Linear-quadratic and \(\gamma \)-optimal output control laws

DOI10.1134/S0005117908060027zbMath1156.49028MaRDI QIDQ1002973

Mark M. Kogan, Dmitry V. Balandin

Publication date: 26 February 2009

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

linear-quadratic controlexistence of the optimal controllerslinear dynamic output controllers

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Linear-quadratic optimal control problems (49N10)

Related Items (15)

Optimization of linear systems subject to bounded exogenous disturbances: the invariant ellipsoid technique ⋮ Optimal linear-quadratic control: from matrix equations to linear matrix inequalities ⋮ Pareto suboptimal controllers against coalitions of disturbances ⋮ Design of optimal control under uncertain initial conditions: a minimax approach ⋮ Linear matrix inequalities in control systems with uncertainty ⋮ Minimax filtering: \(\gamma_0\)-optimal observers and generalized \(H_\infty\)-optimal filters ⋮ Generalized \(H_\infty\)-optimal control as a trade-off between the \(H_\infty\)-optimal and \(\gamma\)-optimal controls ⋮ Quadratic stabilization of bilinear systems: linear dynamical output feedback ⋮ Design of generalized discrete-time \(H_\infty\)-optimal control over finite and infinite intervals ⋮ The generalized \(H_\infty\)-norm in the analysis and design of robust control systems ⋮ Optimal stabilization of bodies in electromagnetic suspensions without measurements of their location ⋮ Finite time control for one class of nonlinear systems with the \(H_\infty\) performance criterion ⋮ Optimal damping of perturbations in a system with unknown initial conditions ⋮ Multicriteria robust generalized \(H_2\) and \(\gamma_0\) controllers with application to stabilization of a rotor in electromagnetic bearings ⋮ Suppression of bounded exogenous disturbances: a linear dynamic output controller

Uses Software

• Matlab
• LMI toolbox
• Control System Toolbox

Cites Work

• Unnamed Item
• Synthesis of linear quadratic control laws on basis of linear matrix inequalities
• Optimal linear quadratic control in the class of output feedbacks
• A linear matrix inequality approach to H_∞ control
• Linear Matrix Inequalities in System and Control Theory

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