Design of a Robust Controller Using Sliding Mode for Two Rotor Aero-Dynamic System
This paper deals with two rotor aero-dynamic system (TRAS) which is a multi-input multi-output highly coupled nonlinear system, for creating a mathematical model based following the Lagrange’s Equations, and creating controllers for Sliding Mode Control and Linear Quadratic Regulator. The Sliding Manifold is designed by employing the reduced order representation. Linear Quadratic Regulator has been created by linearizing the nonlinear system acquired by creating the state space representation following the mathematical model. The signal tracking conditions of PID, SMC, and LQR have been discussed. Although the proposed control methodology has perfect actuation time, the tracking efficiency was not satisfactory. Therefore, a rework on the parametrization and introduction of filters, i.e. types of Kalman Filters have been proposed as a conclusion.
Available: https://en.wikipedia.org/wiki/Helicopter. [Accessed: 5-May-2018]
 G. Padfield, “Helicopter Flight Dynamics”. Chichester: John Wiley & Sons, 2008.
 “Equipment | Alpha Control Lab”, A-lab.ee, 2018. [Online].
Available: https://a-lab.ee/equipment. [Accessed: 1-May-2018]
 Inteco, “Two Rotor Aero-dynamical System’s User Manual”, 2003.
 K. U. Khan, N. Iqbal, “Modelling and Controller Design of Twin Rotor System/Helicopter Lab Process Development at PIEAS”. [Online].
 P. Chalupa, J. Prikyl, J. Novak, “Modelling of Twin Rotor MIMO System”, Procedia Engineering, vol. 100, pp 249 - 58, 2015.
 R. Rashad, A. El – Badawy, and A. Aboudonia, “Sliding Mode Disturbance - Observed Based Control of a Twin Rotor MIMO System”, ISA Transactions, vol. 69, pp. 166 – 174, 2017.
 G. Zhang and J. Furusho, "Speed control of two-inertia system by PI/PID control," IEEE Transactions on Industrial Electronics, vol. 47, no. 3, pp. 603-609, June 2000.
 J. Slotine, W. Li, “Applied Nonlinear Control”, Taipei: Pearson Education Taiwan, 2005.
 W. Brogan, Modern Control Theory. Englewood Cliffs: Prentice Hall, 1991.
 R. Bellman, R. Kalaba, Quasilinearisation and Nonlinear Boundary – Value Problems, New York: American Elsevier Pub. Co., 1965.
 K. Young, V. Utkin, U. Ozguner, “A Control Engineer’s Guide to Sliding Mode Control”, IEEE Transactions on Control Systems Technology, vol. 7, no. 3, pp. 328 – 342, 1999.
 Y. Shtessel, C. Edwards, L. Fridman, A. Levant, Sliding Mode Control and Observation, New York, NY: Springer New York, 2014.
 V. Utkin, Sliding Modes in Control and Optimization, Berlin: Springer-Verlag, 1992.
 C. Gurbani and V. Kumar, "Designing Robust Control by Sliding Mode Control Technique," AEEE Research Publications, vol. 3, no. 2, pp. 137-144, 2013.
 R. M. Murray, Z. Li, S. S. Sastry, A Mathematical Introduction to Robotic Manipulation, CRC Press, 1993
 U. Itkis, Control systems of variable structure, Toronto: John Wiley & Sons, New York, 1976
 “Hyperbolic Tangent from Wolfram MathWorld“, Mathworld.wolfram.com, 2018. [Online]. Available: http://mathworld.wolfram.com/HyperbolicTangent.html [Accessed: 13-May-2018]
 A. Janbakhsh, M. Bayani Khaknejad, R. Kazemi, “Simultaneous Vehicle Handling and Path Tracking Improvement Using Adaptive Dynamic Surface Control via a Steer-by-Wire System”, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 227, no. 3, pp. 345 – 360, 2012.
 “Graph of Logistic Curve”, Upload.wikimedia.org, 2018. [Online].
Available: https://upload.wikimedia.org/wikipedia/commons/8/88/Logistic-curve.svg [Accessed: 15-May-2018]
 P. Lesniewski and A. Bartoszewicz, "Hyperbolic Tangent based Switching Reaching Law for Discrete Time Sliding Mode Control of Dynamical Systems," in Recent Advances in Sliding Modes, Istanbul, Turkey, April 2015.
 S. Butt, H. Aschemann, “Multi – Variable Integral Sliding Mode Control of a Two Degrees of Freedom Helicopter”, IFAC – PapersOnline, vol. 48, no. 1, pp. 802 – 807, 2015.
 S. Butt, R. Parabel, H. Aschemann, “Multi-Variable Flatness Based Control of a Helicopter with Two Degrees of Freedom”, International Conference on Control Decision and Information Technologies, pp. 321 – 326, 2014
 S. Butt, H. Sun, H. Aschemann, “Control Design by Extended Linaerization Techniques for a Two Degrees of Freedom Helicopter”, IFAC – PapersOnline, vol. 48, no. 11, pp. 22- 27, 2015.
 O. Scholten, “Friction in Lagrange’s Formulation”, 2003. [Online].
Available: https://www.kvi.nl/~scholten/AAM/Friction-Lagrange.pdf, [Accessed: 2-May-2018]
 C. -W. Tao, J. -S. Taur, Y. -H. Chang, C. -W. Chang, “A Novel Fuzzy-Sliding and Fuzz-Integral-Sliding Controller for the Twin-Rotor Multi-Input-Multi-Output System”, IEEE Transactions on Fuzzy Systems, vol. 18, no. 5, pp. 893 – 905, 2010.
 S. Mondal, C. Mahanta, “Second Order Sliding Mode Controller for Twin Rotor MIMO System”, Annual IEEE India Conference, 2011
 K. Vassiljeva, “Restricted Connectivity Neural Networks Based Identification for Control”, TTU Press, 2012
 P. M. De Russo, State Variables for Engineers, John Wiley & Sons Inc, New York, 1965
 “Signum Function”, Math.feld.cvut.cz, 2018. [Online].
Available: http://math.feld.cvut.cz/mt/txtb/4/txe3ba4j.htm [Accessed: 21-May-2018]
 Wan Mansor Wan Muhamad, “Vehicle Steering Dynamic Calculation and Simulation”, International Journal of Innovative Technology and Interdisciplinary Sciences, vol. 1, no. 1, pp. 87-97, Nov. 2018.
 Setyamartana Parman, “Fuzzy Logic Control of Clutch for Hybrid Vehicle”, International Journal of Innovative Technology and Interdisciplinary Sciences, vol. 1, no. 1, pp. 78-86, Nov. 2018.
 John Pumwa, “Time Variant Predictive Control of Autonomous Vehicles”, International Journal of Innovative Technology and Interdisciplinary Sciences, vol. 1, no. 1, pp. 62-77, Nov. 2018.
 Nitin Afzulpurkar, “Automatic Control of Clutch Engagement and Slip for Hybrid Vehicle”, International Journal of Innovative Technology and Interdisciplinary Sciences, vol. 1, no. 1, pp. 49-61, Nov. 2018.
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