Abstract
In this paper, a particle swarm optimization (PSO) based approach is proposed to derive an optimal digital controller for redesigned digital systems having an interval plant based on time-response resemblance of the closed-loop systems. Because of difficulties in obtaining time-response envelopes for interval systems, the design problem is formulated as an optimization problem of a cost function in terms of aggregated deviation between the step responses corresponding to extremal energies of the redesigned digital system and those of their continuous counterpart. A proposed evolutionary framework incorporating three PSOs is subsequently presented to minimize the cost function to derive an optimal set of parameters for the digital controller, so that step response sequences corresponding to the extremal sequence energy of the redesigned digital system suitably approximate those of their continuous counterpart under the perturbation of the uncertain plant parameters. Computer simulations have shown that redesigned digital systems incorporating the PSO-derived digital controllers have better system performance than those using conventional open-loop discretization methods.
| Original language | English |
|---|---|
| Pages (from-to) | 264-272 |
| Number of pages | 9 |
| Journal | ISA Transactions |
| Volume | 48 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2009 Jan 1 |
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Keywords
- Digital redesign
- Discretization
- ISE
- Interval plants
- Particle swarm optimization
- Signal energy
ASJC Scopus subject areas
- Instrumentation
- Computer Science Applications
- Electrical and Electronic Engineering
- Applied Mathematics
Cite this
Digital redesign of uncertain interval systems based on time-response resemblance via particle swarm optimization. / Hsu, Chen-Chien James; Lin, Geng Yu.
In: ISA Transactions, Vol. 48, No. 3, 01.01.2009, p. 264-272.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Digital redesign of uncertain interval systems based on time-response resemblance via particle swarm optimization
AU - Hsu, Chen-Chien James
AU - Lin, Geng Yu
PY - 2009/1/1
Y1 - 2009/1/1
N2 - In this paper, a particle swarm optimization (PSO) based approach is proposed to derive an optimal digital controller for redesigned digital systems having an interval plant based on time-response resemblance of the closed-loop systems. Because of difficulties in obtaining time-response envelopes for interval systems, the design problem is formulated as an optimization problem of a cost function in terms of aggregated deviation between the step responses corresponding to extremal energies of the redesigned digital system and those of their continuous counterpart. A proposed evolutionary framework incorporating three PSOs is subsequently presented to minimize the cost function to derive an optimal set of parameters for the digital controller, so that step response sequences corresponding to the extremal sequence energy of the redesigned digital system suitably approximate those of their continuous counterpart under the perturbation of the uncertain plant parameters. Computer simulations have shown that redesigned digital systems incorporating the PSO-derived digital controllers have better system performance than those using conventional open-loop discretization methods.
AB - In this paper, a particle swarm optimization (PSO) based approach is proposed to derive an optimal digital controller for redesigned digital systems having an interval plant based on time-response resemblance of the closed-loop systems. Because of difficulties in obtaining time-response envelopes for interval systems, the design problem is formulated as an optimization problem of a cost function in terms of aggregated deviation between the step responses corresponding to extremal energies of the redesigned digital system and those of their continuous counterpart. A proposed evolutionary framework incorporating three PSOs is subsequently presented to minimize the cost function to derive an optimal set of parameters for the digital controller, so that step response sequences corresponding to the extremal sequence energy of the redesigned digital system suitably approximate those of their continuous counterpart under the perturbation of the uncertain plant parameters. Computer simulations have shown that redesigned digital systems incorporating the PSO-derived digital controllers have better system performance than those using conventional open-loop discretization methods.
KW - Digital redesign
KW - Discretization
KW - ISE
KW - Interval plants
KW - Particle swarm optimization
KW - Signal energy
UR - http://www.scopus.com/inward/record.url?scp=67349085730&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=67349085730&partnerID=8YFLogxK
U2 - 10.1016/j.isatra.2009.01.008
DO - 10.1016/j.isatra.2009.01.008
M3 - Article
C2 - 19254796
AN - SCOPUS:67349085730
VL - 48
SP - 264
EP - 272
JO - ISA Transactions
JF - ISA Transactions
SN - 0019-0578
IS - 3
ER -