Optimal closed-loop assignment by static output feedback: a case of study

2002 ◽  
Author(s):  
G. Franze ◽  
P. Muraca ◽  
N. Salerno
Keyword(s):  
Output Feedback ◽  
Closed Loop ◽  
Static Output Feedback ◽  
Static Output

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.

An Application of QSR-Dissipativity to the Problem of Static Output Feedback Robust Stabilization of Nonlinear Systems

2020 ◽  
Author(s):  
Diego De S. Madeira ◽  
Valessa V. Viana
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Robust Stabilization ◽  
Domain Of Attraction ◽  
Control Synthesis ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Static Feedback ◽  
Static Output

In this work we deal with the asymptotic stabilization problem of polynomial (and rational) input-affine systems subject to parametric uncertainties. The problem of linear static output feedback (SOF) control synthesis is handled, having as a prerequisite a differential algebraic representation (DAR) of the plant. Using the property of strict QSR-dissipativity, theFinsler's Lemma and the notion of linear annihilators we introduce a new dissipativity-based strategy for robust stabilization which determines a static feedback gain by solving a simple linear semidenite program on a polytope. At the same time, an estimate of the closed-loop domain of attraction is given in terms of an ellipsoidal set. The novelty of the proposed approach consists in this combination of dissipativity theory and powerful semidenite programming(SDP) tools allowing for a simple solution of the challenging problem of static output feedback design for nonlinear systems. A numerical example allows the reader to verify the applicability of the proposed technique.

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