1989 Volume 2 Issue 12 Pages 414-421
The linear optimal regulators in linear mathematical models of physical systems have proved useful in numerous technical applications, although most differential equations describing the actual system behavior are generally nonlinear. However, a nonlinear optimal regulator is necessary in the inherent nonlinear system which shows remarkable nonlinearity.
In this paper we propose a new method, using a Liapunov function, which both asymptotically stabilize the nonlinear system and minimizes a certain cost function. This method is considered to be an extension of the optimal regulator which uses a quadratic cost function.
We confirm the validity of this method by applying it to the transient stability control of a generator in a power system.