KYP lemma based stability and control law design for differential linear repetitive processes with applications

DOI10.1016/j.sysconle.2013.03.010zbMath1277.93067OpenAlexW2149693602WikidataQ125028758 ScholiaQ125028758MaRDI QIDQ386238

Wojciech Paszke, Eric Rogers, Krzysztof Gałkowski

Publication date: 9 December 2013

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

Full work available at URL: https://eprints.soton.ac.uk/350727/1/sclwoj6.pdf

zbMATH Keywords

stabilityKalman-Yakubovich-Popov lemmacontrol law designdesign of iterative learning controldifferential linear repetitive processes

Mathematics Subject Classification ID

Popov-type stability of feedback systems (93D10) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

Stability and robust stabilization of 2-D continuous-discrete systems in Roesser model based on KYP lemma ⋮ New relaxed stability and stabilization conditions for both discrete and differential linear repetitive processes ⋮ Robust iterative learning control in finite frequency ranges for differential spatially interconnected systems ⋮ Robust PD-type iterative learning control for discrete systems with multiple time-delays subjected to polytopic uncertainty and restricted frequency-domain ⋮ Closed-form solutions of singular KYP lemma: strongly passive systems, and fast lossless trajectories ⋮ Finite frequency range robust iterative learning control of linear discrete system with multiple time-delays ⋮ Adaptive \(H_\infty\) control in finite frequency domain for uncertain linear systems

Cites Work

• Frequency domain Lyapunov equations and performance bounds for differential linear repetitive processes
• Kronecker product based stability tests and performance bounds for a class of 2D continuous-discrete linear systems
• Control systems theory and applications for linear repetitive processes.
• On the Kalman-Yakubovich-Popov lemma
• Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics
• Multi-machine operations modelled and controlled as switched linear repetitive processes
• A linear matrix inequality approach to H_∞ control
• Generalized KYP lemma: unified frequency domain inequalities with design applications
• Two-dimensional analysis of an iterative nonlinear optimal control algorithm

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