Exact linearization and noninteracting control of a 4 rotors helicopter via dynamic feedback

Presents a nonlinear dynamic model for a four rotors helicopter in a form suited for control design. We show that the input-output decoupling problem is not solvable for this model by means of a static state feedback control law. Then, a dynamic feedback controller is developed which renders the closed-loop system linear, controllable and noninteractive after a change of coordinates in the state-space. Finally, the stability and the robustness of the proposed control law in the presence of wind, turbulences and parametric uncertainties is analyzed through a simulated case study.

[1]  W. J. Duncan.  Theoretical Aerodynamics , 1948, Nature.

[2]  Randy A. Freeman,et al.  Robust Nonlinear Control Design , 1996 .

[3]  Josué Jr. Guimarães Ramos,et al.  Airship dynamic modeling for autonomous operation , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[4]  Tarek Hamel,et al.  Stable tracking control for unmanned aerial vehicles using non-inertial measurements , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[5]  Arjan van der Schaft,et al.  Non-linear dynamical control systems , 1990 .

[6]  A. Isidori.  Nonlinear Control Systems , 1985 .

[7]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[8]  Miomir Vukobratović,et al.  Modern Aircraft Flight Control , 1988 .

[9]  Anthony J. Calise,et al.  Adaptive nonlinear controller synthesis and flight test evaluation on an unmanned helicopter , 1999, Proceedings of the 1999 IEEE International Conference on Control Applications (Cat. No.99CH36328).

[10]  H. Shim,et al.  A comprehensive study of control design for an autonomous helicopter , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).