Rendering a Prescribed Subset Invariant for Polynomial Systems by Dynamic State-Feedback Compensator

Tsuyoshi Yuno; Toshiyuki Ohtsuka

doi:10.1016/j.ifacol.2016.10.305

Rendering a Prescribed Subset Invariant for Polynomial Systems by Dynamic State-Feedback Compensator

Tsuyoshi Yuno, Toshiyuki Ohtsuka

Section of Measurement and Control Engineering

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

This paper derives a sufficient condition for the existence of a dynamic state-feedback compensator, for a polynomial system, such that a prescribed subset defined by an algebraic inequality is invariant for the resulting closed-loop system. Moreover, we present an algorithm for exactly computing such a compensator. The algorithm consists of finitely-many arithmetic operations of polynomials.

Original language	English
Pages (from-to)	1042-1047
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	49
Issue number	18
DOIs	https://doi.org/10.1016/j.ifacol.2016.10.305
Publication status	Published - 2016

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

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10.1016/j.ifacol.2016.10.305

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abstract = "This paper derives a sufficient condition for the existence of a dynamic state-feedback compensator, for a polynomial system, such that a prescribed subset defined by an algebraic inequality is invariant for the resulting closed-loop system. Moreover, we present an algorithm for exactly computing such a compensator. The algorithm consists of finitely-many arithmetic operations of polynomials.",

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AB - This paper derives a sufficient condition for the existence of a dynamic state-feedback compensator, for a polynomial system, such that a prescribed subset defined by an algebraic inequality is invariant for the resulting closed-loop system. Moreover, we present an algorithm for exactly computing such a compensator. The algorithm consists of finitely-many arithmetic operations of polynomials.

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Rendering a Prescribed Subset Invariant for Polynomial Systems by Dynamic State-Feedback Compensator

Abstract

All Science Journal Classification (ASJC) codes

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