Interval analysis and dioid: application to robust controller design for timed event graphs

DOI10.1016/j.automatica.2004.05.013zbMath1075.93011OpenAlexW2164173494MaRDI QIDQ1765173

Bertrand Cottenceau, Mehdi Lhommeau, Laurent Hardouin, Jaulin, Luc

Publication date: 23 February 2005

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2004.05.013

zbMATH Keywords

interval analysistimed event graphsresiduation theorydioidfeedback synthesisdiscrete-event system

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Discrete event control/observation systems (93C65) Interval and finite arithmetic (65G30) Synthesis problems (93B50)

Related Items (13)

Strong solvability of interval max-plus systems and applications to optimal control ⋮ 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 ⋮ Relatively maximal perturbation bounds for global robustness of max‐plus linear systems ⋮ Global optimization for max-plus linear systems and applications in distributed systems ⋮ Min-plus realizable control design for partially observable timed event graphs under marking constraints ⋮ Duality and interval analysis over idempotent semirings ⋮ On the control of max-plus linear system subject to state restriction ⋮ Supervisory control of (max,+) automata: extensions towards applications ⋮ Failure detection and localization for timed event graphs in \((\max,+)\)-algebra ⋮ Discrete-Event Systems in a Dioid Framework: Control Theory ⋮ Eigenvectors of interval matrices over max--plus algebra ⋮ Control of Petri nets subject to strict temporal constraints using Max-Plus algebra

Cites Work

• Estimation of discrete-event systems using interval computation
• Just-in-time control of timed event graphs: update of reference input, presence of uncontrollable input
• Job flow control in assembly operations
• Optimal closed-loop control of timed event graphs in dioids
• Model reference control for timed event graphs in diods
• Idempotent interval analysis and optimization problems
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