The stability and quality of noise shaping is a concern in the design of higher-order delta-sigma modulators for oversampled analog-to-digital conversion. We reformulate noise-shaping modulation alternatively as a nonlinear control problem, where the objective is to find the binary modulation sequence that minimizes signal swing in a cascade of integrators operating on the difference between th...

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...

Systems that exhibit flexible dynamics are susceptible to vibration caused by changes in the reference command, as well as, from external disturbances. Feedback control is an obvious choice to deal with these vibrations, but in many cases, it is insufficient or difficult to implement. Input shaping has proven beneficial for reducing vibration that is caused by changes in the reference command. ...

In this paper, we first propose an extended Casimir method for energy-shaping. Then it is used to solve some control problems of Hamiltonian systems. To solve the H∞ control problem, the energy function of a Hamiltonian system is shaped to such a form that could be a candidate solution of HJI inequality. Next, the energy function is shaped as a candidate of control ISS-Lyapunov function, and th...