We provide necessary and sufficient conditions for Lyapunov stabilizability and exponential stabilizability by the energy shaping method for the class of all linear controlled Lagrangian systems of an arbitrary degree of under-actuation, and for the class of all controlled Lagrangian systems of one degree of under-actuation. We give a sufficient condition for asymptotic stabilizability for the ...

In view of the control problem of Permanent magnet linear synchronous motor (PMLSM), applying port-controlled Hamiltonian (PCH) systems and passivity -based control theory, the modeling of Permanent Magnet Linear Synchronous Motor is presented. Using energy-shaping and passivity-based control (PBC) method, the control principle of PMLSM is given. The control laws are presented in load known con...

This note describes a systematic procedure for the control synthesis of a rigid spacecraft using the energy shaping method. The geometric concept of a mechanical system in a coordinate-independent form is used to derive a control algorithm for the Euler–Poincaré equations. The main result of this note is a specialization of the method on the unit quaternion group. This note is concluded with th...

Constellation shaping can provide an energy saving called shaping gain. The idea behind constellation shaping is that signals with large norm are used less frequently than signals with small norm, thus improving the overall gain by adding shaping gain to the original coding gain [1]. Theoretically, when constellation points are selected according to a continuous Gaussian distribution at every d...

High-performance motion control applications require precise tracking of rapidly changing speed/position and flux trajectories. In this short paper, we present an energy-shaping controller and an input-output linearization controller for current-fed induction motors. Induction motor can be represented as the negative feedback interconnection of passive electrical and mechanical subsystems [1, 2...

A significant share of future urban energy consumption is predetermined when land-use and urban form are designated. Community Energy Management (CEM) is a sustainable energy strategy which looks at how shaping the built environment and designing urban services in consideration of energy production, distribution and use could affect both the long term demand for energy and the type of energy su...