Existence conditions for ODE functional observer design of descriptor systems

2021 ◽  
pp. 1-1
Author(s):  
Juhi Jaiswal ◽  
Nutan Kumar Tomar
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Functional Observer ◽  
Existence Conditions

From acceleration-based semi-active vibration reduction control to functional observer design

2018 ◽  
Vol 66 (3) ◽  
pp. 234-245
Author(s):  
Yebin Wang ◽  
Kenji Utsunomiya
Keyword(s):  
Geometric Approach ◽  
Estimation Problem ◽  
Observer Design ◽  
Single Input Single Output ◽  
Nonlinear Functional ◽  
Functional Estimation ◽  
Single Output ◽  
Functional Observer ◽  
Functional Dynamics ◽  
Existence Conditions

Abstract This work investigates a functional estimation problem for single input single output linear and nonlinear systems, motivated by its enabling role in acceleration-based semi-active control. Solvability of a linear functional estimation problem is studied from a geometric approach, where the functional dynamics are derived, decomposed, and transformed to expose structural properties. This approach is extended to solve a challenging nonlinear functional observer problem, combining with the exact error linearization. Existence conditions of nonlinear functional observers are established. Simulation verifies existence conditions and demonstrates the effectiveness of the proposed functional observer designs.

Unknown input fractional-order functional observer design for one-side Lipschitz time-delay fractional-order systems

2019 ◽  
Vol 41 (15) ◽  
pp. 4311-4321 ◽  
Author(s):  
Mai Viet Thuan ◽  
Dinh Cong Huong ◽  
Nguyen Huu Sau ◽  
Quan Thai Ha
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Fractional Order ◽  
Sufficient Conditions ◽  
Quadratic Function ◽  
Observer Design ◽  
Linear Matrix ◽  
Unknown Input ◽  
Functional Observer ◽  
The One

This paper addresses the problem of unknown input fractional-order functional state observer design for a class of fractional-order time-delay nonlinear systems. The nonlinearities consist of two parts where one part is assumed to satisfy both the one-sided Lipschitz condition and the quadratically inner-bounded condition and the other is not necessary to be Lipschitz and can be regarded as an unknown input, making the wider class of considered nonlinear systems. By taking the advantages of recent results on Caputo fractional derivative of a quadratic function, we derive new sufficient conditions with the form of linear matrix inequalities (LMIs) to guarantee the asymptotic stability of the systems. Four examples are also provided to show the effectiveness and applicability of the proposed method.

scholarly journals Generalised dynamic observer design for Lipschitz non-linear descriptor systems

2019 ◽  
Vol 13 (14) ◽  
pp. 2270-2280 ◽  
Author(s):  
Gloria-L. Osorio-Gordillo ◽  
Mohamed Darouach ◽  
Carlos-M. Astorga-Zaragoza ◽  
Latifa Boutat-Baddas
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Non Linear ◽  
Dynamic Observer

Unknown input observer design for a class of Takagi-Sugeno descriptor systems

2016 ◽  
Vol 4 ◽  
pp. 477-492 ◽  
Author(s):  
Karim Bouassem ◽  
Jalal Soulami ◽  
Abdellatif El Assoudi ◽  
El Hassane El Yaagoubi
Keyword(s):  
Observer Design ◽  
Descriptor Systems ◽  
Unknown Input ◽  
Unknown Input Observer ◽  
Takagi Sugeno
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