A.S. Antipov, S.A. Krasnova Control of a Twin-Rotor Mechanism in Conditions of Incomplete Information
A.S. Antipov, S.A. Krasnova Control of a Twin-Rotor Mechanism in Conditions of Incomplete Information

In the paper we consider the twin rotor mechanical system as a control plant. The behavior of this system is similar in many ways to the behavior of a real technical device – a helicopter. The tracking problem of the generalized coordinates (yaw and pitch angles) for the given signals is posed under conditions of parametric uncertainty and the action of uncontrolled disturbances. In the synthesis of the control law, the decomposition principle and nonlinear S-shaped feedbacks in the form of sigma functions are used. Under the assumption that only angular position sensors are available, the reduced order state observer with sigmoidal corrective actions is constructed for estimating angular velocities. It is shown that the use of sigma functions in feedbacks provides: transient responses of the controlled variables that are close to aperiodic; tracking for the given signals which is ε-invariant with respect to the existing uncertainties without expanding the state space due to internal models; the ability to take into account design restrictions on velocity and control at the synthesis stage. The presented results of computer simulation confirm the effectiveness of the developed algorithms.


TRMS, tracking system, decomposition methods, parametric uncertainty, external disturbance, invariance, state observer.

PP. 65-75.
DOI 10.14357/20718632200107

1. Chapman J., Ilic M., King C., Eng L., and Kaufman H. Stabilizing a multimachine power system via decentralized feedback linearizing excitation control // IEEE Transactions on Power Systems. 1993. Vol. 8, No. 3. P. 830–839.
2. Spong M., Hutchinson S., Vidyasagar M. Robot Modeling and Control. 2005. Wiley, New York. 496 P.
3. Wang Y., Hill D., Middleton R., and Gao L. Transient stability enhancement and voltage regulation of power systems // IEEE Transactions on Power Systems. 1993. Vol. 8, No. 2. P. 620–627.
4. Margun A., Furtat I., and Kremlev A. Robust control of twin rotor MIMO system with quantized output // IFACPapersOnLine. 2017. Vol. 50, No. 1. P. 4849–4854.
5. Belkheiri M., Rabhi A., and Boudjema F. Model parameter identification and nonlinear control of a twin rotorMIMO system – TRMS // IFAC Proceedings Volumes. 2009. Vol. 42, No. 10. P. 1487–1492.
6. Sodhi P., Kar I. Adaptive backstepping control for a twin rotor MIMO system // IFAC Proceedings Volumes. 2014. Vol. 42, No. 10. P. 1487–1492.
7. Zimenko K.A., Kremlev A.S., Polyakov A.E., Efimov D.V. Robust stabilization of twin-rotor MIMO plant. Scientific and Technical Journal of Information Technologies, Mechanics and Optics. 2018. Vol. 18, No. 3. P. 392–398 (in Russian).
8. Butt S.S., and Aschemann H. Multi-variable integral sliding mode control of a two degrees of freedom helicopter // IFAC-PapersOnLine. 2015. Vol. 48, No. 1. P. 802–807.
9. Nguyen Q.V., and Hyun C.-H. Multiple Sliding Surface Control Approach to Twin Rotor MIMO Systems // International Journal of Fuzzy Logic and Intelligent Systems. 2014. Vol. 14, No. 3. P. 171–180.
10. Dmitriev M.G., and Makarov D.A. 2012. Postroenie lineynogo regulatora c pomosh’yu razdeleniya dvigeniy [Construction of a linear controller using motion separation] Informatsionniye tehnologii i vichislitelniye systemi [Information technology and computing systems]. 2012. Vol. 4. P. 40–48 (in Russian).
11. Krasnova, S.A., Utkin, V.A., and Utkin, A.V., Block Design of Control for Mechanical Systems under Uncertainy. // Mechatronics, Automation, Control. 2009. No. 6. P. 41–54 (in Russian).
12. Kochetkov S.A., Krasnova S.A., and Antipov A.S. Cascade Synthesis of Electromechanical Tracking Systems With Respect to Restrictions on State Variables // IFACPapersOnLine. 2017. Vol. 50, No. 1. P. 1042–1047.
13. Krasnova, S.A., and Utkin, A.V. Sigma function in observer design for states and perturbations // Automation and Remote Control. 2016. Vol. 77, No. 9. P. 1676–1688.
14. Krasnova, S.A., and Antipov, A.S. Hierarchical design of sigmoidal generalized moments of manipulator under uncertainty // Automation and Remote Control. 2018. Vol. 79, No. 3, P. 554–570.
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