Generalized \(\mathcal{H}_2\) control of a linear continuous-discrete system on a finite horizon

DOI10.1134/S0005117920080032zbMath1454.93117MaRDI QIDQ828527

Ruslan S. Biryukov

Publication date: 9 January 2021

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

zbMATH Keywords

optimal controlmultiobjective optimizationgeneralized \(\mathcal{H}_2\) normlinear time-varying hybrid system

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (1)

State estimation and stabilization of nonlinear systems with sampled-data control and uncertain disturbances

Cites Work

• \({\mathcal H}_ 2\) optimal control for sampled-data systems
• Upper/lower bounds of generalized \(H_2\) norms in sampled-data systems with convergence rate analysis and discretization viewpoint
• Pareto optimal generalized \(H_2\)-control and vibroprotection problems
• The generalized \(H_ 2\) control problem
• Optimal control of maximum output deviations of a linear time-varying system on a finite horizon
• Minimax control of deviations for the outputs of a linear discrete time-varying system
• Finite-horizon multi-objective generalized \(H_2\) control with transients
• Extensive theoretical/numerical comparative studies on H ₂ and generalised H ₂ norms in sampled-data systems
• Convolution and Hankel operator norms for linear systems
• An LQR weight selection approach to the discrete generalized H2 control problem

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