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Control of discrete-time nonlinear systems via finite-step control Lyapunov functions

Title data

Noroozi, Navid ; Geiselhart, Roman ; Grüne, Lars ; Wirth, Fabian:
Control of discrete-time nonlinear systems via finite-step control Lyapunov functions.
Bayreuth , 2019 . - 11 p.

Official URL: Volltext

Project information

Project title:
Project's official titleProject's id
Humboldt Fellowship for Navid NorooziNo information

Project financing: Alexander von Humboldt-Stiftung

Abstract in another language

In this work, we establish different control design approaches for discrete-time systems, which build upon the notion of finite-step control Lyapunov functions (fs-CLFs). The design approaches are formulated as optimization problems and solved in a model predictive control (MPC) fashion. In particular, we establish contractive multi-step MPC with and without reoptimization and compare it to classic MPC. The idea behind these approaches is to use the fs-CLF as running cost. These new design approaches are particularly relevant in situations where information exchange between plant and controller cannot be ensured at all time instants. An example shows the different behavior of the proposed controller design approaches.

Further data

Item Type: Preprint, postprint
Refereed: Yes
Keywords: Lyapunov methods; model predictive control; discrete-time systems
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne)
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 17 Sep 2019 09:28
Last Modified: 17 Sep 2019 09:28
URI: https://eref.uni-bayreuth.de/id/eprint/52252