A PD-type iterative learning control for a class of switched discrete-time systems with model uncertainties and external noises
type: Item
instance of: scholarly article
title: A PD-type iterative learning control for a class of switched discrete-time systems with model uncertainties and external noises
zbMATH Open document ID: 1418.68183
DOI: 10.1155/2015/410292
author: Xuan Yang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: A PD-type iterative learning control algorithm is applied to a class of linear discrete-time switched systems for tracking desired trajectories. The application is based on assumption that the switched systems repetitively operate over a finite time interval and the switching rules are arbitrarily prespecified. By taking advantage of the super-vector approach, a sufficient condition of the monotone convergence of the algorithm is deduced when both the model uncertainties and the external noises are absent. Then the robust monotone convergence is analyzed when the model uncertainties are present and the robustness against the bounded external noises is discussed. The analysis manifests that the proposed PD-type iterative learning control algorithm is feasible and effective when it is imposed on the linear switched systems specified by the arbitrarily preset switching rules. The attached simulations support the feasibility and the effectiveness.
Mathematics Subject Classification ID: 68T05
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C30
zbMATH DE Number: 7025346
Wikidata QID: Q59105877
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/410292
OpenAlex ID: W1492733937
cites work: On the global asymptotic stability of switched linear time-varying systems with constant point delays
cites work: Asymptotic disturbance attenuation properties for uncertain switched linear systems
cites work: Delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay
cites work: Delay-dependent stability analysis and synthesis for uncertain impulsive switched system with mixed delays
cites work: Design of switching sequences for controllability realization of switched linear systems
cites work: Controllability of switched bilinear systems
cites work: Nonlinear norm-observability notions and stability of switched systems
cites work: Optimal Control of Switched Systems Based on Parameterization of the Switching Instants
cites work: Dissipativity-Based Sliding Mode Control of Switched Stochastic Systems
cites work: Finite-time \(H_{\infty }\) control for a class of discrete-time switched time-delay systems with quantized feedback
cites work: Stability analysis of high-order iterative learning control for a class of nonlinear switched systems
cites work: Convergence Properties of Iterative Learning Control Processes in the Sense of the Lebesgue‐P Norm
cites work: Iterative learning control. Robustness and monotonic convergence for interval systems.
cites work: Approximate adjoint-based iterative learning control
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description: scientific article; zbMATH DE number 7025346