Lyapunov function method for control law synthesis under one integral and several phase constraints

DOI10.1134/S001226610905005XzbMath1171.93017OpenAlexW2045044340MaRDI QIDQ731531

Mark M. Kogan, Dmitry V. Balandin

Publication date: 8 October 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226610905005x

zbMATH Keywords

Lyapunov functionlinear matrix inequalitiessynthesis of linear control

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Linear systems in control theory (93C05) Synthesis problems (93B50) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

Stabilization of linear dynamic objects according to the measured-error state under constraints on the phase and control variables ⋮ Large deviations for non-zero initial conditions in linear systems ⋮ Linear matrix inequalities in control systems with uncertainty ⋮ Upper bounds on peaks in discrete-time linear systems ⋮ Estimates of the attraction domain of linear systems under \(L_2\)-bounded control ⋮ Large deviations in linear control systems with nonzero initial conditions ⋮ Control of dynamical plants with a guarantee for the controlled signal to stay in a given set

Uses Software

• Matlab
• LMI toolbox
• Control System Toolbox

Cites Work

• Stabilization by a linear feedback under phase constraints
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