An explicit MPC for quadrotor trajectory tracking

Cunjia Liu, Hao Lu, Wen Hua Chen

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

22 Citations (Scopus)

Abstract

This paper intends to provide an explicit solution of model predictive control (MPC) for trajectory tracking of quadrotors. This kind of MPC can be designed in a conventional way where a nonlinear optimisation problem needs to be solved online. In this paper by using the differential flatness property of the quadrotor, the reference trajectory, system outputs and inputs can be represented using Bezier curves. Thus, the formulated optimisation problem can be parameterised and converted into standard quadratic programming. The resulted quadratic programming problem can be further formulated into multiparametric quadratic programming which is then solved off-line as a piecewise affine function. The involved manipulations including the reduction of the number of optimisation variables and constraints are detailed in this paper. The performance of the proposed control scheme is demonstrated in a simulation study.

Original languageEnglish
Title of host publicationProceedings of the 34th Chinese Control Conference, CCC 2015
EditorsQianchuan Zhao, Shirong Liu
PublisherIEEE Computer Society
Pages4055-4060
Number of pages6
ISBN (Electronic)9789881563897
DOIs
Publication statusPublished - 11 Sept 2015
Event34th Chinese Control Conference, CCC 2015 - Hangzhou, China
Duration: 28 Jul 201530 Jul 2015

Publication series

NameChinese Control Conference, CCC
Volume2015-September
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference34th Chinese Control Conference, CCC 2015
Country/TerritoryChina
CityHangzhou
Period28/07/1530/07/15

Keywords

  • flight control
  • Model predictive control
  • multi-parametric programming
  • trajectory tracking

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modelling and Simulation

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