Convergence rate for an approximation approach to \(H_ \infty\)-norm optimization problems with an application to controller order reduction

DOI10.1016/0005-1098(92)90187-KzbMath0781.49020OpenAlexW1970778326MaRDI QIDQ1194989

Yanqun Liu, Kok Lay Teo

Publication date: 20 October 1992

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(92)90187-k

zbMATH Keywords

convergence rateapproximation approachconstrained \(H_ \infty\)-norm optimizationfrequency weighted controller order reduction

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) (H^infty)-control (93B36)

Related Items (1)

A new computational method for the functional inequality constrained minimax optimization problem

Uses Software

• NLPQL

Cites Work

• Nondifferentiable optimization algorithm for designing control systems having singular value inequalities
• Another balanced controller reduction algorithm
• Coprime factorization controller reduction with Bezout identity induced frequency weighting
• Controller reduction: concepts and approaches
• Controller reduction via stable factorization and balancing
• Recursive algorithm for the computation of the H/sup infinity /-norm of polynomials
• Multivariable feedback design: Concepts for a classical/modern synthesis
• On the solution of singular value inequalities over a continuum of frequencies
• A constrained H^∞ smooth optimization technique

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