An integrated control strategy to solve the disturbance decoupling problem for max-plus linear systems with applications to a high throughput screening system

DOI10.1016/j.automatica.2015.10.030zbMath1329.93047OpenAlexW2139983214MaRDI QIDQ901223

Mehdi Lhommeau, Carlos Andrey Maia, Laurent Hardouin, Ying Shang

Publication date: 23 December 2015

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2015.10.030

zbMATH Keywords

manufacturing systemsdiscrete-event systems\((\max, +)\)-algebrageometrical control theory

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Geometric methods (93B27) Max-plus and related algebras (15A80)

Related Items (10)

Analysis and control of max-plus linear discrete-event systems: an introduction ⋮ Local and global robustness with \(q\)-step delay for max-plus linear systems ⋮ Disturbance decoupling by state feedback for uncertain impulsive linear systems ⋮ Relatively maximal perturbation bounds for global robustness of max‐plus linear systems ⋮ Approximately global optimal control for max-plus linear systems and its application on load distribution ⋮ Feedback control to guarantee marking constraints in timed event graphs including disturbances: application to disassembly systems ⋮ An integrated control strategy to solve the disturbance decoupling problem for max-plus linear systems with applications to a high throughput screening system ⋮ Global optimization for max-plus linear systems and applications in distributed systems ⋮ Matrix representation of formal polynomials over max-plus algebra ⋮ Performance safety enforcement in strongly connected timed event graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the control of max-plus linear system subject to state restriction
• Current trends in nonlinear systems and control. In honor of Petar Kokotović and Turi Nicosia
• An integrated control strategy to solve the disturbance decoupling problem for max-plus linear systems with applications to a high throughput screening system
• Geometric state-space theory in linear multivariable control: A status report
• Controlled and conditioned invariant subspaces in linear system theory
• Duality Between Invariant Spaces for Max-Plus Linear Discrete Event Systems
• Observer Design for $(\max, +)$ Linear Systems
• Max-Plus $(A,B)$-Invariant Spaces and Control of Timed Discrete-Event Systems

This page was built for publication: An integrated control strategy to solve the disturbance decoupling problem for max-plus linear systems with applications to a high throughput screening system