Interpolating Constrained Control of Interconnected Systems

Scialanga, S. and Ampountolas, K. (2018) Interpolating Constrained Control of Interconnected Systems. In: 15th IFAC Symposium on Control in Transportation Systems, Savona, Italy, 6-8 June 2018, pp. 7-12. (doi: 10.1016/j.ifacol.2018.07.002)

Abstract

This paper presents a decentralised interpolating control scheme for the control of linear discrete-time interconnected systems with local state and control constraints. The control law of each distinct subsystem relies on the gentle interpolation between a local high- gain controller, which satisfies some user-desired performance specifications, with a global low-gain controller. For each subsystem both low- and high-gain controllers can be efficiently determined off-line, while the inexpensive interpolation between them is performed on-line. For the interpolation, a new low-dimensional linear programming formulation is developed, which is computationally less expensive compared to previous works. Therefore, it is appropriate for real- time control of large-scale interconnected systems. Proofs of recursive feasibility and asymptotic stability of the interpolating scheme are given for decoupled as well as interconnected subsystems with coupled state constraints. Two numerical examples show that the proposed decentralised interpolating control outperforms previously proposed interpolating schemes. Finally, it is faster than model predictive control, while their control behaviour and performance is almost identical.

• Item Type: Conference Proceedings
• Additional Information: Published in IFAC-PapersOnline 51(9):7-12
• Keywords: Invariant sets, interpolation, interconnected systems, decentralised control
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Scialanga, Sheila and Ampountolas, Dr Konstantinos
• Authors: Scialanga, S., and Ampountolas, K.
• College/School: College of Science and Engineering; College of Science and Engineering > School of Engineering > Infrastructure and Environment
• ISSN: 1474-6670
• Published Online: 19 July 2018
• Copyright Holders: Copyright © 2018 IFAC
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher

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