Non-fragile observer design for fractional-order one-sided Lipschitz nonlinear systems

Authors:
Yong-Hong Lan;Wen-Jie Li;Yan Zhou;Yi-Ping Luo
Affiliations:
School of Information Engineering, Xiangtan University, Xiangtan, China 411105 and Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, ...;School of Information Engineering, Xiangtan University, Xiangtan, China 411105;School of Information Engineering, Xiangtan University, Xiangtan, China 411105;Institute of Intelligent Control, Hunan Institute of Engineering, Xiangtan, China 411104
Venue:
International Journal of Automation and Computing
Year:
2013

Citing 8
Cited 0

Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems

Automatica (Journal of IFAC)
Analytical impulse response of a fractional second order filter and its impulse response invariant discretization

Signal Processing
Studies on fractional order differentiators and integrators: A survey

Signal Processing
A Lyapunov approach to the stability of fractional differential equations

Signal Processing
Non-fragile nonlinear fractional order observer design for a class of nonlinear fractional order systems

Signal Processing
Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach

Mathematical and Computer Modelling: An International Journal
Unknown inputs observer for a class of nonlinear uncertain systems: An LMI approach

International Journal of Automation and Computing
Exponential nonlinear observer based on the differential state-dependent Riccati equation

International Journal of Automation and Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper is concerned with the problem of the full-order observer design for a class of fractional-order Lipschitz nonlinear systems. By introducing a continuous frequency distributed equivalent model and using an indirect Lyapunov approach, the sufficient condition for asymptotic stability of the full-order observer error dynamic system is presented. The stability condition is obtained in terms of LMI, which is less conservative than the existing one. A numerical example demonstrates the validity of this approach.