The Design of Gain-Constrained Linear Feedback Controllers

A linear observer-controller is developed to implement regulation of a linear system where a priori constraints are specified on the controller and observer gain matrices. The compensator's gain matrices are generated through the solution of matrix differential equations. Conditions are developed to examine whether or not a regulation accuracy specification can be met with a class of constant gain-constrained observer-controllers. Using this class of compensators, the time required to drive the system's state from any given initial state to a prescribed region is estimated. A numerical simulation study demonstrates the procedure.