Modeling, Inverse Problems and Feedback Control for Distributed Dynamical Systems

2000 ◽  
Author(s):  
H. T. Banks
Keyword(s):  
Dynamical Systems ◽  
Feedback Control ◽  
Inverse Problems

scholarly journals Some Problems of Feedback Control Strategies and It’s Treatment

2017 ◽  
Vol 9 (1) ◽  
pp. 39 ◽  
Author(s):  
Maysoon M. Aziz ◽  
Saad Fawzi AL-Azzawi
Keyword(s):  
Dynamical Systems ◽  
Feedback Control ◽  
Numerical Simulations ◽  
Positive Feedback ◽  
Control Strategies ◽  
Novel Approach

This paper extends and improves the feedback control strategies. In detailed, the ordinary feedback, dislocated feedback, speed feedback and enhancing feedback control for a several dynamical systems are discussed here. It is noticed that there some problems by these strategies. For this reason, this Letter proposes a novel approach for treating these problems. The results obtained in this paper show that the strategies with positive feedback coefficients can be controlled in two cases and failed in another two cases. Theoretical and numerical simulations are given to illustrate and verify the results.

scholarly journals ON CONTROLLING A CHAOTIC SYSTEM

1991 ◽  
Vol 05 (22) ◽  
pp. 1489-1497 ◽  
Author(s):  
HAIM H. BAU
Keyword(s):  
Dynamical Systems ◽  
Feedback Control ◽  
Boundary Conditions ◽  
Chaotic Attractor ◽  
Bifurcation Structure ◽  
Small Perturbations ◽  
Chaotic Flow ◽  
Active Feedback ◽  
Active Feedback Control ◽  
At Will

The use of active (feedback) control to alter the bifurcation structure of dynamical systems is discussed and illustrated with an example. It is shown that with the use of a feedback controller effecting small perturbations in the boundary conditions, one can stabilize some of the otherwise non-stable orbits embedded in the chaotic attractor. The controller also can be used to destabilize stable flows or, in other words, to induce chaos in otherwise laminar (fully predictable), non-chaotic flow. Finally, the controller can be used to switch at will from one flow pattern to another.

Pointwise Optimal Control of Dynamical Systems Described by Constrained Coordinates

1999 ◽  
Vol 121 (4) ◽  
pp. 594-598 ◽  
Author(s):  
V. Radisavljevic ◽  
H. Baruh
Keyword(s):  
Optimal Control ◽  
Dynamical Systems ◽  
Feedback Control ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Differential Algebraic Equations ◽  
Control Law ◽  
Algebraic Equations ◽  
The Stability ◽  
The Mathematical Model

A feedback control law is developed for dynamical systems described by constrained generalized coordinates. For certain complex dynamical systems, it is more desirable to develop the mathematical model using more general coordinates then degrees of freedom which leads to differential-algebraic equations of motion. Research in the last few decades has led to several advances in the treatment and in obtaining the solution of differential-algebraic equations. We take advantage of these advances and introduce the differential-algebraic equations and dependent generalized coordinate formulation to control. A tracking feedback control law is designed based on a pointwise-optimal formulation. The stability of pointwise optimal control law is examined.

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