Synthesis of Adaptive Sliding Mode Control for Twin Rotor MIMO System with Mass Uncertainty based on Synergetic Control Theory

(1) * Nguyen Xuan Chiem Mail (Le Quy Don Technical University, Viet Nam)
(2) Bui Xuan Hai Mail (Le Quy Don Technical University, Viet Nam)
(3) T. C. Phan Mail (Le Quy Don Technical University, Viet Nam)
*corresponding author

Abstract


In this paper, the authors present a new method to synthesize an adaptive sliding controller for Twin Rotor MIMO System (TRMS) based on Synergetic Control Theory (SCT). This system represents a prototype of a helicopter with two degrees of freedom and is widely used in automatic control laboratories. The complexity of the control problem is due to the nonlinear cross-coupling between the main and tail rotors. Uncertainty in system parameters further increases the complexity of the control problem. In Synergetic Control Theory, manifolds are designed for each channel. The control law is found based on sequential manifolds and the Analytical Design of Aggregated Regulators (ADAR) method. The adaptive law when the parameters are uncertain is given based on the analysis of system stability thanks to the Lyapunov function of the first manifold. Finally, the effectiveness of the proposed controller is demonstrated by numerical simulation results and comparison with conventional Sliding Mode Control (SMC).

Keywords


TRMS; MIMO; Invariant Manifold; Adaptive Control; SMC; ADAR

   

DOI

https://doi.org/10.31763/ijrcs.v4i1.1307
      

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