Quasi-Polynomial Control of a Synchronous Generator
Attila Magyar,Attila Fodor +1 more
TLDR
In this paper, a simple dynamic model of a permanent magnet synchronous generator is investigated using a nonlinear technique based on the quasi-polynomial representation of the dynamical model.Abstract:
A simple dynamic model of permanent magnet synchronous generator, that is used for electrical energy generation is investigated in this work using a nonlinear technique based on the quasi-polynomial representation of the dynamical model. It is well known that dynamical systems with smooth nonlinearities can be embedded in a quasi-polynomial model. Quasipolynomial systems are good candidates for a general nonlinear system representation since their global stability analysis is equivalent to the feasibility of a LMI. Moreover, the stabilizing quasi-polynomial state feedback controller design problem is equivalent to the feasibility of a bilinear matrix inequality. The classical stabilizing state feedback problem for quasipolynomial systems has been extended in this work with the ability of tracking time-dependent reference signals. It is shown, that the stabilizing quasi-polynomial servo controller design is equivalent to a bilinear matrix inequality. The results are applied to the model of a synchronous generator.read more
Citations
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Quasi-polynomial Representation-based Control of Mechanical Systems
László Neukirchner,Attila Magyar +1 more
TL;DR: In this paper, a simple kinematic model of a differential steering mobile robot is investigated using a nonlinear technique based on the quasi-polynomial representation of the dynamical model.
References
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Book
Linear Matrix Inequalities in System and Control Theory
TL;DR: In this paper, the authors present a brief history of LMIs in control theory and discuss some of the standard problems involved in LMIs, such as linear matrix inequalities, linear differential inequalities, and matrix problems with analytic solutions.
Journal ArticleDOI
Concepts of Synchronous Machine Stability as Affected by Excitation Control
TL;DR: In this article, the stability of synchronous machines under small perturbations is explored by examining the case of a single machine connected to an infinite bus through external reactance, and the results are shown to be similar to ours.
Journal ArticleDOI
A tutorial on linear and bilinear matrix inequalities
TL;DR: In this article, a tutorial on the mathematical theory and process control applications of linear matrix inequalities and bilinear matrix inequalities (BMIs) is presented, and a software for solving LMI and BMI problems is reviewed.
Linear Matrix Inequalities in Control
Carsten W. Scherer,Siep Weiland +1 more
TL;DR: In this article, the role of LMI in dissipativity stability and nominal performance is discussed, from analysis to synthesis, from nominal to robust stability, robust performance and robust synthesis.