Reduced order distributed boundary control of thermal transients in microsystems

Leonidas G. Bleris, Mayuresh V. Kothare

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We study the problem of regulation of thermal transients in a microsystem using empirical eigenfunctions. Proper orthogonal decomposition (POD) is applied to an ensemble of data to obtain the dominant structures, called empirical eigenfunctions, that characterize the dynamics of the process. These eigenfunctions are the most efficient basis for capturing the dynamics of an infinite dimensional process with a finite number of modes. In contrast to published approaches, we propose a new receding horizon boundary control scheme using the empirical eigenfunctions in a constrained optimization procedure to track a desired spatiotemporal profile. Finite element method (FEM) simulations of heat transfer are provided and used in order to implement and test the performance of the controller.

Original languageEnglish (US)
Pages (from-to)853-867
Number of pages15
JournalIEEE Transactions on Control Systems Technology
Issue number6
StatePublished - Nov 2005
Externally publishedYes


  • Boundary-reduced order control
  • Empirical eigenfunctions
  • Microsystems
  • Receding horizon control (RHC)

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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