Asymptotical stabilization of fractional-order singular uncertain linear systems

2014 ◽  
Author(s):  
Yu-De Ji ◽  
Ji-Qing Qiu
Keyword(s):  
Linear Systems ◽  
Fractional Order ◽  
Uncertain Linear Systems

Robust dissipativity and dissipation of a class of fractional-order uncertain linear systems

2019 ◽  
Vol 13 (10) ◽  
pp. 1454-1465 ◽  
Author(s):  
Liping Chen ◽  
Hao Yin ◽  
Ranchao Wu ◽  
Lisheng Yin ◽  
YangQuan Chen
Keyword(s):  
Linear Systems ◽  
Fractional Order ◽  
Uncertain Linear Systems

scholarly journals Non-fragile control for a class of fractional-order uncertain linear systems with time-delay

2020 ◽  
Vol 14 (12) ◽  
pp. 1575-1589
Author(s):  
Liping Chen ◽  
Tingting Li ◽  
Ranchao Wu ◽  
YangQuan Chen ◽  
Zhaodong Liu
Keyword(s):  
Time Delay ◽  
Linear Systems ◽  
Fractional Order ◽  
Uncertain Linear Systems

CONTINUOUS-TIME FRACTIONAL ORDER LINEAR SYSTEMS IDENTIFICATION USING CHEBYSHEV WAVELET

2020 ◽  
Vol 6 (8(77)) ◽  
pp. 23-28
Author(s):  
Shuen Wang ◽  
Ying Wang ◽  
Yinggan Tang
Keyword(s):  
Linear Systems ◽  
Fractional Order ◽  
Continuous Time ◽  
Fractional Integration ◽  
Operational Matrices ◽  
Computation Complexity ◽  
Order Linear ◽  
Fractional Integration Operator ◽  
Systems Identification ◽  
Chebyshev Wavelet

In this paper, the identification of continuous-time fractional order linear systems (FOLS) is investigated. In order to identify the differentiation or- ders as well as parameters and reduce the computation complexity, a novel identification method based on Chebyshev wavelet is proposed. Firstly, the Chebyshev wavelet operational matrices for fractional integration operator is derived. Then, the FOLS is converted to an algebraic equation by using the the Chebyshev wavelet operational matrices. Finally, the parameters and differentiation orders are estimated by minimizing the error between the output of real system and that of identified systems. Experimental results show the effectiveness of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document