Analysis and evaluation of the relative gains for nonlinear systems

Abstract By beginning with the most general implicit relationships between the controlled variables and the manipulated variables of a control system, formulas for computing the relative gain are developed. This approach leads to a more comprehensive analysis and consequently a better understanding of the conditions responsible for infinite relative gains. Also, the use of the Jacobian method of determinants to minimize the number of computer solutions required to evaluate the elements of the relative gain matrix is demonstrated by use of a numerical example.