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CLOSED FORMULAE FOR THE GENERALIZED ℋ︁ ∞ SENSITIVITY MINIMIZATION PROBLEM
Author(s) -
Woodgate Keith G.
Publication year - 1997
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(199701)7:1<29::aid-rnc200>3.0.co;2-e
Subject(s) - sensitivity (control systems) , minification , mathematics , mathematical optimization , computer science , engineering , electronic engineering
The paper presents a complete solution for the multivariable, continuous‐time Generalized ℋ ∞ (ℋ ∞ ) sensitivity minimization problem. In contrast with existing solutions, derived via polynomial methods, the state‐space solution given here is essentially non‐iterative. Closed formulae for the minimum and a particular optimal controller are derived in terms of a real Schur decomposition, the solution of two Lyapunov equations and a single, well‐conditioned eigenvalue problem. © 1997 by John Wiley & Sons, Ltd.