Reduced normal forms for nonlinear control of underactuated hoisting systems

[1]  Albert Y. Zomaya,et al.  Partial Differential Equations , 2007, Explorations in Numerical Analysis.

[2]  Wojciech Blajer,et al.  Improved DAE formulation for inverse dynamics simulation of cranes , 2011 .

[3]  Christian Rapp,et al.  Modal Coupling for Active Damping of Load Swing of Container Cranes , 2010 .

[4]  Wojciech Blajer,et al.  Motion planning and control of gantry cranes in cluttered work environment , 2007 .

[5]  Thomas Heyden,et al.  Dynamics and flatness-based control of a kinematically undetermined cable suspension manipulator , 2006 .

[6]  Ali H. Nayfeh,et al.  Dynamics and Control of Cranes: A Review , 2003 .

[7]  Jean-Pierre Barbot,et al.  Analysis and Control of Hopf Bifurcations , 2003, SIAM J. Control. Optim..

[8]  James Murdock,et al.  Normal Forms and Unfoldings for Local Dynamical Systems , 2002 .

[9]  Reza Olfati-Saber,et al.  Normal forms for underactuated mechanical systems with symmetry , 2002, IEEE Trans. Autom. Control..

[10]  Ali H. Nayfeh,et al.  Sway Reduction on Container Cranes Using Delayed Feedback Controller , 2002 .

[11]  Arthur J. Krener,et al.  Normal Forms of Linearly Uncontrollable Nonlinear Control Systems with a Single Input , 2001 .

[12]  Jean Della Dora,et al.  An Algorithm for Computing a New Normal Form for Dynamical Systems , 2000, J. Symb. Comput..

[13]  Amir Khajepour,et al.  MODAL COUPLING CONTROLLER DESIGN USING NORMAL FORM METHOD, PART II: CONTROL , 1997 .

[14]  Petros G. Voulgaris,et al.  Approximate Feedback Linearization: A Normal Form Approach , 1996 .

[15]  S. Talwar,et al.  Control of chaotic systems: Application to the Lorenz equations , 1992 .

[16]  Arthur J. Krener,et al.  Extended normal forms of quadratic systems , 1990, 29th IEEE Conference on Decision and Control.

[17]  S. Wiggins.  Introduction to Applied Nonlinear Dynamical Systems and Chaos , 1989 .

[18]  S. Chow,et al.  Normal forms near critical points for differential equations and maps , 1988 .

[19]  P. Coullet,et al.  A simple global characterization for normal forms of singular vector fields , 1987 .

[20]  P. R. Sethna.  Vibrations of Dynamical Systems With Quadratic Nonlinearities , 1965 .

[21]  A. Krener.  Reduced Order Modeling of Nonlinear Control Systems , 2008 .

[22]  Edwin Kreuzer,et al.  Hoisting Manipulation by Modal Coupling Control for Underactuated Cranes , 2005 .

[23]  J. A. Kuznecov.  Elements of applied bifurcation theory , 1998 .

[24]  J. Franks.  Book Review: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields , 1984 .