Regulation and Tracking in Linear Systems

  • Alberto IsidoriEmail author
Part of the Advanced Textbooks in Control and Signal Processing book series (C&SP)


In this chapter, we will study in some generality the problem of designing a feedback law to the purpose of making a controlled plant stable, and securing exact asymptotic tracking of external commands (respectively, exact asymptotic rejection of external disturbances) which belong to a fixed family of functions. The problem in question can be seen as a (broad) generalization of the classical set point control problem in the elementary theory of servomechanisms.


Internal Model Negative Real Part Minimal Polynomial Output Regulation Robust Controller 
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  1. 1.
    B.A. Francis, The linear multivariable regulator problem. SIAM J. Control Optim. 14, 486–505 (1976)MathSciNetGoogle Scholar
  2. 2.
    B. Francis, O.A. Sebakhy, W.M. Wonham, Synthesis of multivariable regulators: the internal model principle. Appl. Math. Optim. 1, 64–86 (1974)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    E.J. Davison, The robust control of a servomechanism problem for linear time-invariant multivariable systems. IEEE Trans. Autom. Control 21, 25–34 (1976)MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    B.A. Francis, M.W. Wonham, The internal model principle of control theory. Automatica 12, 457–465 (1977)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    A. Serrani, A. Isidori, L. Marconi, Semiglobal nonlinear output regulation with adaptive internal model. IEEE Trans. Autom. Control, AC 46, 1178–1194 (2001)MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    H. Köroglu, C.W. Scherer, An LMI approach to \(H_\infty \) synthesis subject to almost asymptotic regulation constraints. Syst. Control Lett. 57, 300–308 (2008)CrossRefzbMATHGoogle Scholar
  7. 7.
    J. Abedor, K. Nagpal, P.P. Khargonekar, K. Poolla, Robust regulation in the presence of norm-bounded uncertainty. IEEE Trans. Autom. Control 40, 147–153 (1995)MathSciNetCrossRefzbMATHGoogle Scholar
  8. 8.
    H. Köroglu, C.W. Scherer, Scheduled control for robust attenuation of non-stationary sinusoidal disturbances with measurable frequencies. Automatica 47, 504–514 (2011)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Dipartimento di Ingegneria Informatica, Automatica e GestionaleUniversità degli Studi di Roma “La Sapienza”RomeItaly

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