LMI solution to general \({\mathcal H}_{2}\) suboptimal control problems

DOI10.1016/S0167-6911(98)00102-9zbMath0914.93021MaRDI QIDQ1285728

Takashi Sato, Kang-Zhi Liu

Publication date: 28 April 1999

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

linear matrix inequalitysingular problem\({\mathcal H}_{2}\) controlsuboptimal problem

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) (H^infty)-control (93B36)

Related Items (4)

Generalized asymptotic regulation with guaranteed \({\mathcal H}_2\) performance: a LMI solution ⋮ Observer-based linear parameter-varying control with guaranteed L2-gain and H2-type performance objectives ⋮ Singular ℋ︁₂ control of discrete-time systems: From frequency to time domain ⋮ Revisited LQ output-feedback control: minimax controller for a set of initial states

Cites Work

• An algebraic approach to \(H_{\infty}\) output feedback control problems
• The singular \(H_ 2\) control problem
• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• The robust H/sub 2/ control problem: a worst-case design
• LQG control with an H/sup infinity / performance bound: a Riccati equation approach
• Mixed H/sub 2//H/sub infinity / control: a convex optimization approach
• A linear matrix inequality approach to H_∞ control
• Mixed ℋ/sub 2/ and ℋ/sub ∞/ performance objectives. I. Robust performance analysis
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