Observer with evolutionary-programming-based optimal digital tracker for analog neutral multiple time-delay systems

研究成果: Article

6 引文 (Scopus)

摘要

In this paper, the finite-time optimal hybrid tracking control problem for analog neutral systems with multiple discrete and distributed time delays is formulated and studied. A novel approach that combining the evolutionary programming (EP) algorithm and the high-gain property for analog neutral multiple time-delay systems is proposed to achieve the "best" tracking performance for the first time. First, the Newton center interpolation formula and the linear interpolation formula, together with a modified rectangular rule and an augmented state vector, are utilized to construct the equivalent digital linear models. Next, according to the separation principle, the control gains of the digital tracker and the digital observer are designed separately by the discrete-time optimal control theory and prediction-based digital redesign method, and then combined together to form an observer-based optimal time-varying digital tracker. Eventually, the process is to combine the high-gain property with EP algorithm to search the optimal weighting matrices in the performance index to form an observer with EP-based low-gain digital tracker to achieve the objective of optimal tracking control. An example is given for illustrating the effectiveness of the new tracker design method.

原文English
頁(從 - 到)1001-1015
頁數15
期刊Applied Mathematics and Computation
188
發行號1
DOIs
出版狀態Published - 2007 五月 1

指紋

Multiple Time Delays
Evolutionary Programming
Time-delay Systems
Evolutionary algorithms
Observer
Time delay
Analogue
Interpolation
Tracking Control
Gain control
Control theory
Digital Redesign
Distributed Time Delay
Separation Principle
Hybrid Control
Neutral Systems
Optimal Control Theory
Linear Interpolation
Performance Index
Design Method

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

引用此文

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abstract = "In this paper, the finite-time optimal hybrid tracking control problem for analog neutral systems with multiple discrete and distributed time delays is formulated and studied. A novel approach that combining the evolutionary programming (EP) algorithm and the high-gain property for analog neutral multiple time-delay systems is proposed to achieve the {"}best{"} tracking performance for the first time. First, the Newton center interpolation formula and the linear interpolation formula, together with a modified rectangular rule and an augmented state vector, are utilized to construct the equivalent digital linear models. Next, according to the separation principle, the control gains of the digital tracker and the digital observer are designed separately by the discrete-time optimal control theory and prediction-based digital redesign method, and then combined together to form an observer-based optimal time-varying digital tracker. Eventually, the process is to combine the high-gain property with EP algorithm to search the optimal weighting matrices in the performance index to form an observer with EP-based low-gain digital tracker to achieve the objective of optimal tracking control. An example is given for illustrating the effectiveness of the new tracker design method.",
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N2 - In this paper, the finite-time optimal hybrid tracking control problem for analog neutral systems with multiple discrete and distributed time delays is formulated and studied. A novel approach that combining the evolutionary programming (EP) algorithm and the high-gain property for analog neutral multiple time-delay systems is proposed to achieve the "best" tracking performance for the first time. First, the Newton center interpolation formula and the linear interpolation formula, together with a modified rectangular rule and an augmented state vector, are utilized to construct the equivalent digital linear models. Next, according to the separation principle, the control gains of the digital tracker and the digital observer are designed separately by the discrete-time optimal control theory and prediction-based digital redesign method, and then combined together to form an observer-based optimal time-varying digital tracker. Eventually, the process is to combine the high-gain property with EP algorithm to search the optimal weighting matrices in the performance index to form an observer with EP-based low-gain digital tracker to achieve the objective of optimal tracking control. An example is given for illustrating the effectiveness of the new tracker design method.

AB - In this paper, the finite-time optimal hybrid tracking control problem for analog neutral systems with multiple discrete and distributed time delays is formulated and studied. A novel approach that combining the evolutionary programming (EP) algorithm and the high-gain property for analog neutral multiple time-delay systems is proposed to achieve the "best" tracking performance for the first time. First, the Newton center interpolation formula and the linear interpolation formula, together with a modified rectangular rule and an augmented state vector, are utilized to construct the equivalent digital linear models. Next, according to the separation principle, the control gains of the digital tracker and the digital observer are designed separately by the discrete-time optimal control theory and prediction-based digital redesign method, and then combined together to form an observer-based optimal time-varying digital tracker. Eventually, the process is to combine the high-gain property with EP algorithm to search the optimal weighting matrices in the performance index to form an observer with EP-based low-gain digital tracker to achieve the objective of optimal tracking control. An example is given for illustrating the effectiveness of the new tracker design method.

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