Robust stabilization of time delay systems based on riccati type operator equation arising in differential games

Akira Kojima; Kenko Uchida; Etsujiro Shimemura

Robust stabilization of time delay systems based on riccati type operator equation arising in differential games

Akira Kojima^*, Kenko Uchida, Etsujiro Shimemura

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

A robust stabilization problem is discussed for time delay systems. By introducing an indefinite Riccati type operator equation for time delay systems, we propose a design method of robust stabilizing control law against the parametric uncertainties, which occur in lumped parameter element and in all types of delay element. In the derivation of the control law, the key point is that we take a twofold approach; one is an internal approach based on Lyapunov type operator equation and another is an external approach based on small-gain theorem. This twofold approach first enable us to deal the uncertainties of time delay systems in a unified way.

Original language	English
Title of host publication	Lecture Notes in Control and Information Sciences
Editors	Anon
Publisher	Publ by Springer-Verlag Berlin
Pages	197-206
Number of pages	10
Volume	156
Publication status	Published - 1991
Event	Proceedings of the 4th International Symposium on Differential Games and Applications - Helsinki, Finl Duration: 1990 Aug 9 → 1990 Aug 10

Other

Other	Proceedings of the 4th International Symposium on Differential Games and Applications
City	Helsinki, Finl
Period	90/8/9 → 90/8/10

ASJC Scopus subject areas

Engineering(all)

Cite this

Robust stabilization of time delay systems based on riccati type operator equation arising in differential games. / Kojima, Akira; Uchida, Kenko; Shimemura, Etsujiro.

Lecture Notes in Control and Information Sciences. ed. / Anon. Vol. 156 Publ by Springer-Verlag Berlin, 1991. p. 197-206.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Kojima, A, Uchida, K & Shimemura, E 1991, Robust stabilization of time delay systems based on riccati type operator equation arising in differential games. in Anon (ed.), Lecture Notes in Control and Information Sciences. vol. 156, Publ by Springer-Verlag Berlin, pp. 197-206, Proceedings of the 4th International Symposium on Differential Games and Applications, Helsinki, Finl, 90/8/9.

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abstract = "A robust stabilization problem is discussed for time delay systems. By introducing an indefinite Riccati type operator equation for time delay systems, we propose a design method of robust stabilizing control law against the parametric uncertainties, which occur in lumped parameter element and in all types of delay element. In the derivation of the control law, the key point is that we take a twofold approach; one is an internal approach based on Lyapunov type operator equation and another is an external approach based on small-gain theorem. This twofold approach first enable us to deal the uncertainties of time delay systems in a unified way.",

author = "Akira Kojima and Kenko Uchida and Etsujiro Shimemura",

year = "1991",

language = "English",

volume = "156",

pages = "197--206",

editor = "Anon",

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AU - Uchida, Kenko

AU - Shimemura, Etsujiro

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Y1 - 1991

N2 - A robust stabilization problem is discussed for time delay systems. By introducing an indefinite Riccati type operator equation for time delay systems, we propose a design method of robust stabilizing control law against the parametric uncertainties, which occur in lumped parameter element and in all types of delay element. In the derivation of the control law, the key point is that we take a twofold approach; one is an internal approach based on Lyapunov type operator equation and another is an external approach based on small-gain theorem. This twofold approach first enable us to deal the uncertainties of time delay systems in a unified way.

AB - A robust stabilization problem is discussed for time delay systems. By introducing an indefinite Riccati type operator equation for time delay systems, we propose a design method of robust stabilizing control law against the parametric uncertainties, which occur in lumped parameter element and in all types of delay element. In the derivation of the control law, the key point is that we take a twofold approach; one is an internal approach based on Lyapunov type operator equation and another is an external approach based on small-gain theorem. This twofold approach first enable us to deal the uncertainties of time delay systems in a unified way.

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AN - SCOPUS:0025746893

VL - 156

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BT - Lecture Notes in Control and Information Sciences

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PB - Publ by Springer-Verlag Berlin

T2 - Proceedings of the 4th International Symposium on Differential Games and Applications

Y2 - 9 August 1990 through 10 August 1990

ER -

Robust stabilization of time delay systems based on riccati type operator equation arising in differential games

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