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 language | English |
|---|---|
| Article number | 8493298 |
| Journal | Mathematical Problems in Engineering |
| Volume | 2019 |
| DOIs | |
| Publication status | Published - 2019 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Engineering(all)
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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 journal › Article
TY - JOUR
T1 - Optimal Observer Design of State Delay Systems
AU - Chou, Fu I.
AU - Cheng, Ming-Yang
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85061627474&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85061627474&partnerID=8YFLogxK
U2 - 10.1155/2019/8493298
DO - 10.1155/2019/8493298
M3 - Article
AN - SCOPUS:85061627474
VL - 2019
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
SN - 1024-123X
M1 - 8493298
ER -