2020
DOI: 10.1007/s11432-019-2680-1
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Adaptive event-triggered control for a class of nonlinear systems with periodic disturbances

Abstract: This paper investigates the adaptive event-triggered control problem for a class of nonlinear systems subject to periodic disturbances. To reduce the communication burden, a reliable relative threshold strategy is proposed. Fourier series expansion and radial basis function neural network are combined into a function approximator to model suitable time-varying disturbed function of known periods in strict-feedback systems. By combining the Lyapunov stability theory and the backstepping technique, the proposed … Show more

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Cited by 246 publications
(60 citation statements)
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“…Illustrative examples have been presented to confirm the usefulness of the proposed control approach. In our future work, the tracking control of uncertain nonlinear MASs using fuzzy sliding mode, 62 adaptive neural network 63 or event‐triggered protocol 64‐67 will be an interesting topic to be investigated deeply.…”
Section: Resultsmentioning
confidence: 99%
“…Illustrative examples have been presented to confirm the usefulness of the proposed control approach. In our future work, the tracking control of uncertain nonlinear MASs using fuzzy sliding mode, 62 adaptive neural network 63 or event‐triggered protocol 64‐67 will be an interesting topic to be investigated deeply.…”
Section: Resultsmentioning
confidence: 99%
“…Theorem 4. For nominal system (10 ) and modified cost function (11 ), the associated event-triggered approximate optimal controller is given in (49 ). Meanwhile, the critic NN weights update law is designed as (54 ) and the dynamic event-triggered condition is designed as follows:…”
Section: Stability Analysismentioning
confidence: 99%
“…Due to the universality of non-linear system in practical application, the control problem of non-linear system has always been a research hotspot in the past few decades. And as well known, backstepping technique is one of the powerful tools for analysis and control for non-linear systems [1][2][3][4][5][6]. More details, in [7][8][9][10][11], with the help of backstepping technique, the output feedback, stabilisation control and stability issues of stochastic systems were considered.…”
Section: Introductionmentioning
confidence: 99%