MIMO, x Observed, w = 0

  • Paolo Caravani


Although assignment and stabilization problems discussed in the SISO case can be formulated and solved for MIMO systems, this extension requires discussion of deeper algebraic-geometric concepts making the controller design less direct: machine computation and coding is ultimately required. In most practical situations, on the other hand, assigning precise values to the closed-loop eigenvalues is not strictly necessary, being sufficient to prescribe their membership to certain subsets of the complex plane (for example, the unit circle in the discrete-time case). For this reason in the MIMO case we prefer to reformulate the problem with the use of modern optimization tools [2] that are computationally very efficient and allow to address design aspects like constraints on input and output variables that would be impossible to deal with by assignment-based methods.


Lyapunov Function Asymptotic Stability Linear Matrix Inequality Common Lyapunov Function Positive Invariance 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Paolo Caravani
    • 1
  1. 1.Electrical and Information EngineeringDEWS - University of L’AquilaL’Aquila (AQ)Italy

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