CLOSED FORMULAE FOR THE GENERALIZED ℋ∞ SENSITIVITY MINIMIZATION PROBLEM

✍ Scribed by Keith G. Woodgate

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 258 KB
• Volume: 7
• Category: Article
• ISSN: 1049-8923
• DOI: 10.1002/(sici)1099-1239(199701)7:1<29::aid-rnc200>3.0.co;2-e

✦ Synopsis

The paper presents a complete solution for the multivariable, continuous-time Generalized H (GH ) 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.