Robust stability bounds for a class of nonlinear feedback systems with output quantization

1990 ◽  
Author(s):  
F.E. Thau
Keyword(s):  
Robust Stability ◽  
Nonlinear Feedback ◽  
Feedback Systems ◽  
Nonlinear Feedback Systems

Robust Stability of Nonlinear Feedback Systems With Parameter Deviations and Perturbed Nonlinearities

1997 ◽  
Vol 119 (1) ◽  
pp. 133-135
Author(s):  
Hayao Miyagi ◽  
Kimiko Kawahira ◽  
Norio Miyagi
Keyword(s):  
Robust Stability ◽  
Direct Method ◽  
Nonlinear Feedback ◽  
Feedback Systems ◽  
Individual Parameter ◽  
Nominal System ◽  
Additive Type ◽  
The Stability ◽  
Parameter Deviation ◽  
Nonlinear Feedback Systems

Robust stability of perturbed nonlinear feedback systems subjected to plant variations is investigated by using the direct method of Lyapunov. To establish the stability of the nominal system, the multivariable Popov criterion is utilized first. Then the stability of the system with parameter deviations and perturbed nonlinearities is studied. In this paper, an additive-type of parameter deviations are considered. The feature of the proposed method is that the tolerable range of individual parameter deviation and the conditions for the perturbed nonlinearities are simultaneously obtainable.

scholarly journals LMI representation of the shifted popov criterion for stability of nonlinear feedback systems

1999 ◽  
Vol 32 (2) ◽  
pp. 2452-2457
Author(s):  
Yuji Kakutani ◽  
Tomomichi Hagiwara ◽  
Mituhiko Araki
Keyword(s):  
Nonlinear Feedback ◽  
Feedback Systems ◽  
Nonlinear Feedback Systems
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