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Two Methods ‘for Synthesis of State and Disturbance Observers for an Unmanned Aerial Vehicle

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Abstract

As part of the synthesis of a tracking system for an unmanned aerial vehicle (UAV) exposed to uncontrolled external disturbances under the conditions of incomplete measurements of the state vector, we develop procedures for synthesizing novel low-order state and disturbance observers that do not require constructing dynamic models of external inputs. The observation subsystem includes two state observers. One of them estimates the velocities based on measurements of the UAV center of mass coordinates. The other observer uses the measurements of tracking errors to give estimates of mixed variables (state functions, external inputs, and their derivatives) from which the feedback is directly formed. It is noted that implementing the developed algorithms, which do not involve readjustment when external inputs change, will increase the UAV control system functionality and its reliability in the event of failure of measuring devices. The efficiency of our approach to tracking system synthesis is confirmed by numerical simulation results. We present the results of comparative analysis of closed-loop systems with static (under the assumption that all internal and external variables are measured) and dynamic feedback that uses two approaches to solving the problem of estimation under external disturbances—high-gain observers and observers with piecewise linear bounded corrective inputs. It is shown that, despite the simpler setup, it is expedient to use observers of the second type in linear feedback systems, while high-gain observers will be in demand in systems with a priori bounded controls.

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REFERENCES

  1. Andrievski, B.R. and Fradkov, A.L., Trends in the automatic control in aerospace, J. Comput. Syst. Sci. Int., 2004, vol. 43, no. 2, pp. 278–287.

    MATH  Google Scholar 

  2. Kolesnikov, A.A. and Kobzev, V.A, Dinamika poleta i upravlenie: sinergeticheskii podkhod (Flight Dynamics and Control: Synergy Approach), Taganrog: TTI YUFU, 2009.

    Google Scholar 

  3. Gerasimov, D.N., Paramonov, A.V., and Nikiforov, V.O., Algorithm of multiharmonic disturbance compensation in linear systems with arbitrary delay: internal model approach, Sci. Tech. J. Inf. Technol. Mech. Optics, 2016, vol. 16, no. 6, pp. 1023–1030.

    Google Scholar 

  4. Do, K.D., Liang, Z.P., and Pan, J., On global tracking control of a VTOL aircraft without velocity measurements, IEEE Trans. Autom. Control, 2003, vol. 48, no. 12, pp. 2212–2217.

    Article  MathSciNet  Google Scholar 

  5. Wang, X., Liu, J., and Cai, K.-Y., Tracking control for VTOL aircraft with disabled IMUs, Int. J. Syst. Sci., 2010, vol. 41, no. 10, pp. 1231–1239.

    Article  MathSciNet  Google Scholar 

  6. Golubev, A.E., Krishchenko, A.P., and Tkachev, S.B., Stabilization of nonlinear dynamic systems using the system state estimates made by the asymptotic observer, Autom. Remote Control, 2005, vol. 66, no. 7, pp. 1021–1058.

    Article  MathSciNet  Google Scholar 

  7. Krasnova, S.A. and Utkin, V.A., Kaskadnyi sintez nablyudatelei sostoyaniya dinamicheskikh sistem (Cascade Synthesis of State Observers for Dynamical Systems), Moscow: Nauka, 2006.

    Google Scholar 

  8. Korovin, S.K. and Fomichev, V.V., Nablyudateli sostoyaniya dlya lineinykh sistem s neopredelennost’yu (State Observers for Linear Systems with Uncertainty), Moscow: Fizmatlit, 2007.

    Google Scholar 

  9. Dik, V.V., Krasnova, S.A., and Tkachev, S.B., Analytical redundancy of aircraft systems, in Nauka i obrazovanie: elektronnoe nauchno-tekhnicheskoe izdanie (Science and Education: Electron. Sci.-Tech. Ed.), Moscow: BMSTU, 2013, no. 6. pp. 211–226.

  10. Krasnova, S.A. and Mysik, N.S., Design of invariant control system for longitudinal motion of flight vehicle, Autom. Remote Control, 2011, vol. 72, no. 10, pp. 2100–2111.

    Article  MathSciNet  Google Scholar 

  11. Krasnova, S.A. and Utkin, A.V., Analysis and synthesis of minimum phase nonlinear SISO systems under external unmatched perturbations, Autom. Remote Control, 2016, vol. 77, no. 9, pp. 1665–1675.

    Article  MathSciNet  Google Scholar 

  12. Krasnova, S.A. and Utkin, A.V., Sigma function in observer design for states and perturbations, Autom. Remote Control, 2016, vol. 77, no. 9, pp. 1676–1688.

    Article  MathSciNet  Google Scholar 

  13. Krasnov, D.V. and Utkin, A.V., Synthesis of a multifunctional tracking system in conditions of uncertainty, Autom. Remote Control, 2019, vol. 79, no. 12, pp. 345–357.

    MATH  Google Scholar 

  14. Krasnova, S.A., Utkin, V.A., and Utkin, A.V., Block approach to analysis and design of the invariant nonlinear tracking systems, Autom. Remote Control, 2017, vol. 78, no. 12, pp. 2120–2140.

    Article  MathSciNet  Google Scholar 

  15. Utkin, V.A., Invariance and independence in systems with separable motion, Autom. Remote Control, 2001, vol. 62, no. 11, pp. 1825–1843.

    Article  MathSciNet  Google Scholar 

  16. Kanatnikov, A.N. and Krishchenko, A.P, Terminal control of spatial motion of flying vehicles, J. Comput. Syst. Sci. Int., 2008, vol. 47, no. 5, pp. 718–731.

    Article  Google Scholar 

  17. Kanatnikov, A.H., Liu, W., and Tkachev, S.B., Path coordinates in 3D path following problem, Math. Models Comput. Simul., 2018, vol. 10, no. 3, pp. 265–275.

    Article  MathSciNet  Google Scholar 

  18. Alizadeh, G. and Chasemi, K., Control of quadrotor using sliding mode disturbance observer and nonlinear \(H_\infty \), Int. J. Robotics (Theory Appl.), 2015, vol. 4, no. 1, pp. 38–46.

    Google Scholar 

  19. Luenberger, D.B., Observers of multivariable systems, IEEE Trans. Autom. Control, 1966, vol. 11, no. 2, pp. 190–197.

    Article  MathSciNet  Google Scholar 

  20. Afri, C., Andrieu, V., Bako, L., and Dufour, P., State and parameter estimation: a nonlinear Luenberger observer approach, IEEE Trans. Autom. Control, 2017, vol. 62, no. 2, pp. 973–980.

    Article  MathSciNet  Google Scholar 

  21. Khalil, H.K. and Praly, L., High-gain observers in nonlinear feedback control, Int. J. Robust Nonlinear Control, 2014, vol. 24, no. 6, pp. 993–1015.

    Article  MathSciNet  Google Scholar 

  22. Rodríguez-Mata, A.E., Flores, G., Martínez-Vásquez , A.H., et al., Discontinuous high-gain observer in a robust control UAV quadrotor: real-time application for watershed monitoring, Math. Probl. Eng., 2018, Article ID 4940360, pp. 1–10. https://doi.org/10.1155/2018/4940360

  23. Babin, V.A., Dik, V.V., and Krasnova, S.A., Sublimit realizations of discontinuous corrective inputs of a sliding mode observer, Tr. XII Vseros. soveshchaniya po problemam upravleniya (VSPU–2014) (Proc. XII All-Russ. Meeting Control Probl.(VSPU–2014)) (Moscow, 2014), Moscow: Inst. Probl. Upr. Ross. Akad. Nauk, 2014, pp. 374–390.

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Funding

This work was partly supported by the Russian Foundation for Basic Research, project no. 18-01-00846A.

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Correspondence to Yu. G. Kokunko.

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Translated by V. Potapchouck

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Kokunko, Y.G., Krasnov, D.V. & Utkin, A.V. Two Methods ‘for Synthesis of State and Disturbance Observers for an Unmanned Aerial Vehicle. Autom Remote Control 82, 1426–1441 (2021). https://doi.org/10.1134/S0005117921080099

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  • DOI: https://doi.org/10.1134/S0005117921080099

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