Title :
Stabilization of oscillations by a nonnegative feedback control
Author :
Zaslavsky, Boris
Author_Institution :
Agrophys. Res. Inst., Acad. of Sci., St. Petersburg, Russia
fDate :
6/1/1994 12:00:00 AM
Abstract :
The feedback stabilization of m-dimensional nonlinear systems is studied in this note. The Jacobian is assumed to possess 2q purely imaginary eigenvalues and m-2q eigenvalues with negative real parts. The feedback control law is assumed to be nonnegative and given by the square of a linear function. The direct and indirect control systems are investigated. In both cases stabilizability is proved and explicit formulas for the feedback functions are obtained. Lyapunov´s direct method is employed
Keywords :
Lyapunov methods; eigenvalues and eigenfunctions; feedback; multidimensional systems; nonlinear control systems; oscillations; stability; Jacobian; Lyapunov´s direct method; direct control systems; feedback stabilization; imaginary eigenvalues; indirect control systems; m-dimensional nonlinear systems; nonnegative feedback control; oscillations; Automatic control; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Feedback control; Frequency response; Jacobian matrices; Orbits; Robust stability; Robustness;
Journal_Title :
Automatic Control, IEEE Transactions on
