Invariance of a class of semi-algebraic sets for polynomial systems with dynamic compensators

Tsuyoshi Yuno, Eva Zerz, Toshiyuki Ohtsuka

Research output: Contribution to journalArticlepeer-review

Abstract

We derive a constructive sufficient condition for the existence of a compensator such that a prescribed semi-algebraic set is invariant for the resulting closed-loop system. The construction procedure consists of symbolic computations. Although the target system is restricted to polynomial control systems, non-polynomial smooth compensators can be designed. We also derive the procedure for extracting static controllers from the set of dynamic compensators. Moreover, we explain the similarities and differences between our method and the conventional slack-variable method of Jacobson and Lele (1969).

Original languageEnglish
Article number109243
JournalAutomatica
Volume122
DOIs
Publication statusPublished - Dec 2020

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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