Design of continuous time controllers having almost minimum time response

M. Kalyon

doi:10.1115/1.1468862

Design of continuous time controllers having almost minimum time response

M. Kalyon^*

^*Corresponding author for this work

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

8 Scopus citations

Abstract

A class of near time-optimal nonlinear controllers - the Continuous Proximate Time-Optimal (CPTO) controllers - which involves continuous, rather than discontinuous, non-linear feedback control functions is introduced. The CPTO controllers give near time-optimal response for large state errors, and provide smooth, stable response with near linear control for small state errors. In this paper, the CPTO controllers for three second-order (two stable and one unstable) plants and one third-order plant are introduced. Complete stability proofs, using the CPTO control law, are given for all the systems considered. It has been shown through the simulation that response times are indeed near time-optimal for all cases considered.

Original language	English
Pages (from-to)	252-260
Number of pages	9
Journal	Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume	124
Issue number	2
DOIs	https://doi.org/10.1115/1.1468862
State	Published - Jun 2002
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Information Systems
Instrumentation
Mechanical Engineering
Computer Science Applications

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10.1115/1.1468862

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abstract = "A class of near time-optimal nonlinear controllers - the Continuous Proximate Time-Optimal (CPTO) controllers - which involves continuous, rather than discontinuous, non-linear feedback control functions is introduced. The CPTO controllers give near time-optimal response for large state errors, and provide smooth, stable response with near linear control for small state errors. In this paper, the CPTO controllers for three second-order (two stable and one unstable) plants and one third-order plant are introduced. Complete stability proofs, using the CPTO control law, are given for all the systems considered. It has been shown through the simulation that response times are indeed near time-optimal for all cases considered.",

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AB - A class of near time-optimal nonlinear controllers - the Continuous Proximate Time-Optimal (CPTO) controllers - which involves continuous, rather than discontinuous, non-linear feedback control functions is introduced. The CPTO controllers give near time-optimal response for large state errors, and provide smooth, stable response with near linear control for small state errors. In this paper, the CPTO controllers for three second-order (two stable and one unstable) plants and one third-order plant are introduced. Complete stability proofs, using the CPTO control law, are given for all the systems considered. It has been shown through the simulation that response times are indeed near time-optimal for all cases considered.

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Design of continuous time controllers having almost minimum time response

Abstract

ASJC Scopus subject areas

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