Linear quadratic regulation of switched systems using informed policies

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Abstract

The problem of designing a switching and control policy for regulating the state of a switched linear system to zero while minimizing a quadratic cost appears in numerous applications. However, obtaining the optimal policy is in general computationally intractable. Here, we propose a class of suboptimal policies that exploit information, in terms of upper or lower bounds, on the optimal cost. We analyze the performance of these novel policies, obtaining new bounds on the optimal cost which are tighter than the initial ones. The usefulness of these policies and performance bounds is illustrated in the context of resource-Aware control.

Original languageEnglish
Article number7588142
Pages (from-to)2675-2688
Number of pages14
JournalIEEE Transactions on Automatic Control
Volume62
Issue number6
DOIs
Publication statusPublished - 1 Jun 2017

Keywords

  • approximation algorithms
  • dynamic programming
  • linear quadratic regulator
  • Optimal control
  • switched systems

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