Guaranteed constraint satisfaction in continuous-time control problems

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Fernando A. C. C. Fontes (Author) FEUP; Luís Tiago Paiva (Author) FEUP

Journal

Title: IEEE Control Systems Letters

Vol. 3 No. 1

Pages: 13-18

Publisher: IEEE

Indexing

Scopus - 11 Citations

INSPEC

Other information

Authenticus ID: P-00P-286

DOI: 10.1109/lcsys.2018.2849853

Abstract (EN): In the context of continuous-time control systems, we address the problem of guaranteeing that the constraints imposed along the trajectory are in fact satisfied for all times. The problem is relevant and non-trivial in situations in which a continuous-time internal representation of the system is used with a digital device, such as in sampled-data model-based control, in an optimal control solver, or in sampled-data model predictive control. In this letter, we establish a condition that when verified on a finite set of time instants (using limited computational power) can guarantee that the trajectory constraints are satisfied on an uncountable set of times. The case of constrained optimal control problems is further explored here. We develop an algorithm for the numerical solution of constrained nonlinear optimal control problems that combines a guaranteed constraint satisfaction strategy with an adaptive mesh refinement strategy. © 2017 IEEE.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6