A linear matrix inequality approach to synthesizing low-order suboptimal mixed \(\ell_1/{\mathcal H}_p\) controllers

DOI10.1016/S0005-1098(00)00005-4zbMath0969.93012OpenAlexW31570985MaRDI QIDQ1571076

J. Bu, Mario Sznaier

Publication date: 11 September 2000

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(00)00005-4

zbMATH Keywords

upper bounds\(H_\infty\) controllinear matrix inequalitydiscrete-time linear systemsfeedback controlline searchparallel optimization\(H_2\) normsuboptimal controllers

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Design techniques (robust design, computer-aided design, etc.) (93B51) Discrete-time control/observation systems (93C55) (H^infty)-control (93B36)

Related Items (7)

Simple structures in problems of control theory: formalization and synthesis ⋮ Fault-accommodation with intelligent sensors ⋮ Tight computationally efficient approximation of matrix norms with applications ⋮ An optimization framework for the design of noise shaping loop filters with improved stability properties ⋮ Convex optimization approaches to robust \({\mathcal L}_{1}\) fixed-order filtering for polytopic systems with multiple delays ⋮ Robustℓ₁performance analysis for linear systems with parametric uncertainties ⋮ Design of simple robust controllers for time-invariant dynamic systems

Cites Work

• Mixed time/frequency-domain based robust identification
• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• Mixed \({\mathcal H}_ 2/{\mathcal H}_{\infty}\) control for discrete-time systems via convex optimization
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• A linear matrix inequality approach to H_∞ control
• Mixed l/sub 1//H/sub ∞/ control of MIMO systems via convex optimization
• A linear matrix inequality approach to peak-to-peak gain minimization

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