State-Feedback Implementation of Cascade Compensators

  • Alberto Isidori
  • A. S. Morse
Conference paper
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 83)


For a general dynamical system Σ and cascade compensation conditions are developed for the existence of a state-feedback law F which when applied to Σ causes the result-ing closed-loop system ΣF to exhibit the same input-output behavior as the cascade connection of Σ with . For a controllable, observable linear system Σ with transfer matrix TΣ, it is shown that an invertible linear cascade compensator with transfer matrix . can be implemented with state feedback if and only if the McMillan Degree of TΣ equals the McMillan Degree of .


Linear System Transfer Matrix Realization Theory Cascade Control Invertible State 
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  1. M.L.J. Hautus and M. Heymann, “Linear Feedback - An Algebraic Approach,” SIAM J. Control and Optimization, 16(1), January 1978, pp. 83–105.CrossRefMathSciNetGoogle Scholar
  2. A.S. Morse, “System Invariants Under Feedback and Cascade Control,” Proc. Int. Symp. on Math. Syst. Theory, Udine, Italy, 1975, pp. 61–74.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1986

Authors and Affiliations

  • Alberto Isidori
    • 1
  • A. S. Morse
    • 2
  1. 1.Istituto d’AutomaticaUniversita di Roma La SapienzaRomaItalia
  2. 2.Dept. of Electrical EngineeringYale UniversityUSA

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