Abstract
This paper introduces the definition of the nonstandard linear discrete-time singularly perturbed system and then shows how to solve the corresponding linear-quadratic optimal control problem since the methodology that exists in the literature for the solution of the standard singularly perturbed discrete linear-quadratic optimal control problem can not be extended to the corresponding nonstandard counterpart. The solution of the optimal control problem is obtained in terms of the pure-slow and pure-fast, reduced-order, continuous-time, algebraic Riccati equations. An example is included to illustrate the efficiency of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 163-174 |
| Number of pages | 12 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm |
| Volume | 9 |
| Issue number | 2 |
| Publication status | Published - 2002 Jun 1 |
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Keywords
- Optimal control
- Order reduction
- Parallel computation
- Riccati equation
- Singular perturbation
ASJC Scopus subject areas
- Applied Mathematics
- Discrete Mathematics and Combinatorics
Cite this
Optimal Control of Linear Nonstandard Singularly Perturbed Discrete Systems. / Lim, Myo Taeg; Kang, Chung Gu; Kim, Beom S.
In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm, Vol. 9, No. 2, 01.06.2002, p. 163-174.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Optimal Control of Linear Nonstandard Singularly Perturbed Discrete Systems
AU - Lim, Myo Taeg
AU - Kang, Chung Gu
AU - Kim, Beom S.
PY - 2002/6/1
Y1 - 2002/6/1
N2 - This paper introduces the definition of the nonstandard linear discrete-time singularly perturbed system and then shows how to solve the corresponding linear-quadratic optimal control problem since the methodology that exists in the literature for the solution of the standard singularly perturbed discrete linear-quadratic optimal control problem can not be extended to the corresponding nonstandard counterpart. The solution of the optimal control problem is obtained in terms of the pure-slow and pure-fast, reduced-order, continuous-time, algebraic Riccati equations. An example is included to illustrate the efficiency of the proposed method.
AB - This paper introduces the definition of the nonstandard linear discrete-time singularly perturbed system and then shows how to solve the corresponding linear-quadratic optimal control problem since the methodology that exists in the literature for the solution of the standard singularly perturbed discrete linear-quadratic optimal control problem can not be extended to the corresponding nonstandard counterpart. The solution of the optimal control problem is obtained in terms of the pure-slow and pure-fast, reduced-order, continuous-time, algebraic Riccati equations. An example is included to illustrate the efficiency of the proposed method.
KW - Optimal control
KW - Order reduction
KW - Parallel computation
KW - Riccati equation
KW - Singular perturbation
UR - http://www.scopus.com/inward/record.url?scp=0242543922&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0242543922&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0242543922
VL - 9
SP - 163
EP - 174
JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
SN - 1492-8760
IS - 2
ER -