Abstract

This paper proposes the design of a nonlinear sliding surface based on the principle of variable damping concept for 2-degree of freedom Twin Rotor Multiple input Multiple output System (2-dof TRMS). The implementation of the designed nonlinear sliding surface in real time is demonstrated. Super-twisting algorithm is applied in nonlinear sliding mode control. The nonlinear sliding surface enables the system trajectory to be highly robust and with the application of super-twisting algorithm in nonlinear sliding mode controller (SMC), the designed controller has minimized the problem of chattering considerably. The system is modeled in such a way that it includes all nonlinearities and coupling effects. A decoupler is designed to nullify the coupling effect. This scheme is capable of reducing both the settling time and peak overshoot simultaneously for 2-dof TRMS. The scheme also reduces the chattering. The proposed method is compared with the design using PID controller. The applicability of the designed nonlinear sliding surface and nonlinear SMC with super-twisting algorithm have been tested both in simulation and in real time. This research paper is mainly dealing with the modeling of Twin rotor MIMO system by including all nonlinearities and coupling effects, the decoupler design for 2-dof TRMS, the design of nonlinear sliding surface for 2-dof TRMS and application of super-twisting algorithm in nonlinear sliding mode control for 2-dof TRMS.

Highlights

  • The 2-degree of freedom Twin Rotor MIMO System (2-dof TRMS) is a set up designed for carrying out control experiments in laboratories

  • The designed nonlinear sliding surface based on the principle of variable damping concept [17] is applied in 2-dof TRMS

  • From the Eq (32), it is to be noted that the cross-coupling between pitch and yaw angles for the nonlinear part of 2-dof TRMS is negligible as compared with the linear part of 2-dof TRMS

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Summary

Introduction

The 2-degree of freedom Twin Rotor MIMO System (2-dof TRMS) is a set up designed for carrying out control experiments in laboratories. There exists a small percentage of overshoot and high settling time These drawbacks are claimed to have been eliminated by using sliding mode control (SMC) as presented in [7]. They could attain a good tracking performance with less overshoot, the scheme failed to reduce settling time because of the selection of linear switching surface for a nonlinear system. DESIGN AND REAL TIME IMPLEMENTATION OF NONLINEAR SLIDING SURFACE WITH THE APPLICATION OF SUPER-TWISTING ALGORITHM IN NONLINEAR SLIDING MODE CONTROL FOR TWIN ROTOR MIMO SYSTEM. Robust nonlinear sliding surface and nonlinear sliding mode control with super-twisting algorithm are designed for 2-dof TRMS.

Dynamics of 2-dof TRMS
State space modeling of 2-dof TRMS
Design of decoupler for 2-dof TRMS
Design of nonlinear sliding surface for 2-dof TRMS
Nonlinearity function
Stability analysis of nonlinear sliding surface
Simulation results and discussion
Real time implementation
Conclusions
Full Text
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