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Linear Quadratic Regulator Controller Design

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Abstract

In this chapter, an optimal controller is designed using the linear quadratic regulator (LQR) method. In order to better evaluate the effect of disturbances on the obtained measurements, a Kalman filter is used. Initially, the controller is tested for a case where disturbances are absent. Then, a Kalman filter is designed and the system under disturbances is tested with the designed controller and filter. The results reveal the effectiveness of the Kalman filter and LQR controller.

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References

  1. Jang JN (2003) Longitudinal stability augmentation system design for the dragon fly UAV using a single GPS receiver. In: Proceedings of the AIAA guidance, navigation, and control conference and exhibit, Austin, TX, August 2003. AIAA paper 2003-5592

    Google Scholar 

  2. Kinoshita T, Imado F (2006) A study on the optimal flight control for an autonomous UAV. In: Proceedings of the IEEE 2006 international conference on mechatronics and automation (ICMA), Luoyang, China, June 2006, 43(38)

    Google Scholar 

  3. Franko S (2009) LQR-based trajectory control of full envelope, autonomous helicopter. In: Proceedings of the world congress on engineering (WCE 2009), London, UK, July 1–3 2009, vol I

    Google Scholar 

  4. Öner KT, Çetinsoy E, Sırımoğlu E, Hancer C, Ayken T, Ünel M (2009) LQR and SMC stabilization of a new unmanned aerial vehicle. World Acad Sci Eng Technol 34:373–378

    Google Scholar 

  5. Masar I, Stöhr E (2011) Gain-scheduled LQR-control for an autonomous airship. In: Proceedings of the 18th international conference on process control, Tatranská Lomnica, Slovakia, 14–17 June 2011, pp 197–204

    Google Scholar 

  6. Santoso F, Liu M, Egan GK (2007) Linear quadratic optimal control synthesis for an UAV. In: Proceedings of the 12th Australian international aerospace congress (AIAC12), Melbourne, Australia, 16–22 March 2007

    Google Scholar 

  7. Johnson MD, Calise AJ, Johnson EN (2003) Evaluation of an adaptive method for launch vehicle flight control. In: Proceedings of the AIAA guidance, navigation, and control conference and exhibit, Austin, TX, August 2003

    Google Scholar 

  8. Anderson BDO, Moore JB (1990) Optimal control: linear quadratic methods. Prentice Hall, Englewood Cliffs

    MATH  Google Scholar 

  9. Hajiyev C, Vural SY (2010) LQR controller with Kalman estimator applied to UAV longitudinal dynamics. International workshop on unmanned air vehicles UVW2010, Istanbul, 10–12 June 2010

    Google Scholar 

  10. Hajiyev C (1999) Radio navigation. Istanbul Technical University, Istanbul (in Turkish)

    Google Scholar 

  11. Sage AP, Melsa JL (1971) Estimation theory with applications to communications and control. McGraw-Hill, New York

    MATH  Google Scholar 

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Hajiyev, C., Soken, H.E., Vural, S.Y. (2015). Linear Quadratic Regulator Controller Design. In: State Estimation and Control for Low-cost Unmanned Aerial Vehicles. Springer, Cham. https://doi.org/10.1007/978-3-319-16417-5_10

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  • DOI: https://doi.org/10.1007/978-3-319-16417-5_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16416-8

  • Online ISBN: 978-3-319-16417-5

  • eBook Packages: EngineeringEngineering (R0)

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