Method Of Controlling A Dynamic Physical System That Exhibits A Chaotic Behaviour

摘要

A method of controlling a dynamic physical system comprising a plurality of variable quantities. A model of the system comprising a plurality of variables representing the variable quantities, and a plurality of respective rate equations that describe the rate of change of the variables, is obtained. A control term in at least one rate equation from the plurality of rate equations is identified. A rate control function is derived from, for at least one of the variables in the rate equation, the proportion of the variable to the growth rate of the rate equation, and the rate control function is applied to the control term to provide a stabilised control term. The dynamic physical system is then controlled by modifying at least one of the quantities represented by the variables in the control term, so that the control term derived from the modified quantities is substantially the same as the stabilised control term.

主权项

1. A method of controlling a dynamic physical system, wherein the system comprises a plurality of variable quantities, the method comprising the steps of:
obtaining a model of the system, the model comprising a plurality of variables representing the variable quantities, and a plurality of respective rate equations that describe the rate of change of the variables; identifying a control term in at least one rate equation from the plurality of rate equations; deriving a rate control function from, for at least one of the variables in the rate equation, the proportion of the variable to the growth rate of the rate equation; applying the rate control function to the control term to provide a stabilised control term; and controlling the dynamic physical system by modifying at least one of the quantities represented by the variables in the control term, so that the control term derived from the modified quantities is substantially the same as the stabilised control term.