Full-order and Reduced-order Observer Design for One-sided Lipschitz Nonlinear Fractional Order Systems with Unknown Input

2018 ◽  
Vol 16 (5) ◽  
pp. 2146-2156 ◽  
Author(s):  
Tao Zhan ◽  
Jiaming Tian ◽  
Shuping Ma
Keyword(s):  
Fractional Order ◽  
Observer Design ◽  
Unknown Input ◽  
Fractional Order Systems ◽  
Reduced Order ◽  
Reduced Order Observer

Reduced-order observer design with unknown input for fractional order descriptor nonlinear systems

2019 ◽  
Vol 41 (13) ◽  
pp. 3705-3713 ◽  
Author(s):  
Tao Zhan ◽  
Shuping Ma
Keyword(s):  
Fractional Order ◽  
Direct Method ◽  
Sufficient Conditions ◽  
Order Reduction ◽  
Electrical Circuit ◽  
Observer Design ◽  
Unknown Input ◽  
Reduced Order ◽  
The Matrix ◽  
Reduced Order Observer

This paper investigates the observer design issues for the quadratic inner-bounded nonlinear descriptor fractional order systems. Considering the disturbances or inaccessible partial inputs, the order reduction of observer with unknown input is firstly implemented for effectively estimating the system state vectors. Then, for the purpose of the system conservatism reduction, the matrix [Formula: see text] and the matrix generalized inverse technique are applied to design the reduced-order observer, which can deal with unknown input with less restrictions of coefficient matrices. By using fractional order Lyapunov direct method, sufficient conditions can be obtained to ensure the existence of the designed observer. Finally, a fractional order electrical circuit is applied to demonstrate the applicability of the proposed approach.

Full-Order and Reduced-order Observer Design for a Class of Fractional-order Nonlinear Systems

2016 ◽  
Vol 18 (4) ◽  
pp. 1467-1477 ◽  
Author(s):  
Yong-Hong Lan ◽  
Liang-Liang Wang ◽  
Lei Ding ◽  
Yong Zhou
Keyword(s):  
Nonlinear Systems ◽  
Fractional Order ◽  
Observer Design ◽  
Reduced Order ◽  
Reduced Order Observer

Reduced-Order Observer Design for Discrete-Time Descriptor Systems With Unknown Inputs: An Linear Matrix Inequality Approach

2015 ◽  
Vol 137 (8) ◽  
Author(s):  
Shenghui Guo ◽  
Fanglai Zhu
Keyword(s):  
Linear Matrix Inequality ◽  
Discrete Time ◽  
Observer Design ◽  
Descriptor Systems ◽  
Linear Matrix ◽  
Unknown Input ◽  
Matrix Inequality ◽  
Reduced Order ◽  
Unknown Inputs ◽  
Reduced Order Observer

Reduced-order observer design methods for both linear and nonlinear discrete-time descriptor systems based on the linear matrix inequality (LMI) approach are investigated. We conclude that the conditions under which a full-order observer exists can also guarantee the existence of a reduced-order observer. By choosing a special reduced-order observer gain matrix, a reduced-order unknown input observer is proposed for linear system with unknown inputs, and then an unknown input reconstruction is provided for some special cases. We also extend above results to the cases of nonlinear systems. Finally, three numerical comparative simulation examples are given to illustrate the effectiveness and merits of proposed methods.

Synchronization of nonlinear fractional order systems by means of PIrα reduced order observer

2015 ◽  
Vol 262 ◽  
pp. 224-231 ◽  
Author(s):  
Juan C. Cruz-Victoria ◽  
Rafael Martínez-Guerra ◽  
Claudia A. Pérez-Pinacho ◽  
Gian Carlo Gómez-Cortés
Keyword(s):  
Fractional Order ◽  
Fractional Order Systems ◽  
Reduced Order ◽  
Reduced Order Observer
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