Polynomial observer design for time-delay polynomial fuzzy system by sum of squares approach

2017 ◽  
Author(s):  
Jiafeng Yu ◽  
Qinsheng Li ◽  
Jian Wang ◽  
Chunsong Han
Keyword(s):  
Time Delay ◽  
Fuzzy System ◽  
Sum Of Squares ◽  
Observer Design

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 Observer design for time-delay TS fuzzy systems with nonlinear consequents

2021 ◽  
Vol 54 (4) ◽  
pp. 62-67
Author(s):  
Amália Mátyás ◽  
Zsófia Lendek
Keyword(s):  
Time Delay ◽  
Fuzzy Systems ◽  
Observer Design
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