BANG‐BANG CONTROL OF A SECOND‐ORDER NON‐LINEAR UNSTABLE PLANT WITH SECOND‐ORDER NONLINEARITY

Abstract

In this paper the design of a controller for a relay‐controlled second‐order non‐linear unstable plant with second‐order nonlinearity will be considered. The task of the controller is the simultaneous reduction of output and output derivative to zero with the input being at zero. If the initial values of error and error derivative fall in a “controllable region”, then it is possible to reduce error and error derivative to zero, simultaneously and in the shortest possible time with at most “one” switching reversal of the relay. It will also be shown that, through simple transformation of error and error derivative, the equation of switching curve can be made independent of any constant gain of the plant, as well as the coefficient of non‐linear term.

Citation

VAKILZADEH, I. and KESHAVARZ, A.A. (1982), "BANG‐BANG CONTROL OF A SECOND‐ORDER NON‐LINEAR UNSTABLE PLANT WITH SECOND‐ORDER NONLINEARITY", Kybernetes, Vol. 11 No. 4, pp. 275-278. https://doi.org/10.1108/eb005629