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Event-Triggered Model-Free Adaptive Iterative Learning Control for a Class of Nonlinear Systems Over Fading Channels

Xuhui Bu, Wei Yu, Qiongxia Yu, Zhongsheng Hou, Junqi Yang

2021IEEE Transactions on Cybernetics123 citationsDOI

Abstract

This article investigates the problem of event-triggered model-free adaptive iterative learning control (MFAILC) for a class of nonlinear systems over fading channels. The fading phenomenon existing in output channels is modeled as an independent Gaussian distribution with mathematical expectation and variance. An event-triggered condition along both iteration domain and time domain is constructed in order to save the communication resources in the iteration. The considered nonlinear system is converted into an equivalent linearization model and then the event-triggered MFAILC independent of the system model is constructed with the faded outputs. Rigorous analysis and convergence proof are developed to verify the ultimately boundedness of the tracking error by using the Lyapunov function. Finally, the effectiveness of the presented algorithm is demonstrated with a numerical example and a velocity tracking control example of wheeled mobile robots (WMRs).

Topics & Concepts

FadingControl theory (sociology)Nonlinear systemLyapunov functionComputer scienceFeedback linearizationConvergence (economics)Iterative learning controlLinearizationGaussianTracking errorAdaptive controlMathematical optimizationMathematicsAlgorithmArtificial intelligenceControl (management)Economic growthEconomicsPhysicsQuantum mechanicsDecoding methodsIterative Learning Control SystemsAdvanced Control Systems OptimizationAdaptive Control of Nonlinear Systems