Fuzzy-Affine-Model Based Sampled-Data Filtering Design for Stochastic Nonlinear Systems

2020 ◽  
pp. 1-1
Author(s):  
Qiu Jianbin ◽  
W. Ji ◽  
Hak-Keung Lam ◽  
Meng Wang
Keyword(s):  
Nonlinear Systems ◽  
Stochastic Nonlinear Systems ◽  
Sampled Data ◽  
Data Filtering ◽  
Model Based ◽  
Affine Model

Global sampled-data output feedback stabilization for a class of switched stochastic nonlinear systems with quantized input and unknown output gain

2019 ◽  
Vol 41 (16) ◽  
pp. 4511-4520
Author(s):  
Yan Jiang ◽  
Junyong Zhai
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Sampling Period ◽  
Feedback Stabilization ◽  
Design Parameters ◽  
Stochastic Nonlinear Systems ◽  
Control Input ◽  
Sampled Data ◽  
Data Output

This paper aims at addressing the sampled-data output feedback control problem for a class of uncertain switched stochastic nonlinear systems, whose control input is quantized by a logarithmic quantizer and the output gain cannot be precisely known. We design a compensator with the quantized information. With the help of the feedback domination approach and the backstepping design method, a sampled-data output feedback controller is constructed with appropriate design parameters and a maximum sampling period to guarantee the global exponential stability in mean square of the closed-loop system under arbitrary switching. Finally, a numerical example is given to illustrate the effectiveness of the proposed scheme.

Nonlinear Systems Approximation Using a Piecewise Affine Model Based on a Radial Basis Functions Network

2006 ◽  
Vol 39 (10) ◽  
pp. 1078-1084 ◽  
Author(s):  
Masaru Sakamoto ◽  
Duo Dong ◽  
Takashi Hamaguchi ◽  
Yutaka Ota ◽  
Toshiaki Itoh ◽  
...  
Keyword(s):  
Nonlinear Systems ◽  
Radial Basis Functions ◽  
Basis Functions ◽  
Piecewise Affine ◽  
Model Based ◽  
Affine Model ◽  
Radial Basis

scholarly journals Schwartz' distributions in nonlinear setting: Applications to differential equations, filtering and optimal control

2002 ◽  
Vol 8 (4-5) ◽  
pp. 367-387 ◽  
Author(s):  
Y. Orlov
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Differential Equations ◽  
Dynamic Systems ◽  
Generalized Solutions ◽  
Sampled Data ◽  
Data Filtering ◽  
Schwartz Distributions ◽  
Deterministic Dynamic ◽  
Feedback Synthesis

The paper is intended to be of tutorial value for Schwartz' distributions theory in nonlinear setting. Mathematical models are presented for nonlinear systems which admit both standard and impulsive inputs. These models are governed by differential equations in distributions whose meaning is generalized to involve nonlinear, non single-valued operating over distributions. The set of generalized solutions of these differential equations is defined via closure, in a certain topology, of the set of the conventional solutions corresponding to standard integrable inputs. The theory is exemplified by mechanical systems with impulsive phenomena, optimal impulsive feedback synthesis, sampled-data filtering of stochastic and deterministic dynamic systems.

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