Design and Analysis of Event-Triggered Neuro-Adaptive Controller (ETNAC) for Uncertain Systems

Abstract

In this paper, six new event-triggered neuro-adaptive control (ETNAC) schemes are presented for uncertain linear systems. Novelty of this paper lies in (i) the construction of the proposed ETNAC schemes, (ii) the design of event-triggering conditions, and (iii) the design of an observer called the modified state observer (MSO). In the proposed schemes, the MSO, the controller, and the event-triggering mechanisms are constructed and organized in a way such that they provide the control system designer with flexibility to choose between the one-way or two-way data exchange and also between the dynamic or static triggering conditions. The event-triggering conditions are designed on the basis of real performance parameters, such as the estimation/tracking errors that render control updates more on actual system events instead of the often-used extended time sampling. Another unique feature of ETNAC is its online uncertainty approximation capability even during inter-event times, which makes the controller robust and efficient. This part is developed with the help of an artificial neural network (ANN) and a polynomial regression-based MSO. The MSO formulations have two tunable gains, which allow fast uncertainty estimation without inducing high frequency oscillations, even while the system is in a transient state. Lyapunov analysis is used to show the stability of the system as well as to develop the event-triggering conditions. Effectiveness of the proposed controllers is demonstrated using benchmark numerical examples.

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Controllers; Electronic data interchange; Frequency estimation; Linear systems; Neural networks; Polynomial regression; System stability; Uncertain systems; Uncertainty analysis, Approximation capabilities; Design and analysis; High frequency oscillations; Neuro-adaptive control; Neuro-adaptive controllers; Performance parameters; Uncertain linear system; Uncertainty estimation, Adaptive control systems

International Standard Serial Number (ISSN)

0016-0032

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2020 The Franklin Institute, All rights reserved.

Publication Date

28 Apr 2020

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