A Structural Condition for Model Reference Adaptive Control Systems to Enforce Partial Performance Constraints

Abstract

A fundamental challenge in model reference adaptive control synthesis is to achieve a- priori, user-defined performance guarantees. To this end, a new architecture entitled set- theoretic model reference adaptive control has been recently developed, where the key feature of this control synthesis methodology is to allow the weighted Euclidean norm of the system error vector, which represents the error between the state vector of an uncertain dynamical system and the state vector of a reference model (capturing a desired closed-loop system performance), to be less than a-priori, user-defined scalar performance bound. Although this architecture has the capability to enforce performance constraints on the entire system error vector, this vector can contain, for example, system error states resulting from internal compensator dynamics or simply a subset of vehicle dynamics that one does not necessarily need to enforce any performance constraints. Motivated from this standpoint, this paper presents a structural condition that allows the set-theoretic model reference adaptive control architecture to enforce partial performance constraints — enforcing performance constraints to a desired subset of the system error vector when this condition holds. An illustrative numerical example is also presented on an aircraft short period dynamics to complement the proposed theoretical contribution.

Meeting Name

2018 AIAA Guidance, Navigation, and Control Conference, AIAA SciTech Forum, MGNC 2018 (2018: Jan. 8-12, Kissimmee, FL)

Department(s)

Mechanical and Aerospace Engineering

Comments

This research was supported by the National Aeronautics and Space Administration under Grant NNX15AM51A.

Keywords and Phrases

Aviation; Closed loop systems; Computer architecture; Control system synthesis; Dynamical systems; Dynamics; Errors; Fighter aircraft; Flight control systems; Navigation; Vectors; Performance bounds; Performance constraints; Performance guarantees; Set-theoretic models; Structural condition; Uncertain dynamical systems; User Defined Scalars; Weighted euclidean; Model reference adaptive control

International Standard Book Number (ISBN)

978-1-62410-526-5

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 American Institute of Aeronautics and Astronautics (AIAA), All rights reserved.

Publication Date

01 Jan 2018

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