Smart beam system: Identification and minimal realization using digraphs theory

For modelling the dynamics and study of the active vibration suppression possibilities in aircraft wings, the smart beam is widely used. The advantages obtained through this approach are numerous. One of them are: aircraft stability and manoeuvrability, turbulence immunity, passenger safety and reduced fatigue damage. In this paper, the identification process has been presented, in the first step. As a result the transfer function of the continuous-time linear system was given. Then, for the obtained function the forms of minimal realizations were determined. The realization was obtained using the method based on one-dimensional digraph theory.

[2]  Silviu Folea,et al.  Comparative analysis and exprimental results of advanced control strategies for vibration suppression in aircraft wings , 2017 .

[3]  Ettore Fornasini,et al.  Directed graphs, 2D state models and characteristic polynomials of irreducible matrix pairs , 1997 .

[4]  Kaddour Najim.  Control of Continuous Linear Systems , 2006 .

[5]  Karel J. Keesman,et al.  Dynamic Systems Identification , 2011 .

[6]  C Ar Av Ani,et al.  Modern Linear Control Design , 2013 .

[7]  Petre Stoica,et al.  Decentralized Control , 2018, The Control Systems Handbook.

[8]  Tao Liu,et al.  Industrial Process Identification and Control Design , 2011 .

[9]  Panos J. Antsaklis,et al.  Linear Systems , 1997 .

[10]  Lori S. Levin,et al.  Challenges in automated elicitation of a controlled bilingual corpus. , 2002, TMI.

[11]  S. Rinaldi,et al.  Positive Linear Systems: Theory and Applications , 2000 .

[13]  Konrad Markowski,et al.  Parallel Digraphs-building Computer Algorithm for Finding a Set of Characteristic Polynomial Realisations of Dynamic System , 2016, Journal of Automation, Mobile Robotics and Intelligent Systems.

[14]  W. Wallis.  A Beginner's Guide to Graph Theory , 2000 .

[15]  Ettore Fornasini,et al.  Controllability and reachability of 2-D positive systems: a graph theoretic approach , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[17]  Manolis A. Christodoulou,et al.  System Identification and Adaptive Control , 2014 .

[18]  Hatem R. Wasmi,et al.  Vibration Control Analysis of Aircraft Wing by Using Smart Material , 2015 .

[19]  D Dwarakanathan,et al.  Active vibration control of a full scale aircraft wing using a reconfigurable controller , 2016 .

[20]  Valentin Deaconu.  Directed Graphs , 2010, Encyclopedia of Machine Learning.

[21]  Cristina I. Muresan,et al.  Discrete-time implementation and experimental validation of a fractional order PD controller for vibration suppression in airplane wings , 2017 .

[22]  Roman Szewczyk,et al.  Challenges in Automation, Robotics and Measurement Techniques - Proceedings of AUTOMATION-2016, March 2-4, 2016, Warsaw, Poland , 2016, AUTOMATION.

[23]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

[24]  T. Kaczorek.  Positive 1D and 2D Systems , 2001 .