Two-Stage Multirate Feedback Control Designs

This chapter addresses the challenges of feedback control design for systems with slow and fast eigenvalue modes using a single sampling rate, which can lead to information loss or increased computations. The study introduces multirate state feedback controllers, demonstrating that for linear time-invariant systems with slow and fast eigenvalue modes, successful design can be achieved through two-stage multirate sampling. Two approaches are presented based on the sampling sequence, with proof that the feedback controls derived stabilize the full-order system. The chapter compares the design and implementation aspects of both approaches and demonstrates the proposed control’s applicability through simulations.