Observer design for discrete-time descriptor systems: An LMI approach

2012 ◽  
Vol 61 (6) ◽  
pp. 683-687 ◽  
Author(s):  
Zhenhua Wang ◽  
Yi Shen ◽  
Xiaolei Zhang ◽  
Qiang Wang
Keyword(s):  
Discrete Time ◽  
Observer Design ◽  
Descriptor Systems ◽  
Lmi Approach

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.

State observer design for a class of Takagi-Sugeno discrete-time descriptor systems

2015 ◽  
Vol 9 ◽  
pp. 5871-5885
Author(s):  
Ilham Hmaiddouch ◽  
Boutayna Bentahra ◽  
Abdellatif El Assoudi ◽  
Jalal Soulami ◽  
El Hassane El Yaagoubi
Keyword(s):  
Discrete Time ◽  
State Observer ◽  
Observer Design ◽  
Descriptor Systems ◽  
Takagi Sugeno

Observer design and a separation principle for linear discrete-time descriptor sysems

2020 ◽  
Author(s):  
Lázaro Ismael Hardy Llins ◽  
Daniel Coutinho
Keyword(s):  
Discrete Time ◽  
Estimation Error ◽  
Observer Design ◽  
Descriptor Systems ◽  
Descriptor System ◽  
Space Representation ◽  
Separation Principle ◽  
State Space Representation ◽  
State Observers ◽  
Error Dynamics

This paper addresses the design of state observers for linear discrete-time descriptor systems. Assuming that the original descriptor system is completely observable, an equivalent (standard) state-space representation of the system is proposed which preserves the system observability. Then, an LMI based approach is proposed for designing a Luenberger-like observer. In addition, a separation principle is demonstrated considering the estimation error dynamics and the closed-loop representation of the original descriptor system. Then, the observer design is extended to cope with model disturbances in an H1 sense. The eectiveness of the proposed methodology is illustrated by numerical examples.

scholarly journals An LMI approach to discrete-time observer design with stochastic resilience

2006 ◽  
Vol 188 (2) ◽  
pp. 246-255 ◽  
Author(s):  
Edwin Engin Yaz ◽  
Chung Seop Jeong ◽  
Yvonne Ilke Yaz
Keyword(s):  
Discrete Time ◽  
Observer Design ◽  
Lmi Approach
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