Interior point control of a heat equation using zero dynamics design

2006 ◽  
Author(s):  
C.I. Byrnes ◽  
D.S. Gilliam ◽  
A. Isidori ◽  
V.I. Shubov
Keyword(s):  
Heat Equation ◽  
Interior Point ◽  
Zero Dynamics ◽  
Point Control

scholarly journals In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Jun Zheng ◽  
Guchuan Zhu
Keyword(s):  
Heat Equation ◽  
Green’S Function ◽  
Green's Function ◽  
System Control ◽  
Planning Problem ◽  
Zero Dynamics ◽  
Reference Trajectory ◽  
Set Point ◽  
Point Control ◽  
Set Point Control

This paper addresses the set-point control problem of a one-dimensional heat equation with in-domain actuation. The proposed scheme is based on the framework of zero-dynamics inverse combined with flat system control. Moreover, the set-point control is cast into a motion planning problem of a multiple-input, multiple-output system, which is solved by a Green’s function-based reference trajectory decomposition. The validity of the proposed method is assessed through the analysis of the invertibility of the map generated by Green’s function and the convergence of the regulation error. The performance of the developed control scheme and the viability of the proposed approach are confirmed by numerical simulation of a representative system.

scholarly journals Interior point control and observation for the wave equation

1996 ◽  
Vol 1 (2) ◽  
pp. 219-236 ◽  
Author(s):  
A. Y. Khapalov
Keyword(s):  
Wave Equation ◽  
Interior Point ◽  
Space Dimension ◽  
Exact Controllability ◽  
Function Spaces ◽  
Time Interval ◽  
Concentrated Force ◽  
Advantages And Disadvantages ◽  
Point Control ◽  
The Moment

This paper is concerned with the approximate and exact controllability properties of the wave equation with interior point controls entering via the concentrated force, the velocity of the displacement and the moment. The emphasis is given to the moving point controls and their dual observations whose advantages and disadvantages, versus the static ones, are analyzed with respect to the space dimension, the duration of the control time interval and the function spaces involved.

Effect of Recycle on the Plant Zero Dynamics

1997 ◽  
Vol 21 (1-2) ◽  
pp. S279-S284 ◽  
Author(s):  
E Jacobsen
Keyword(s):  
Zero Dynamics
Sign in / Sign up

Export Citation Format

Share Document