Optimal Disturbance Rejection in Time-Varying Linear Systems

In this paper a method is proposed for the optimal design of regulators and observers from the disturbance rejection point of view. For a given set of system parameters, we obtain a measure of the disturbance rejection capacity of the system or observer. optimization routines need to be employed to select control or observer gains which maximize the disturbance rejection capacity. The general case of time-varying linear systems is considered and time-domain techniques are employed. An example is given to illustrate the methodology.