On Stability Equivalence between Dynamic Output Feedback and Static Output Feedback for a Class of Second Order Infinite-Dimensional Systems

2015 ◽  
Vol 53 (4) ◽  
pp. 1934-1955 ◽  
Author(s):  
Hongyinping Feng ◽  
Bao-Zhu Guo
Keyword(s):  
Output Feedback ◽  
Second Order ◽  
Dynamic Output Feedback ◽  
Static Output Feedback ◽  
Infinite Dimensional ◽  
Infinite Dimensional Systems ◽  
Dynamic Output ◽  
Static Output

An Approach to Partial Quadratic Eigenvalue Assignment of Damped Vibration Systems Using Static Output Feedback

2018 ◽  
Vol 18 (01) ◽  
pp. 1850012 ◽  
Author(s):  
Jiafan Zhang ◽  
Yongxin Yuan ◽  
Hao Liu
Keyword(s):  
Output Feedback ◽  
Second Order ◽  
Order System ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Homogeneous Matrix ◽  
Quadratic Eigenvalue ◽  
Static Output ◽  
Damped Vibration Systems ◽  
Eigenvalue Assignment

This paper addresses the problem of the partial eigenvalue assignment for second-order damped vibration systems by static output feedback. The presented method uses the combined acceleration, velocity and displacement output feedback and works directly on second-order system models without the knowledge of the unassigned eigenpairs. It allows the input and output matrices to be prescribed beforehand in a simple form. The real-valued spectral decomposition of the symmetric quadratic pencil is adopted to derive a homogeneous matrix equation of output feedback gain matrices that assure the no spillover eigenvalue assignment. The method is validated by some illustrative numerical examples.

scholarly journals New perspectives on output feedback stabilization at an unobservable target

2021 ◽  
Author(s):  
Lucas Brivadis ◽  
Jean-Paul Gauthier ◽  
Ludovic Sacchelli ◽  
Ulysse Serres
Keyword(s):  
Output Feedback ◽  
Ad Hoc ◽  
Feedback Stabilization ◽  
Target Point ◽  
Dynamic Output Feedback ◽  
Infinite Dimensional ◽  
Output Feedback Stabilization ◽  
Dynamic Output ◽  
New Strategy ◽  
Nonlinear Observation

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less observable as it approaches the target. We illustrate two main ideas: well chosen perturbations of a state feedback law can yield new observability properties of the closed-loop system, and embedding systems into bilinear systems admitting observers with dissipative error systems allows to mitigate the observability issues. We apply them on a case of systems with linear dynamics and nonlinear observation map and make use of an ad hoc finite-dimensional embedding. More generally, we introduce a new strategy based on infinite-dimensional unitary embeddings. To do so, we extend the usual definition of dynamic output feedback stabilization in order to allow infinite-dimensional observers fed by the output. We show how this technique, based on representation theory, may be applied to achieve output feedback stabilization at an unobservable target.

Sign in / Sign up

Export Citation Format

Share Document