Static output feedback control for periodically time-varying systems

Most control designs for periodically time-varying systems use either full-state feedback or observer-based state feedback. In this paper, it is shown that static output feedback is sufficient for the exponential stabilization of a periodical system under both the controllability and observability assumptions. In fact, by incorporating a new generalized hold function in the control design, one is able to arbitrarily shift all the Poincare exponents of the periodical system. Most importantly, the control signal is guaranteed to be continuous in time while the control signal from previous designs may be discontinuous.