MIMO Input-Output Linearization with Applications for Longitudinal Flight Dynamics

Thumbnail Image

Files

2205.06192.pdf (378.91 KB)

Links to Files

https://arxiv.org/abs/2205.06192

Permanent Link

https://doi.org/10.48550/arXiv.2205.06192
 http://hdl.handle.net/11603/25036

Collections

UMBC Mechanical Engineering Department
UMBC Faculty Collection
UMBC Student Collection

Author/Creator

Author/Creator ORCID

https://orcid.org/0000-0002-4146-6275

Date

2022-05-12

Type of Work

journal articles
preprints
Text

Department

Program

Citation of Original Publication

Rights

This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)

Subjects

Abstract

This paper presents an extension of the input-output linearization method for nonsquare systems with more outputs than inputs. Unlike the square systems and nonsquare systems with fewer outputs than inputs, which can be completely linearized, we consider the problem of linearizing nonsquare systems with more outputs than inputs. In particular, the system is linearized by decomposing the state using a diffeomorphism, which is chosen such that the output of the system is a linear combination of the outputs of integrator chains, and the input of the system is chosen to cancel the nonlinearities using feedback linearization. In the case of nonsquare systems with more outputs than inputs, we observe that the resulting linear system can be stabilized even though it is uncontrollable at all times. This apparent contradiction is due to the switching behavior in the control action. We apply the input-output linearization method to linearize the longitudinal aircraft dynamics and demonstrate asymptotic stability of the closed-loop system despite the switching behavior.