Optimality in Event-Triggered Adaptive Control of Uncertain Linear Dynamical Systems

Abstract

In this paper, we propose a unified approach for the design of an event-triggering mechanism (ETM) and a state feedback controller for uncertain linear dynamical systems. The design task is formulated as a problem of finding the optimal control input while maximizing the event-triggering threshold such that a satisfactory system performance in the presence of intermittent feedback is guaranteed. In other words, we present a zero-order-hold (ZOH) and model-based event-triggering schemes along with adaptive optimal controllers which not only regulates the system but also optimizes its performance. The stability and optimality of the closed-loop system are analyzed using Lyapunov theory, and numerical results are provided to substantiate the theoretical claims.

Meeting Name

AIAA Scitech 2019 Forum (2019: Jan. 7-11, San Diego, CA)

Department(s)

Electrical and Computer Engineering

Research Center/Lab(s)

Intelligent Systems Center

Comments

This research is supported in part by the intelligent systems center, Rolla, NSF ECCS #1406533 and CMMI #1547042.

Keywords and Phrases

Aviation; Closed loop systems; Controllers; Dynamical systems; Linear control systems; State feedback; Uncertainty analysis; Adaptive Control; Event-triggering schemes; Linear dynamical systems; Lyapunov theories; Numerical results; Optimal controller; State feedback controller; Unified approach; Adaptive control systems

International Standard Book Number (ISBN)

978-1-62410-578-4

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 German Aerospace Center (DLR), All rights reserved.

Publication Date

01 Jan 2019

Link to Full Text

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