Reduced-Order Multiple Observer Design for Takagi-Sugeno Models with Unknown Inputs

2018 ◽  
Author(s):  
Mihai Lungu ◽  
Olfa Boubaker ◽  
Romulus Lungu
Keyword(s):  
Observer Design ◽  
Reduced Order ◽  
Unknown Inputs ◽  
Multiple Observer ◽  
Takagi Sugeno

scholarly journals Design of Reduced-Order Multiple Observers for Uncertain Systems with Unknown Inputs

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Mihai Lungu
Keyword(s):  
Linear Time ◽  
Design Procedure ◽  
Lyapunov Theory ◽  
Design Algorithm ◽  
Reduced Order ◽  
Unknown Inputs ◽  
Linear Time Invariant ◽  
Reduced Order Observer ◽  
Multiple Observer ◽  
Takagi Sugeno

The paper presents the design of a new reduced-order multiple observer for the estimation of the state associated with Takagi-Sugeno systems with unknown inputs, this being only the second reduced-order multiple observer ever designed. The design of reduced-order multiple observers which can achieve the finite-time state reconstruction for nonlinear systems described by multiple models is a niche area problem; the author of this paper continuing his work started with the introduction of the reduced-order multiple observer concept. The new multiple observer is a combination of a typical reduced-order observer for linear-time invariant multivariable systems and a full-order multiple observer for Takagi-Sugeno systems. The sufficient stability conditions of the observer are derived via the Lyapunov theory and its robustness is improved by means of a novel and efficient method which cancels the negative effect of the uncertainties appearing in the system. To validate the suggested design algorithm, the steps of the design procedure have been summarized and software implemented for the concrete case of a light aircraft lateral-directional motion.

Multiple observer design for a non‐linear Takagi–Sugeno system submitted to unknown inputs and outputs

2013 ◽  
Vol 7 (8) ◽  
pp. 635-645 ◽  
Author(s):  
Nasreddine Bouguila ◽  
Wafa Jamel ◽  
Atef Khedher ◽  
Kamel Ben Othman
Keyword(s):  
Observer Design ◽  
Unknown Inputs ◽  
Non Linear ◽  
Multiple Observer ◽  
Takagi Sugeno ◽  
Inputs And Outputs

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

Fuzzy observer design for a class of Takagi-Sugeno descriptor systems subject to unknown inputs

2017 ◽  
Vol 5 ◽  
pp. 117-134
Author(s):  
Karim Bouassem ◽  
Jalal Soulami ◽  
Abdellatif El Assoudi ◽  
El Hassane El Yaagoubi
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Fuzzy Observer ◽  
Unknown Inputs ◽  
Takagi Sugeno

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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