Optimal Observer Design of State Delay Systems

Fu I. Chou, Ming-Yang Cheng

Research output: Contribution to journalArticle

Abstract

This paper proposes a new method to design the observer for state delay systems such that (i) state estimation errors converge to zero quickly and (ii), at the same time, a quadratic performance measurement of the deviation of estimates from the actual states is minimized for reducing large error during the transient period of observation. The proposed new approach fuses the merits of both the orthogonal functions approach and evolutionary optimization. One illustrative example is given to verify the effectiveness and efficiency of the proposed new optimization method on performance improvement of state estimations. From the illustrative example, in addition to the asymptotical convergence of the estimated state errors, the performance index for the proposed optimal design approach is clearly much lower than that of the nonoptimal design method.

Original languageEnglish
Article number8493298
JournalMathematical Problems in Engineering
Volume2019
DOIs
Publication statusPublished - 2019 Jan 1

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Observer Design
Delay Systems
State Estimation
State estimation
Orthogonal Functions
Evolutionary Optimization
Performance Measurement
Estimation Error
Performance Index
Design Method
Orthogonal functions
Optimization Methods
Observer
Deviation
Electric fuses
Verify
Converge
Zero
Estimate
Optimal design

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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Optimal Observer Design of State Delay Systems. / Chou, Fu I.; Cheng, Ming-Yang.

In: Mathematical Problems in Engineering, Vol. 2019, 8493298, 01.01.2019.

Research output: Contribution to journalArticle

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