Extended Luenberger Observer for Nonuniformly Observable Nonlinear Systems

2005 ◽  
pp. 19-34 ◽  
Author(s):  
Klaus Röbenack
Keyword(s):  
Nonlinear Systems ◽  
Luenberger Observer

Robust Disturbance Rejection for a Class of Nonlinear Systems Using Disturbance Observers

2013 ◽  
Author(s):  
Ahmed H. El-Shaer ◽  
Abdulrahman H. Bajodah
Keyword(s):  
Nonlinear Systems ◽  
Disturbance Rejection ◽  
Disturbance Observer ◽  
Closed Loop ◽  
Inverted Pendulum ◽  
Single Input Single Output ◽  
Luenberger Observer ◽  
Single Output ◽  
Single Input ◽  
Bounded Disturbance

This paper is concerned with disturbance rejection performance in single-input single-output (SISO) nonlinear systems that are described by uncertain linear dynamics and bounded nonlinearities. First, the nonlinear terms are transformed into an equivalent bounded disturbance at the output of a linear system. Then, a disturbance observer (DOB) is added to the closed loop to achieve robust disturbance rejection. The DOB design is formulated as an extended Luenberger observer having internal dynamics with at least an eigenvalue at the origin. The synthesis of a (sub)optimal DOB is carried out by solving multi-objective H∞ sensitivity optimization. The design approach is applied to an inverted pendulum with actuator backlash. Closed loop response shows that tracking performance is indeed greatly enhanced with the DOB.

Identification of Continuous-time Nonlinear Systems via Local Gaussian Process Models

2014 ◽  
Vol 134 (11) ◽  
pp. 1708-1715
Author(s):  
Tomohiro Hachino ◽  
Kazuhiro Matsushita ◽  
Hitoshi Takata ◽  
Seiji Fukushima ◽  
Yasutaka Igarashi
Keyword(s):  
Nonlinear Systems ◽  
Gaussian Process ◽  
Continuous Time ◽  
Process Models ◽  
Gaussian Process Models

Modeling of Nonlinear Systems using Genetic Algorithm

2012 ◽  
Vol 132 (6) ◽  
pp. 913-918 ◽  
Author(s):  
Kayoko Hayashi ◽  
Toru Yamamoto ◽  
Kazuo Kawada
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Systems
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