\(\ell^ 1\)-optimal control of multivariable systems with output norm constraints

DOI10.1016/0005-1098(91)90080-LzbMath0735.49029OpenAlexW2031868218MaRDI QIDQ1175523

S. Singh

Publication date: 25 June 1992

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(91)90080-l

zbMATH Keywords

linear optimal controlmultivariable control system\(\ell^ 1\)-optimal controloptimal compensatorpolynomial closed loop transfer functionrational plants

Mathematics Subject Classification ID

Linear programming (90C05) Multivariable systems, multidimensional control systems (93C35) Pole and zero placement problems (93B55) Synthesis problems (93B50) Linear optimal control problems (49N05)

Related Items

On optimal \(\ell^ \infty\) to \(\ell^ \infty\) filtering, Decoupled reference governors: a constraint management technique for MIMO systems, Robust pole placement and random disturbance rejection for linear polytopic systems with application to grid-connected converters, Fault-accommodation with intelligent sensors, State feedback \(\ell{}_ 1\)-optimal controllers can be dynamic, MixedH 2/l 1 optimization problems for siso discrete time control systems, Controller design for plants with structured uncertainty, Analysis and design for robust performance with structured uncertainty, On static feedback for the ℓ 1 and other optimal control problems, Convergence of truncates in l 1 optimal feedback control 61, MIMO \(l^ 1\)-optimization with a scalar control, On continuity properties of the two-block \(\ell_{1}\) optimal design.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A course in \(H_{\infty}\) control theory
• Mixed sensitivity minimization problems with rational \(\ell^ 1\)-optimal solutions
• <tex>l^{1}</tex>-optimal feedback controllers for MIMO discrete-time systems
• Upper bounds and approximate solutions for multidisk problems
• Optimal rejection of persistent disturbances, robust stability, and mixed sensitivity minimization
• Poles and zeros of linear multivariable systems : a survey of the algebraic, geometric and complex-variable theory
• Frequency domain synthesis of multivariable linear regulators