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A New Adaptive Explicit Nonlinear Model Predictive Control Design for a Nonlinear MIMO System: An Application to Twin Rotor MIMO System

Lakshmi Dutta and Dushmanta Kumar Das*
International Journal of Control, Automation, and Systems, vol. 19, no. 7, pp.2406-2419, 2021

Abstract : This paper proposed an adaptive explicit nonlinear model predictive control (AENMPC) technique using multiple estimation models with a convex combination framework [18] for a class of nonlinear MIMO systems. Here, the explicit solution for the control signal is obtained from an optimal performance index which can be formulated without online optimization. In this work, a closed-form control law is developed by approximating the tracking error in the receding horizon by its Taylor series expansion. The control performance of any modelbased control technologies explicitly depends on the quality of the unknown system parameters, hence an adaptive parameter estimator is used to estimate the system parameter online [16,17]. To ensure the boundedness of the estimated parameter within a predefined compact region, a projection based adaptive law is used [43]. Using an aerodynamic laboratory set-up, known as the twin-rotor multi-input multi-output system (TRMS), the effectiveness of the proposed control algorithm has been verified. The complete state information of the system to the proposed adaptive controller is given from an extended Kalman filter based state observer. The performance of the proposed adaptive control algorithm has been verified successfully in simulations as well as real-time experimental setup of the TRMS model and compared with an existing control approach.

Keyword : Adaptive Explicit Nonlinear Model Predictive Control (AENMPC), Extended Kalman Filter (EKF), Feedback Linearization Control (FLC), Multi-Input-Multi-Output (MIMO), Twin Rotor MIMO System (TRMS).

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