The infinite time near optimal decentralized regulator problem for singularly perturbed systems: A convex optimization approach

DOI10.1016/S0005-1098(02)00035-3zbMath1008.93054OpenAlexW2070756668MaRDI QIDQ1614406

Jacques Bernussou, Jamal Daafouz, Germain Garcia

Publication date: 5 September 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(02)00035-3

zbMATH Keywords

convex optimizationdecentralized controllinear matrix inequalitysingular perturbationslinear quadratic control problemspole placement problems

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Time-scale analysis and singular perturbations in control/observation systems (93C70) Decentralized systems (93A14) Pole and zero placement problems (93B55) Linear-quadratic optimal control problems (49N10)

Related Items (11)

The infinite time near optimal decentralized regulator problem for singularly perturbed systems: A convex optimization approach ⋮ Control design with guaranteed cost for synchronization in networks of linear singularly perturbed systems ⋮ Decentralized dynamic output feedback for robust stabilization of a class of nonlinear interconnected systems ⋮ \(H_\infty\) control for fast sampling discrete-time singularly perturbed systems ⋮ Discussion on: ``\(H_{2}/H_{\infty}\) control of singularly perturbed systems: the state feedback case ⋮ Switched system modeling and robust steering control of the tail end phase in a hot strip mill ⋮ Synchronization via output feedback for multi-agent singularly perturbed systems with guaranteed cost ⋮ Robust sampled-dataH_∞control of uncertain singularly perturbed systems using time-dependent Lyapunov functionals ⋮ \(H_\infty\) control design for fuzzy discrete-time singularly perturbed systems via slow state variables feedback: an LMI-based approach ⋮ Robust stabilization of nonlinear interconnected systems by decentralized dynamic output feedback ⋮ \(H^{\infty}\) control for fuzzy singularly perturbed systems

Uses Software

• LMI toolbox

Cites Work

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• Qualitative analysis of large scale dynamical systems
• Optimal decentralized control of dynamic systems
• The infinite time near optimal decentralized regulator problem for singularly perturbed systems: A convex optimization approach
• Pole assignment of linear uncertain systems in a sector via a Lyapunov-type approach
• The robust decentralized control of a general servomechanism problem
• Survey of decentralized control methods for large scale systems
• An alternate numerical solution to the linear quadratic problem

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