Discrete-Time Two-Stage Feedback Controller Design

  • Verica Radisavljevic-Gajic
  • Milos Milanovic
  • Patrick Rose
Part of the Mechanical Engineering Series book series (MES)


In this chapter the two-stage feedback controller design for linear discrete-time control systems is presented by following the results of Radisavljevic-Gajic (2015a), Sect. 3.1. The design algorithm is specialized and simplified for linear systems with slow and fast modes, known as singularly perturbed linear discrete-time systems. Since there are two formulations of discrete-time singularly perturbed systems, the results are presented for both of them as discussed in Radisavljevic-Gajic (2015a, b), Sects. 3.2 and 3.3. The conditions needed for applicability of the presented two-stage design in two time scales are established. The proposed two-stage feedback controller design procedure and its very high accuracy were demonstrated on the eigenvalue assignment problem and the mixed linear-quadratic optimal controller/eigenvalue assignment controller problem for the steam power system, hydropower system, and proton exchange membrane fuel cell.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Verica Radisavljevic-Gajic
    • 1
  • Milos Milanovic
    • 1
  • Patrick Rose
    • 1
  1. 1.Department of Mechanical EngineeringVillanova UniversityVillanovaUSA

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