Implementation of distributed parameter state observers

2005 ◽  
pp. 310-324 ◽  
Author(s):  
M. Köhne
Keyword(s):  
Distributed Parameter ◽  
State Observers

Nonlinear State Estimation and Feedback Control of Nonlinear and Bilinear Distributed Parameter Systems

1981 ◽  
Vol 103 (2) ◽  
pp. 78-83 ◽  
Author(s):  
M. J. Balas
Keyword(s):  
Feedback Control ◽  
Distributed Parameter Systems ◽  
Linear Feedback ◽  
Distributed Parameter ◽  
Successful Operation ◽  
Infinite Dimensional ◽  
State Observers ◽  
Convergence Results ◽  
On Line ◽  
Nonlinear State

This paper presents a theory of nonlinear state observers for nonlinear and bilinear distributed parameter systems. Convergence results are proved for these observers. Linear feedback control derived from such state observers is applied to the distributed parameter system and conditions are presented for closed-loop stability. The emphasis is on finite dimensional state observers and controllers (which can be implemented with on-line computers) and conditions for their successful operation with infinite dimensional distributed parameter systems.

State and parameter estimation for adsorption columns by nonlinear distributed parameter state observers

1994 ◽  
Vol 4 (3) ◽  
pp. 163-172 ◽  
Author(s):  
Michael Mangold ◽  
Götz Lauschke ◽  
Johanna Schaffner ◽  
Michael Zeitz ◽  
Ernst-Dieter Gilles
Keyword(s):  
Parameter Estimation ◽  
Distributed Parameter ◽  
State Observers

scholarly journals A Concise Review of State Estimation Techniques for Partial Differential Equation Systems

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3180
Author(s):  
Ivan Francisco Yupanqui Yupanqui Tello ◽  
Alain Vande Vande Wouwer ◽  
Daniel Coutinho
Keyword(s):  
Differential Equation ◽  
State Estimation ◽  
Point Of View ◽  
Distributed Parameter ◽  
Theoretical Point ◽  
Partial Differential ◽  
Estimation Techniques ◽  
Ode Models ◽  
State Observers ◽  
Pde Systems

While state estimation techniques are routinely applied to systems represented by ordinary differential equation (ODE) models, it remains a challenging task to design an observer for a distributed parameter system described by partial differential equations (PDEs). Indeed, PDE systems present a number of unique challenges related to the space-time dependence of the states, and well-established methods for ODE systems do not translate directly. However, the steady progresses in computational power allows executing increasingly sophisticated algorithms, and the field of state estimation for PDE systems has received revived interest in the last decades, also from a theoretical point of view. This paper provides a concise overview of some of the available methods for the design of state observers, or software sensors, for linear and semilinear PDE systems based on both early and late lumping approaches.

Singular distributed parameter systems

1993 ◽  
Vol 140 (5) ◽  
pp. 305 ◽  
Author(s):  
Z. Trzaska ◽  
W. Marszalek
Keyword(s):  
Distributed Parameter Systems ◽  
Distributed Parameter

Distributed Parameter Consideration and Analysis on Unsymmetrical 3-Winding Transformer

1989 ◽  
Vol 109 (12) ◽  
pp. 885-891
Author(s):  
Norio Nishizuka ◽  
Mikio Nakatsuyama ◽  
Kunikatsu Kobayashi ◽  
Hiroshi Nagahashi
Keyword(s):  
Distributed Parameter
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