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Optimal Control for Linear-Rate Multi-mode Systems

  • Dominik Wojtczak
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8053)

Abstract

Linear-Rate Multi-Mode Systems is a model that can be seen both as a subclass of switched linear systems with imposed global safety constraints and as hybrid automata with no guards on transitions. We study the existence and design of a controller for this model that keeps at all times the state of the system within a given safe set. A sufficient and necessary condition is given for such a controller to exist as well as an algorithm that finds one in polynomial time. We further generalise the model by adding costs on modes and present an algorithm that constructs a safe controller which minimises the peak cost, the average-cost or any cost expressed as a weighted sum of these two. Finally, we present numerical simulation results based on our implementation of these algorithms.

Keywords

Model Predictive Control Average Cost Optimal Controller Average Energy Consumption Hybrid Automaton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Dominik Wojtczak
    • 1
  1. 1.University of LiverpoolLiverpoolUK

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