Title :
A relaxation method for stable inversion of discrete-time nonlinear systems [power converter application]
Author :
Taylor, David C. ; Li, Song
Author_Institution :
Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
This paper formulates and solves the problem of stable inversion for a class of discrete-time nonlinear systems possessing hyperbolic zero dynamics. Given a desired output trajectory, the new stable inversion method determines bounded reference trajectories for the input and state variables that satisfy the plant state and output equations. For minimum-phase systems these reference trajectories are causal, whereas for nonminimum-phase systems they are noncausal. The numerical method proposed for stable inversion is based on iterative solution of simultaneous nonlinear equations using quasi-Newton schemes. An application to electronic power conversion circuits illustrates the significant benefits of computing the feedforward input using stable inversion
Keywords :
control system analysis; control system synthesis; discrete time systems; feedforward; iterative methods; nonlinear control systems; power convertors; voltage control; bounded reference trajectories; control design; discrete-time nonlinear systems; electronic power conversion circuits; feedforward input; hyperbolic zero dynamics; input variables; iterative solution; minimum-phase systems; power convertors; quasi-Newton schemes; reference trajectories; relaxation method; simultaneous nonlinear equations; stable inversion; state variables; Circuits; Digital control; Ear; Iterative methods; Nonlinear equations; Nonlinear systems; Power conversion; Pulse width modulation converters; Relaxation methods; Trajectory;
Conference_Titel :
Industrial Electronics Society, 2001. IECON '01. The 27th Annual Conference of the IEEE
Conference_Location :
Denver, CO
Print_ISBN :
0-7803-7108-9
DOI :
10.1109/IECON.2001.976534
