A new approach to the design of dynamic output feedback stabilizers for LTI systems

Abstract

We present a new state-space approach for designing a dynamic output feedback control law which stabilizes a class of linear time invariant systems. All the states of the given system are not measurable and only the output is used to design the stabilizing control law. In the design scheme, however, we first assume that the given system can be stabilized by a feedback law composed of the output and its derivatives of a certain order. Beginning with this assumption, we systematically construct a dynamic system which removes the need of the derivatives. The actual order of the constructed dynamic feedback controller is the dimension of the output times the order of derivatives that are necessary. Therefore, it may be useful for order reduction of dynamic controllers. A set-point regulation problem for a magnetic levitation system is also solved without using the velocity measurement.