On designing H∞ controller for a class of nonlinear Markovian jump systems with parametric uncertainties

El Kebir Boukas; Peng Shi; Sing Kiong Nguang; Ramesh K. Agarwal

On designing H_∞ controller for a class of nonlinear Markovian jump systems with parametric uncertainties

El Kebir Boukas
, Peng Shi
, Sing Kiong Nguang
, Ramesh K. Agarwal

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper studies the problem of stochastic stability and disturbance attenuation for a class of uncertain nonlinear continuous-time systems with Markovian jumping parameters. The uncertainties are assumed to be nonlinear and state, control and external disturbance dependent. A sufficient condition is presented to solve the above problem. An H_∞ controller is designed which is in terms of the solutions of a set of coupled Riccati inequalities. A numerical example is included to demonstrate the potential of the proposed technique.

Original language	English
Pages (from-to)	970-974
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	2
State	Published - 1999
Event	Proceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA Duration: Jun 2 1999 → Jun 4 1999

Cite this

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title = "On designing H∞ controller for a class of nonlinear Markovian jump systems with parametric uncertainties",

abstract = "This paper studies the problem of stochastic stability and disturbance attenuation for a class of uncertain nonlinear continuous-time systems with Markovian jumping parameters. The uncertainties are assumed to be nonlinear and state, control and external disturbance dependent. A sufficient condition is presented to solve the above problem. An H∞ controller is designed which is in terms of the solutions of a set of coupled Riccati inequalities. A numerical example is included to demonstrate the potential of the proposed technique.",

author = "Boukas, \{El Kebir\} and Peng Shi and Nguang, \{Sing Kiong\} and Agarwal, \{Ramesh K.\}",

year = "1999",

language = "English",

volume = "2",

pages = "970--974",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

note = "Proceedings of the 1999 American Control Conference (99ACC) ; Conference date: 02-06-1999 Through 04-06-1999",

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TY - JOUR

T1 - On designing H∞ controller for a class of nonlinear Markovian jump systems with parametric uncertainties

AU - Boukas, El Kebir

AU - Shi, Peng

AU - Nguang, Sing Kiong

AU - Agarwal, Ramesh K.

PY - 1999

Y1 - 1999

N2 - This paper studies the problem of stochastic stability and disturbance attenuation for a class of uncertain nonlinear continuous-time systems with Markovian jumping parameters. The uncertainties are assumed to be nonlinear and state, control and external disturbance dependent. A sufficient condition is presented to solve the above problem. An H∞ controller is designed which is in terms of the solutions of a set of coupled Riccati inequalities. A numerical example is included to demonstrate the potential of the proposed technique.

AB - This paper studies the problem of stochastic stability and disturbance attenuation for a class of uncertain nonlinear continuous-time systems with Markovian jumping parameters. The uncertainties are assumed to be nonlinear and state, control and external disturbance dependent. A sufficient condition is presented to solve the above problem. An H∞ controller is designed which is in terms of the solutions of a set of coupled Riccati inequalities. A numerical example is included to demonstrate the potential of the proposed technique.

UR - https://www.scopus.com/pages/publications/0033283373

M3 - Conference article

AN - SCOPUS:0033283373

SN - 0743-1619

VL - 2

SP - 970

EP - 974

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 1999 American Control Conference (99ACC)

Y2 - 2 June 1999 through 4 June 1999

ER -

On designing H_∞ controller for a class of nonlinear Markovian jump systems with parametric uncertainties

Abstract

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