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Analytical Design and Stability Analysis of the Universal Integral Regulator Applied in Flight Control

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  • Control Theory and Applications
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Abstract

This paper considers the analytical design and stability analysis of an output feedback flight control problem for a rigid fighter aircraft which has a highly nonlinear dynamic. In this paper, a robust technique known as Universal Integral Regulator (UIR) has been chosen to solve the tracking problem due to the possibility to demonstrate the stability of the system and analytically compute the control parameters. The UIR is a combination of Continuous Sliding Mode Control (CSMC) and a Conditional Integrator (CI) which provides integral action only inside the boundary layer, enhancing the transient response of the system and providing an equilibrium point where the tracking error is zero. The general procedure consists firstly of rewriting the aircraft dynamics in the control-affine form, then the relative degree of the system is computed and the system is transformed to normal form. An output feedback controller using a CSMC controller is proposed, and a sliding surface considering a CI is designed. The controller parameters are designed analytically, taking into account two approaches. The first approach does not consider uncertain parameters and the second one treats a stability derivative as a parametric uncertainty. Simulations were performed in order to validate the design procedure of the control technique and to demonstrate the robustness of the UIR. Detailed step by step information about the computing of the controller parameters was done and an analytical analysis of stability was developed to demonstrate the convergence of the sliding surface, conditional integrator and tracking error dynamics.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Federal University of Itajubá, 1303 BPS Avenue, Itajubá, 37500-903, Brazil

    Yohan Díaz-Méndez, Marcelo S. de Sousa, Guilherme Gomes & Sebastião Cunha

  2. Department of Mathematics and Computing, Federal University of Itajubá, 1303 BPS Avenue, Itajubá, 37500-903, Brazil

    Alexandre Ramos

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  1. Yohan Díaz-Méndez
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  2. Marcelo S. de Sousa
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  3. Guilherme Gomes
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  4. Sebastião Cunha
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Correspondence to Yohan Díaz-Méndez.

Additional information

Recommended by Associate Editor Guangdeng Zong under the direction of Editor Hamid Reza Karimi.

Yohan Díaz-Méndez received his B.S. degree in Aeronautical Engineering in 2010 from the Universidad Nacional Experimental Politécnica de la Fuerza Armada (Venezuela), an M.S. and Ph.D. degrees in Mechanical Engineering from the Federal University of Itajubá (Brazil), in 2014 and 2018 respectively. He is currently an Adjunct Professor of Mechanical- Aeronautical Engineering at Federal University of Itajubá. His research interests include nonlinear aircraft control, structural damage detection and passive structural vibration control.

Marcelo S. de Sousa received the B.S., M.S. and Ph.D. degrees in Aeronautical Engineering from the Technological Institute of Aeronautics - ITA, (Brazil), in 2001, 2005, and 2013, respectively. He worked at the EMBRAER aircraft manufacturer and currently is an Adjunct Professor of Mechanical-Aeronautical Engineering at Federal University of Itajubá, UNIFEI (Brazil). His research interests include aircraft modeling, simulation and linear and nonlinear control.

Guilherme Gomes received the B.S., M.S. and Ph.D. degrees in Mechanical Engineering from the Federal University of Itajubá (Brazil), in 2014, 2016, and 2017 respectively. He holds a Master’s degree in Mechanical/Industrial Engineering from the École Nationale d’Ingénieurs de Metz (France). He is currently is an Adjunct Professor of Mechanical Engineering at Federal University of Itajubá. His research interests are in mechanical vibrations, structural damage detection, numerical methods, optimization and engineering materials.

Sebastião S. Cunha received the B.S., M.S. and Ph.D. degrees in Mechanical Engineering from the Federal University of Uberlândia (Brazil), in 1996, 1999, and 2004 respectively. He is currently an Associate Professor of Mechanical Engineering at Federal University of Itajubá. His research interests are in mechanical vibrations, mechanical systems design, optimization and control.

Alexandre Ramos received the B.S. in Electronic Engineering from the University of Vale do Paraíba in 1985, his M.S. and Ph.D. degrees in Electronic and Systems Engineering from Aeronautics Institute of Technology (Brazil), in 1992 and 1996, respectively. He holds Postdoctorate’s studies in the Ecole Nationale de l’Aviation Civile (France) in 2013-2014. His research interests are in information systems, control of electronic processes and analytical models and simulation.

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Díaz-Méndez, Y., de Sousa, M.S., Gomes, G. et al. Analytical Design and Stability Analysis of the Universal Integral Regulator Applied in Flight Control. Int. J. Control Autom. Syst. 17, 391–404 (2019). https://doi.org/10.1007/s12555-018-0376-3

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  • DOI: https://doi.org/10.1007/s12555-018-0376-3

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