simulations.
The first and second authors acknowledge the support by NNSF of China (11661016), Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), and Foundation of Postgraduate of Guizhou Province (KYJJ2017001); the third author acknowledges the support by NNSF of China (11671339); the fourth author acknowledges the support by the Slovak Grant Agency VEGA No. 2/0153/16 and No. 1/0078/17, and by the Slovak Research and Development Agency under the contract No. APVV-14-0378.
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© 2018 Mathematical Institute Slovak Academy of Sciences
Artikel in diesem Heft
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Artikel in diesem Heft
- Small-large subgroups of the reals
- Structural properties of algebras of S-probabilities
- Approximation in quantum measure spaces
- On Fibonomial sums identities with special sign functions: analytically q-calculus approach
- On the proximity of multiplicative functions to the number of distinct prime factors function
- Truncated euler polynomials
- Growth series of crossed and two-sided crossed products of cyclic groups
- Weakly U-abundant semigroups with strong Ehresmann transversals
- Iterative learning control with pulse compensation for fractional differential systems
- Rectifiable and nonrectifiable solution curves of half-linear differential systems
- Uniqueness properties of meromorphic functions in the light of three shared sets
- A new family of analytic functions defined by means of Rodrigues type formula
- Perturbation analysis of a nonlinear equation arising in the Schaefer-Schwartz model of interest rates
- On the solutions of a second-order difference equation in terms of generalized Padovan sequences
- Fixed points in C∗-algebra valued b-metric spaces endowed with a graph
- A general fixed point theorem for two pairs of mappings satisfying a mixed implicit relation
- Productively sequential spaces
- Euler classes of vector bundles over iterated suspensions of real projective spaces
- The stationary distribution and ergodicity of a stochastic mutualism model
- Restricted injective dimensions over local homomorphisms
