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Robust eigenstructure assignment combining time‐ and frequency‐domain performance specifications
Author(s) -
Liu G. P.,
Patton R. J.
Publication year - 1998
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/(sici)1099-1239(199801)8:1<61::aid-rnc310>3.0.co;2-s
Subject(s) - robustness (evolution) , frequency domain , control theory (sociology) , parametric statistics , multivariable calculus , eigenvalues and eigenvectors , robust control , computer science , assignment problem , mathematical optimization , algorithm , mathematics , control system , control engineering , engineering , control (management) , artificial intelligence , computer vision , biochemistry , chemistry , statistics , physics , electrical engineering , quantum mechanics , gene
This paper is concerned with robust eigenstructure assignment for multivariable systems. It combines time‐domain performance specifications provided by eigenstructure assignment and robust performance specifications in the frequency domain considered by H ∞ control to realize joint optimal robust control design. A unified parametric solution for state‐feedback eigenstructure assignment is derived for both the case where the sets of closed‐ and open‐loop eigenvalues do not intersect and the case where these sets do intersect. This is based on a set of free parameters. All complex operations are converted into the real field so that the algorithm which is developed for the controller design can be easily implemented on computers. It uses a robustness index defined in the frequency domain as the cost function to be optimized. The analytical gradient calculation of the cost function with respect to the free parameters is given. Using gradient‐based optimization, the robustness index is minimized by making full use of the freedom provided by eigenstructure assignment. © 1998 John Wiley & Sons, Ltd.