English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We develop a model predictive control (MPC) design for systems withdiscrete-time dynamics evolving on smooth manifolds. We show that theproperties of conventional MPC for dynamics evolving on $\mathbb R^n$ arepreserved and we develop a design procedure for achieving similar properties.We also demonstrate that for discrete-time dynamics on manifolds with Eulercharacteristic not equal to 1, there do not exist globally stabilizing,continuous control laws. The MPC law is able to achieve global asymptoticstability on these manifolds, because the MPC law may be discontinuous. Weapply the method to spacecraft attitude control, where the spacecraft attitudeevolves on the Lie group SO(3) and for which a continuous globally stabilizingcontrol law does not exist. In this case, the MPC law is discontinuous andachieves global stability.

MPC on manifolds with an application to the control of spacecraft attitude on SO(3)