Change of controller based on partial feedback linearization with time-varying function

This paper considers the problem to transfer the state from one zero dynamics submanifold to another one in finite time, for a time-invariant nonlinear system. The usage of time-varying zero dynamics submanifold is proposed to accomplish the transfer. The feature of this paper is facus on keeping the state on zero dynamics submanifold during the transfer. Main contribution is to develop the condition for doing this for the case that the two zero dynamcis submanifolds have the same dimension. The validity of the controller that is designed to satisfy the condition is demonstrated via a numerical simulation of mono-rotor unmanned aerial vehicle (UAV) system.

[1]  Christine Chevallereau,et al.  Nonlinear control of mechanical systems with an unactuated cyclic variable , 2005, IEEE Transactions on Automatic Control.

[2]  Mitsuji Sampei,et al.  Throwing motion control of the springed Pendubot via unstable zero dynamics , 2010, 2010 IEEE International Conference on Control Applications.

[3]  Kaustubh Pathak,et al.  Velocity and position control of a wheeled inverted pendulum by partial feedback linearization , 2005, IEEE Transactions on Robotics.

[4]  M. Sampei,et al.  Parameterization of the Output with Respect to the Relative Degree , 2010 .

[5]  Mark W. Spong,et al.  The swing up control problem for the Acrobot , 1995 .

[6]  R. Marino.  On the largest feedback linearizable subsystem , 1986 .

[7]  Mitsuji Sampei,et al.  Locomotion control of a snake robot with constraint force attenuation , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[8]  Shigeki Nakaura,et al.  Feedback control of enduring rotary motion of devil stick , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[9]  Masaki Yamakita,et al.  Experimental Study of Automatic Control of Bicycle with Balancer , 2006, 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[10]  C. Chevallereau,et al.  Stable trajectory tracking for biped robots , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[11]  Philippe Lefèvre,et al.  Sensorless stabilization of bounce juggling , 2006, IEEE Transactions on Robotics.

[12]  Mitsuji Sampei,et al.  Control of bipedal running by the angular-momentum-based synchronization structure , 2010, 2010 IEEE International Conference on Robotics and Automation.

[13]  Alberto Isidori,et al.  Partial and robust linearization by feedback , 1983, The 22nd IEEE Conference on Decision and Control.

[14]  Nahum Shimkin,et al.  Nonlinear Control Systems , 2008 .