Stabilization of discrete linear repetitive processes with switched dynamics

DOI10.1007/s11045-005-6298-2zbMath1118.93037OpenAlexW2130198785MaRDI QIDQ862470

Anton Kummert, Krzysztof Gałkowski, J. Bochniak, Driss Mehdi, Olivier Bachelier, Eric Rogers

Publication date: 24 January 2007

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/264372/1/mult2.pdf

zbMATH Keywords

LMIsRepetitive processesSwitched dynamics

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Discrete event control/observation systems (93C65)

Related Items (5)

Iterative learning control design for switched systems ⋮ A unified framework of convex stability conditions for 2-D switched systems with stable or unstable modes ⋮ Stability and \(l_2\)-gain analysis for 2D discrete switched systems with time-varying delays in the second FM model ⋮ Multi-machine operations modelled and controlled as switched linear repetitive processes ⋮ On ℓ₂–ℓ∞ output-feedback control scheduled by stochastic communication protocol for two-dimensional switched systems

Cites Work

• Stability analysis for linear repetitive processes
• A new robust D-stability condition for real convex polytopic uncertainty
• Predictive optimal iterative learning control
• Internal-model-based design of repetitive and iterative learning controllers for linear multivariable systems
• A non-standard iterative learning control approach to tracking periodic signals in discrete-time non-linear systems
• Time and frequency domain convergence properties in iterative learning control
• Distributed Control of Heterogeneous Systems
• Stability and controllability of a class of 2-D linear systems with dynamic boundary conditions
• LMIs - a fundamental tool in analysis and controller design for discrete linear repetitive processes
• Two-dimensional analysis of an iterative nonlinear optimal control algorithm

This page was built for publication: Stabilization of discrete linear repetitive processes with switched dynamics