Work

Constructing Feedback Linearizable Discretizations for Continuous-Time Systems Using Retraction Maps

Year: 2023

Type: article

Abstract: Control laws for continuous-time dynamical systems are most often implemented via digital controllers using a sample-and-hold technique. Numerical discretization of the continuous system is an integral part of subsequent analysis. Feedback linearizability of such sampled systems is dependent upon the choice of discretization map or technique. In this article, for feedback linearizable continuous-time systems, we utilize the idea of retraction maps to construct discretizations that are feedback linearizable as well. We also propose a method to functionally compose discretizations to obtain higher-order integrators that are feedback linearizable.

Source: IEEE Control Systems Letters

DOI: 10.1109/lcsys.2023.3286992

Authors: Ashutosh Jindal, Ravi Banavar, David Martín Diego

Institutions: Indian Institute of Technology Bombay, Universidad Complutense de Madrid, Consejo Superior de Investigaciones Científicas, Universidad Carlos III de Madrid, Universidad Autónoma de Madrid

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia e Innovación, Indian Institute of Technology Bombay

Awards: G1701110065, G2967504892, G301158970, G3690828678, G5845768719