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

scholarly journals Invariant Manifold Based Reduced-Order Observer Design for Nonlinear Systems

2008 ◽  
Vol 53 (11) ◽  
pp. 2602-2614 ◽  
Author(s):  
Dimitrios Karagiannis ◽  
Daniele Carnevale ◽  
Alessandro Astolfi
Keyword(s):  
Nonlinear Systems ◽  
Invariant Manifold ◽  
Observer Design ◽  
Reduced Order ◽  
Reduced Order Observer

Full-Order and Reduced-Order Exponential Observers for Discrete-Time Nonlinear Systems With Incremental Quadratic Constraints

2018 ◽  
Vol 141 (4) ◽  
Author(s):  
Wei Zhang ◽  
Younan Zhao ◽  
Masoud Abbaszadeh ◽  
Mingming Ji
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Exponential Convergence ◽  
Estimation Error ◽  
Observer Design ◽  
Linear Matrix ◽  
Discrete Time System ◽  
Quadratic Constraints ◽  
Reduced Order ◽  
Reduced Order Observer

This paper considers the observer design problem for a class of discrete-time system whose nonlinear time-varying terms satisfy incremental quadratic constraints. We first construct a circle criterion based full-order observer by injecting output estimation error into the observer nonlinear terms. We also construct a reduced-order observer to estimate the unmeasured system state. The proposed observers guarantee exponential convergence of the state estimation error to zero. The design of the proposed observers is reduced to solving a set of linear matrix inequalities. It is proved that the conditions under which a full-order observer exists also guarantee the existence of a reduced-order observer. Compared to some previous results in the literature, this work considers a larger class of nonlinearities and unifies some related observer designs for discrete-time nonlinear systems. Finally, a numerical example is included to illustrate the effectiveness of the proposed design.

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.

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