scholarly journals Robust controllability and robust closed-loop stability with static output feedback for a class of uncertain descriptor systems

1999 ◽  
Vol 297 (1-3) ◽  
pp. 133-155 ◽  
Author(s):  
Chong Lin ◽  
Jian Liang Wang ◽  
Guang-Hong Yang ◽  
C.B. Soh
Keyword(s):  
Output Feedback ◽  
Closed Loop ◽  
Descriptor Systems ◽  
Static Output Feedback ◽  
Robust Controllability ◽  
Static Output ◽  
Loop Stability

scholarly journals Finite spectrum assignment in linear systems with several lumped and distributed delays by means of static output feedback

2020 ◽  
Vol 30 (3) ◽  
pp. 367-384
Author(s):  
I.G. Kim
Keyword(s):  
Output Feedback ◽  
Assignment Problem ◽  
Closed Loop ◽  
Loop System ◽  
Distributed Delays ◽  
Static Output Feedback ◽  
Closed Loop System ◽  
Finite Spectrum ◽  
Spectrum Assignment ◽  
Static Output

We consider a control system defined by a linear time-invariant system of differential equations with lumped and distributed delays in the state variable. We construct a controller for the system as linear static output feedback with lumped and distributed delays in the same nodes. We study a finite spectrum assignment problem for the closed-loop system. One needs to construct gain coefficients such that the characteristic function of the closed-loop system becomes a polynomial with arbitrary preassigned coefficients. We obtain conditions on coefficients of the system under which the criterion was found for solvability of the finite spectrum assignment problem. Corollaries on stabilization by linear static output feedback with several delays are obtained for the closed-loop system.

scholarly journals Robust Admissibilization of Descriptor Systems by Static Output-Feedback: An LMI Approach

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
M. Chaabane ◽  
F. Tadeo ◽  
D. Mehdi ◽  
M. Souissi
Keyword(s):  
Output Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Descriptor Systems ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Initial Value ◽  
Feedback Controllers ◽  
Classical State ◽  
Static Output

The problem of the stabilization of descriptor systems in continuous-time via static output-feedback is studied in this paper and an approach to solve it is proposed. For this, sufficient conditions are derived for the closed-loop system to be admissible (i.e., stable, regular, and impulse-free). These conditions are expressed in terms of a strict Linear Matrix Inequality (LMI); so they are tractable using numerical computations. The proposed controller design methodology is based on two steps: the first is dedicated to synthesizing a classical state-feedback controller, which is used as the initial value for the second step, which uses an LMI problem to obtain static output-feedback controllers that give admissibility. Finally, a numerical example is given to illustrate the results.

Sign in / Sign up

Export Citation Format

Share Document