CONTROL DESIGN WITH TRANSFER FUNCTIONS ASSOCIATED TO HIGHER ORDER VOLTERRA KERNELS.

Samir A. Al-Baiyat; Michael K. Sain

doi:10.1109/cdc.1986.267594

CONTROL DESIGN WITH TRANSFER FUNCTIONS ASSOCIATED TO HIGHER ORDER VOLTERRA KERNELS.

Samir A. Al-Baiyat^*, Michael K. Sain

^*Corresponding author for this work

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

4 Scopus citations

Abstract

The Volterra series provides a convolution-oriented method for representing the input/output behavior of a nonlinear system. For the case of constant system parameters, such a representation is naturally suited to control design with transfer functions: zeroth order, first order, second order, and so forth. J. L. Peczkowski et al. (1979) introduced a total synthesis problem (TSP) approach to linear feedback synthesis, and J. L. Peczkowski and M. K. Sain (1981) demonstrated how to schedule TSP into a nonlinear controller. For plants with one input and one output, S. A. Al-Baiyat and M. K. Sain (1985) extended TSP to higher order transfer functions for the class of linear analytic systems. The authors complete the extension by treating multiple inputs and multiple outputs. The method is illustrated by designing a control system for a dc-to-dc converter.

Original language	English
Pages (from-to)	1306-1311
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/cdc.1986.267594
State	Published - 1986

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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title = "CONTROL DESIGN WITH TRANSFER FUNCTIONS ASSOCIATED TO HIGHER ORDER VOLTERRA KERNELS.",

abstract = "The Volterra series provides a convolution-oriented method for representing the input/output behavior of a nonlinear system. For the case of constant system parameters, such a representation is naturally suited to control design with transfer functions: zeroth order, first order, second order, and so forth. J. L. Peczkowski et al. (1979) introduced a total synthesis problem (TSP) approach to linear feedback synthesis, and J. L. Peczkowski and M. K. Sain (1981) demonstrated how to schedule TSP into a nonlinear controller. For plants with one input and one output, S. A. Al-Baiyat and M. K. Sain (1985) extended TSP to higher order transfer functions for the class of linear analytic systems. The authors complete the extension by treating multiple inputs and multiple outputs. The method is illustrated by designing a control system for a dc-to-dc converter.",

author = "Al-Baiyat, \{Samir A.\} and Sain, \{Michael K.\}",

year = "1986",

doi = "10.1109/cdc.1986.267594",

language = "English",

pages = "1306--1311",

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

issn = "0743-1546",

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

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T1 - CONTROL DESIGN WITH TRANSFER FUNCTIONS ASSOCIATED TO HIGHER ORDER VOLTERRA KERNELS.

AU - Al-Baiyat, Samir A.

AU - Sain, Michael K.

PY - 1986

Y1 - 1986

N2 - The Volterra series provides a convolution-oriented method for representing the input/output behavior of a nonlinear system. For the case of constant system parameters, such a representation is naturally suited to control design with transfer functions: zeroth order, first order, second order, and so forth. J. L. Peczkowski et al. (1979) introduced a total synthesis problem (TSP) approach to linear feedback synthesis, and J. L. Peczkowski and M. K. Sain (1981) demonstrated how to schedule TSP into a nonlinear controller. For plants with one input and one output, S. A. Al-Baiyat and M. K. Sain (1985) extended TSP to higher order transfer functions for the class of linear analytic systems. The authors complete the extension by treating multiple inputs and multiple outputs. The method is illustrated by designing a control system for a dc-to-dc converter.

AB - The Volterra series provides a convolution-oriented method for representing the input/output behavior of a nonlinear system. For the case of constant system parameters, such a representation is naturally suited to control design with transfer functions: zeroth order, first order, second order, and so forth. J. L. Peczkowski et al. (1979) introduced a total synthesis problem (TSP) approach to linear feedback synthesis, and J. L. Peczkowski and M. K. Sain (1981) demonstrated how to schedule TSP into a nonlinear controller. For plants with one input and one output, S. A. Al-Baiyat and M. K. Sain (1985) extended TSP to higher order transfer functions for the class of linear analytic systems. The authors complete the extension by treating multiple inputs and multiple outputs. The method is illustrated by designing a control system for a dc-to-dc converter.

UR - https://www.scopus.com/pages/publications/0023012561

U2 - 10.1109/cdc.1986.267594

DO - 10.1109/cdc.1986.267594

M3 - Conference article

AN - SCOPUS:0023012561

SN - 0743-1546

SP - 1306

EP - 1311

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

CONTROL DESIGN WITH TRANSFER FUNCTIONS ASSOCIATED TO HIGHER ORDER VOLTERRA KERNELS.

Abstract

ASJC Scopus subject areas

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