Design of Time-Varying Output Feedback Controllers to Meet Time and Gain Constraints

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. Three parameters are used to compromise among constraints on process input norm, maximum excursion of state components and speed of response. Conditions are developed to examine whether or not a regulation accuracy specification can be met with a class of time-varying gain-constrained observer-controllers. Using this class of compensators, the time required to drive the system´s state from any initial state to a prescribed region is estimated. Numerical simulation studies demonstrate the procedure.