Date on Master's Thesis/Doctoral Dissertation

5-2021

Document Type

Master's Thesis

Degree Name

M.S.

Department

Mechanical Engineering

Degree Program

Mechanical Engineering, MS

Committee Chair

Richards, Christopher

Committee Co-Chair (if applicable)

Murphy, Kevin

Committee Member

Murphy, Kevin

Committee Member

Inanc, Tamer

Author's Keywords

MRAC; anti-windup; LPV; quadcopter; system identification; control

Abstract

A novel parameter-dependent anti-windup compensator is developed to improve the performance of a saturation constrained model reference adaptive controller. The combined control structure solves the input saturation and stability problem for inertia varying quadcopters. The control synthesis follows the conventional two-step anti-windup design paradigm where a nominal controller is designed without consideration of the input saturation, and the anti-windup compensator is designed to minimize deviations from nominal performance caused by saturated inputs. To account for varying inertia of the quadcopter during package retrieval/delivery routines, the inertia parameters of the vehicle/package are estimated with an online recursive system identification technique, and these estimates are used to schedule the parameter-dependent anti-windup compensator. The performance and stability conditions of the parameter-dependent anti-windup compensator are formulated as a set of parameter-dependent linear matrix inequalities. When solved, the linear matrix inequalities yield a gain-scheduled anti-windup compensator that ensures stability and minimizes the deviation from nominal model reference adaptive control performance when saturation occurs. The effectiveness of the combined control scheme is demonstrated by simulations of an input constrained quadcopter lifting a payload of unknown mass.

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