Applications of energy based control methods for the inverted pendulum on a cart

Controlled Lagrangians and the stabilization of mechanical systems. I. The first matching theorem

Anthony M. Bloch, Naomi Ehrich Leonard, Jerrold E. Marsden · IEEE Transactions on Automatic Control · 2000 · 505 citations

Engineering, Mathematics, Mechanical Engineering +17

Controlled Lagrangians and the stabilization of mechanical systems. II. Potential shaping

Anthony M. Bloch, Dong Eui Chang, Naomi Ehrich Leonard et al. · IEEE Transactions on Automatic Control · 2001 · 343 citations

Natural Sciences, Mechanical Engineering, Dynamical Systems +14

On global properties of passivity-based control of an inverted pendulum

Anton Shiriaev, A. Pogromsky, H. Ludvigsen et al. · International Journal of Robust and Nonlinear Control · 2000 · 104 citations

Engineering, Mechanical Engineering, Robotics Engineering +17

Controlled Lagrangian Systems with Gyroscopic Forcing and Dissipation

Craig A. Woolsey, C. K. Reddy, Anthony M. Bloch et al. · European Journal of Control · 2004 · 77 citations

Natural Sciences, Aerospace Engineering, Mechanical Engineering +14

Energy shaping and dissipation: Underwater vehicle stabilization using internal rotors

Craig A. Woolsey · 2001 · 12 citations

Engineering, Marine Engineering, Ocean Engineering +14