Self-Stabilization of a riderless bicycle with a control moment gyroscope via model-based active disturbance rejection control

In this paper, the problem of self-stabilization at zero speed of a riderless bicycle with a Control Moment Gyroscope (CMG) is addressed. As it is known, bicycles are highly nonlinear uncertain systems affected by external disturbances, then robust controllers are important to provide adequate self-balancing and disturbance rejection. This article proposes a two-loop model-based Active Disturbance Rejection (ADR) control approach mainly composed by two extended state observers and two state feedback control laws with active disturbance rejection injection. The proposed scheme provides estimation and on-line rejection of disturbances affecting the inner and outer control loops. A nonlinear model of a bicycle with a CMG is used to validate the proposed strategy, and also other cascade control scheme is provided for comparison purposes. The results show that the proposed ADR control approach is robust and effective for stabilizing the bicycle but also for rejecting external disturbances.

[1]  Anouck Girard,et al.  Gyroscopic stabilisation of unstable vehicles: configurations, dynamics, and control , 2008 .

[2]  Alberto Isidori,et al.  Examples of nonlinear observers , 1993 .

[3]  Zhiqiang Gao,et al.  An alternative paradigm for control system design , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[4]  Leonid M. Fridman,et al.  Second-order sliding-mode observer for mechanical systems , 2005, IEEE Transactions on Automatic Control.

[5]  Toshiyuki Murakami,et al.  Sliding-Mode Control Scheme for an Intelligent Bicycle , 2009, IEEE Transactions on Industrial Electronics.

[6]  Simon Kalouche.  Control Moment Gyroscope Stabilization and Maneuverability of Inherently Unstable Vehicles and Mobile Robots , 2014 .

[7]  P. Cox,et al.  Cycling and Society , 2012 .

[8]  Zhiqiang Gao,et al.  Active disturbance rejection control: a paradigm shift in feedback control system design , 2006, 2006 American Control Conference.

[9]  Wen-Hua Chen,et al.  Disturbance observer based control for nonlinear systems , 2004, IEEE/ASME Transactions on Mechatronics.

[10]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[11]  John Cortés-Romero,et al.  Generalized proportional integral control for periodic signals under active disturbance rejection approach. , 2014, ISA transactions.

[12]  J. Paradiso,et al.  Redundant single gimbal control moment gyroscope singularity analysis , 1990 .

[13]  Saurabh Srivastava,et al.  A PI/PID controller for time delay systems with desired closed loop time response and guaranteed gain and phase margins , 2016 .

[14]  Mingguo Zhao,et al.  Control System Design of Self-balanced Bicycles by Control Moment Gyroscope , 2015 .

[15]  Pom Yuan Lam.  Gyroscopic stabilization of a kid-size bicycle , 2011, 2011 IEEE 5th International Conference on Cybernetics and Intelligent Systems (CIS).

[16]  Dave Horton,et al.  Environmentalism and the bicycle , 2006 .

[17]  K.J. Astrom,et al.  Bicycle dynamics and control: adapted bicycles for education and research , 2005, IEEE Control Systems.

[18]  Ümit Özgüner,et al.  Stabilizing control of an autonomous bicycle , 2013, 2013 9th Asian Control Conference (ASCC).

[19]  Masaki Yamakita,et al.  Stabilization of an Unmanned Bicycle with Flywheel Balancer , 2010 .

[20]  Keith Redmill,et al.  Gyroscopic stabilization of an unmanned bicycle , 2014, 2014 American Control Conference.

[21]  G. Rose,et al.  Promoting transportation cycling for women: the role of bicycle infrastructure. , 2008, Preventive medicine.

[22]  Zengqi Sun,et al.  Analysis and design of fuzzy controller and fuzzy observer , 1998, IEEE Trans. Fuzzy Syst..

[23]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .