Abstract
This paper concerns an intelligent digital redesign (IDR) technique for a Takagi-Sugeno fuzzy observer-based output-feedback control (FOBOFC) system. The term IDR involves converting an existing analog control into an equivalent digital counterpart in the sense of state-matching. The IDR problem is herein viewed as a minimization problem of the norm distances between nonlinearly interpolated linear operators to be matched. Its constructive condition with global rather than local state-matching is formulated in terms of bilinear matrix inequalities. The main features of the proposed method are that the state estimation error in the plant dynamics is considered in the IDR condition that plays a crucial role in the performance improvement; the stability property is preserved by the proposed IDR algorithm; the separation principle is shown when the premise variables are measurable; finally, the IDR condition for a more general FOBOFC - an estimated premise variable case is conducted. A numerical example is demonstrated to visualize the feasibility of the developed methodology.
| Original language | English |
|---|---|
| Pages (from-to) | 701-716 |
| Number of pages | 16 |
| Journal | IEEE Transactions on Fuzzy Systems |
| Volume | 13 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2005 Oct 1 |
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All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Electrical and Electronic Engineering
- Artificial Intelligence
Cite this
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Digitalizing a fuzzy observer-based output-feedback control : Intelligent digital redesign approach. / Lee, Ho Jae; Park, Jin Bae; Joo, Young Hoon.
In: IEEE Transactions on Fuzzy Systems, Vol. 13, No. 5, 01.10.2005, p. 701-716.Research output: Contribution to journal › Article
TY - JOUR
T1 - Digitalizing a fuzzy observer-based output-feedback control
T2 - Intelligent digital redesign approach
AU - Lee, Ho Jae
AU - Park, Jin Bae
AU - Joo, Young Hoon
PY - 2005/10/1
Y1 - 2005/10/1
N2 - This paper concerns an intelligent digital redesign (IDR) technique for a Takagi-Sugeno fuzzy observer-based output-feedback control (FOBOFC) system. The term IDR involves converting an existing analog control into an equivalent digital counterpart in the sense of state-matching. The IDR problem is herein viewed as a minimization problem of the norm distances between nonlinearly interpolated linear operators to be matched. Its constructive condition with global rather than local state-matching is formulated in terms of bilinear matrix inequalities. The main features of the proposed method are that the state estimation error in the plant dynamics is considered in the IDR condition that plays a crucial role in the performance improvement; the stability property is preserved by the proposed IDR algorithm; the separation principle is shown when the premise variables are measurable; finally, the IDR condition for a more general FOBOFC - an estimated premise variable case is conducted. A numerical example is demonstrated to visualize the feasibility of the developed methodology.
AB - This paper concerns an intelligent digital redesign (IDR) technique for a Takagi-Sugeno fuzzy observer-based output-feedback control (FOBOFC) system. The term IDR involves converting an existing analog control into an equivalent digital counterpart in the sense of state-matching. The IDR problem is herein viewed as a minimization problem of the norm distances between nonlinearly interpolated linear operators to be matched. Its constructive condition with global rather than local state-matching is formulated in terms of bilinear matrix inequalities. The main features of the proposed method are that the state estimation error in the plant dynamics is considered in the IDR condition that plays a crucial role in the performance improvement; the stability property is preserved by the proposed IDR algorithm; the separation principle is shown when the premise variables are measurable; finally, the IDR condition for a more general FOBOFC - an estimated premise variable case is conducted. A numerical example is demonstrated to visualize the feasibility of the developed methodology.
UR - http://www.scopus.com/inward/record.url?scp=27644446224&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=27644446224&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2005.856556
DO - 10.1109/TFUZZ.2005.856556
M3 - Article
VL - 13
SP - 701
EP - 716
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
SN - 1063-6706
IS - 5
ER -