Generating oscillations in inertia wheel pendulum via two‐relay controller

The problem of generating oscillations of the inertia wheel pendulum is considered. We combine exact feedback linearization with two-relay controller, tuned using frequency-domain tools, such as co ...

[1]  Ian R. Manchester,et al.  Can we make a robot ballerina perform a pirouette? Orbital stabilization of periodic motions of underactuated mechanical systems , 2008, Annu. Rev. Control..

[2]  Yuri B. Shtessel,et al.  AN ASYMPTOTIC SECOND‐ORDER SMOOTH SLIDING MODE CONTROL , 2003 .

[3]  Y. Orlov.  Discontinuous Systems: Lyapunov Analysis and Robust Synthesis under Uncertainty Conditions , 2008 .

[4]  A. Levant.  Sliding order and sliding accuracy in sliding mode control , 1993 .

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

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

[7]  Arjan van der Schaft,et al.  Dynamics and control of a class of underactuated mechanical systems , 1999, IEEE Trans. Autom. Control..

[8]  Alberto Isidori,et al.  Nonlinear control systems: an introduction (2nd ed.) , 1989 .

[9]  Igorʹ. Boĭko.  Discontinuous Control Systems , 2008 .

[10]  Romeo Ortega,et al.  Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment , 2002, IEEE Trans. Autom. Control..

[11]  Karl Johan Åström,et al.  The Reaction Wheel Pendulum , 2007, The Reaction Wheel Pendulum.

[12]  Anders Robertsson,et al.  Shaping Stable Periodic Motions Of Inertia Wheel Pendulum: Theory And Experiment , 2009 .

[13]  Peter I. Corke,et al.  Nonlinear control of the Reaction Wheel Pendulum , 2001, Autom..

[14]  Leonid M. Fridman,et al.  Generating Self-Excited Oscillations via Two-Relay Controller , 2009, IEEE Transactions on Automatic Control.

[15]  Patrizio Colaneri,et al.  On the design and synthesis of limit cycles using switching linear systems , 2010, Int. J. Control.

[16]  Igor Boiko,et al.  Oscillations and transfer properties of relay servo systems - the locus of a perturbed relay system approach , 2005, Autom..