Reduced-order observer design for nonlinear systems with unknown inputs

2011 ◽  
Author(s):  
Zhengtao Ding
Keyword(s):  
Nonlinear Systems ◽  
Observer Design ◽  
Reduced Order ◽  
Unknown Inputs ◽  
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

Reduced-Order Observer Design for Switched Descriptor Systems With Unknown Inputs

2020 ◽  
Vol 65 (1) ◽  
pp. 287-294 ◽  
Author(s):  
Jiancheng Zhang ◽  
Xudong Zhao ◽  
Fanglai Zhu ◽  
Hamid Reza Karimi
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Reduced Order ◽  
Unknown Inputs ◽  
Reduced Order Observer

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

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 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.

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