Abstract
VSS observers are considered for continuous-time systems, in which the nominal plant model is linear, but there exist bounded plant and output uncertainties. We first present a design method of a VSS observer based on use of some extensions of a conventional approach that uses an algebraic Lyapunov equation. It is then shown that such a method cannot be successfully applied to the system with any linear part, if we desire to use a unique solution to the algebraic Lyapunov equation. Namely, this method is only applicable to a restricted class of systems. In order to develop a VSS observer applicable to a wider class of systems, we next propose a design method based on use of an algebraic Riccati equation, associated with a linear filtering problem. A relationship between the two design methods is also discussed. Simulation results show that the proposed method is effective for designing a VSS observer for a second-order nonlinear system with band limited output noise, as the output uncertainty.
| Original language | English |
|---|---|
| Pages (from-to) | 416-424 |
| Number of pages | 9 |
| Journal | JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing |
| Volume | 40 |
| Issue number | 3 |
| Publication status | Published - Sep 1997 |
| Externally published | Yes |
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Keywords
- Algebraic Lyapunov Equation
- Algebraic Riccati Equation
- Nonlinear Observer
- Nonlinear Systems
- Output Uncertainties
- Robust Estimation
- Variable Structure Systems (VSS)
- VSS Observer
ASJC Scopus subject areas
- Industrial and Manufacturing Engineering
- Mechanical Engineering
- Engineering(all)
Cite this
A Design Method of VSS Observer for Continuous-Time Systems with Output Uncertainties. / Watanabe, Keigo.
In: JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing, Vol. 40, No. 3, 09.1997, p. 416-424.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A Design Method of VSS Observer for Continuous-Time Systems with Output Uncertainties
AU - Watanabe, Keigo
PY - 1997/9
Y1 - 1997/9
N2 - VSS observers are considered for continuous-time systems, in which the nominal plant model is linear, but there exist bounded plant and output uncertainties. We first present a design method of a VSS observer based on use of some extensions of a conventional approach that uses an algebraic Lyapunov equation. It is then shown that such a method cannot be successfully applied to the system with any linear part, if we desire to use a unique solution to the algebraic Lyapunov equation. Namely, this method is only applicable to a restricted class of systems. In order to develop a VSS observer applicable to a wider class of systems, we next propose a design method based on use of an algebraic Riccati equation, associated with a linear filtering problem. A relationship between the two design methods is also discussed. Simulation results show that the proposed method is effective for designing a VSS observer for a second-order nonlinear system with band limited output noise, as the output uncertainty.
AB - VSS observers are considered for continuous-time systems, in which the nominal plant model is linear, but there exist bounded plant and output uncertainties. We first present a design method of a VSS observer based on use of some extensions of a conventional approach that uses an algebraic Lyapunov equation. It is then shown that such a method cannot be successfully applied to the system with any linear part, if we desire to use a unique solution to the algebraic Lyapunov equation. Namely, this method is only applicable to a restricted class of systems. In order to develop a VSS observer applicable to a wider class of systems, we next propose a design method based on use of an algebraic Riccati equation, associated with a linear filtering problem. A relationship between the two design methods is also discussed. Simulation results show that the proposed method is effective for designing a VSS observer for a second-order nonlinear system with band limited output noise, as the output uncertainty.
KW - Algebraic Lyapunov Equation
KW - Algebraic Riccati Equation
KW - Nonlinear Observer
KW - Nonlinear Systems
KW - Output Uncertainties
KW - Robust Estimation
KW - Variable Structure Systems (VSS)
KW - VSS Observer
UR - http://www.scopus.com/inward/record.url?scp=0031223537&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031223537&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0031223537
VL - 40
SP - 416
EP - 424
JO - JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing
JF - JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing
SN - 1344-7653
IS - 3
ER -