Title :
An algebraic approach to the design of robust limit cycle controllers
Author :
Oliveira, N.M.F. ; Kienitz, K.H. ; Misawa, E.A.
Author_Institution :
Univ. Cruzeiro do Sul, Sao Paulo, Brazil
Abstract :
The design of robust limit cycle controllers introduced here can be used for autonomous systems with separable single-input-single-output nonlinearities and unavoidable limit cycles. The objective is to design a controller to secure specified oscillation amplitude and frequency. The method consists of quasi-linearization of the nonlinear element via a describing function (DF) approach and then shaping the loop to reach desired limit cycle characteristics. As the DF method is used, loop shaping takes place in the Nyquist plot.
Keywords :
Nyquist diagrams; controllers; describing functions; limit cycles; linearisation techniques; network synthesis; nonlinear control systems; robust control; Nyquist plot; algebraic approach; autonomous systems; describing function; limit cycles; loop shaping; nonlinear element; quasi-linearization; robust control; single input single output nonlinearities; transfer function; Control systems; Frequency; Geometry; Limit-cycles; Nonlinear control systems; Nonlinear systems; Robust control; Shape control; Transfer functions; USA Councils;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1243437
