Discontinuous control and simultaneous identification of distributed parameter systems

Yuri Orlov; Joseph Bentsman

Discontinuous control and simultaneous identification of distributed parameter systems

Research output: Contribution to journal › Conference article

Abstract

This paper presents discontinuous control laws for distributed parameter systems of parabolic and hyperbolic types which yield asymptotic tracking of the output of a reference model. The use of the discontinuity in these control laws permits rejection of input disturbances and ensures robustness with respect to dynamic uncertainties, both with the apriori known norm bounds. It is also demonstrated that unknown plant parameters could be simultaneously identified pointwise through the construction of the auxiliary system. Under the persistently exciting reference input, the time-varying parameters of the auxiliary system converge to plant parameters in L₂ and the orthogonal expansions of the former obtained by passing them through the integrator block converge to plant parameters pointwise.

Original language	English (US)
Pages (from-to)	4251-4256
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	5
State	Published - Dec 1 1999
Externally published	Yes
Event	The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: Dec 7 1999 → Dec 10 1999

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

Fingerprint Dive into the research topics of 'Discontinuous control and simultaneous identification of distributed parameter systems'. Together they form a unique fingerprint.

Cite this

Orlov, Y., & Bentsman, J. (1999). Discontinuous control and simultaneous identification of distributed parameter systems. Proceedings of the IEEE Conference on Decision and Control, 5, 4251-4256.

@article{a96468a2c4974655bcff874bc5c54b44,

title = "Discontinuous control and simultaneous identification of distributed parameter systems",

abstract = "This paper presents discontinuous control laws for distributed parameter systems of parabolic and hyperbolic types which yield asymptotic tracking of the output of a reference model. The use of the discontinuity in these control laws permits rejection of input disturbances and ensures robustness with respect to dynamic uncertainties, both with the apriori known norm bounds. It is also demonstrated that unknown plant parameters could be simultaneously identified pointwise through the construction of the auxiliary system. Under the persistently exciting reference input, the time-varying parameters of the auxiliary system converge to plant parameters in L2 and the orthogonal expansions of the former obtained by passing them through the integrator block converge to plant parameters pointwise.",

author = "Yuri Orlov and Joseph Bentsman",

year = "1999",

month = dec,

day = "1",

language = "English (US)",

volume = "5",

pages = "4251--4256",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "The 38th IEEE Conference on Decision and Control (CDC) ; Conference date: 07-12-1999 Through 10-12-1999",

}

TY - JOUR

T1 - Discontinuous control and simultaneous identification of distributed parameter systems

AU - Orlov, Yuri

AU - Bentsman, Joseph

PY - 1999/12/1

Y1 - 1999/12/1

N2 - This paper presents discontinuous control laws for distributed parameter systems of parabolic and hyperbolic types which yield asymptotic tracking of the output of a reference model. The use of the discontinuity in these control laws permits rejection of input disturbances and ensures robustness with respect to dynamic uncertainties, both with the apriori known norm bounds. It is also demonstrated that unknown plant parameters could be simultaneously identified pointwise through the construction of the auxiliary system. Under the persistently exciting reference input, the time-varying parameters of the auxiliary system converge to plant parameters in L2 and the orthogonal expansions of the former obtained by passing them through the integrator block converge to plant parameters pointwise.

AB - This paper presents discontinuous control laws for distributed parameter systems of parabolic and hyperbolic types which yield asymptotic tracking of the output of a reference model. The use of the discontinuity in these control laws permits rejection of input disturbances and ensures robustness with respect to dynamic uncertainties, both with the apriori known norm bounds. It is also demonstrated that unknown plant parameters could be simultaneously identified pointwise through the construction of the auxiliary system. Under the persistently exciting reference input, the time-varying parameters of the auxiliary system converge to plant parameters in L2 and the orthogonal expansions of the former obtained by passing them through the integrator block converge to plant parameters pointwise.

UR - http://www.scopus.com/inward/record.url?scp=0033347321&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033347321&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0033347321

VL - 5

SP - 4251

EP - 4256

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

T2 - The 38th IEEE Conference on Decision and Control (CDC)

Y2 - 7 December 1999 through 10 December 1999

ER -