Abstract
Sensitivity of linear continuous-time SISO feedback systems, subject to control and measurement noise, is analyzed by deriving the lower bounds of Bode-like integrals via an information-theoretic approach. Bode integrals of four different sensitivity-like functions are employed to gauge the performance limitations of feedback systems. When the signals of the control system are stationary Gaussian, these four different Bode-like integrals can be represented as the differences between mutual information rates. These mutual information rates and hence the corresponding Bode-like integrals are proven to be bounded below by the unstable poles and zeros of the plant model, if the signals of the control system are wide-sense stationary.
| Original language | English (US) |
|---|---|
| Article number | 104548 |
| Journal | Systems and Control Letters |
| Volume | 133 |
| DOIs | |
| State | Published - Nov 2019 |
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Keywords
- Bode-like integrals
- Information-theoretic method
- Linear continuous-time SISO
- Robust control
- Sensitivity analysis
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science(all)
- Mechanical Engineering
- Electrical and Electronic Engineering
Cite this
Sensitivity analysis of linear continuous-time feedback systems subject to control and measurement noise : An information-theoretic approach. / Wan, Neng; Li, Dapeng; Hovakimyan, Naira.
In: Systems and Control Letters, Vol. 133, 104548, 11.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Sensitivity analysis of linear continuous-time feedback systems subject to control and measurement noise
T2 - An information-theoretic approach
AU - Wan, Neng
AU - Li, Dapeng
AU - Hovakimyan, Naira
PY - 2019/11
Y1 - 2019/11
N2 - Sensitivity of linear continuous-time SISO feedback systems, subject to control and measurement noise, is analyzed by deriving the lower bounds of Bode-like integrals via an information-theoretic approach. Bode integrals of four different sensitivity-like functions are employed to gauge the performance limitations of feedback systems. When the signals of the control system are stationary Gaussian, these four different Bode-like integrals can be represented as the differences between mutual information rates. These mutual information rates and hence the corresponding Bode-like integrals are proven to be bounded below by the unstable poles and zeros of the plant model, if the signals of the control system are wide-sense stationary.
AB - Sensitivity of linear continuous-time SISO feedback systems, subject to control and measurement noise, is analyzed by deriving the lower bounds of Bode-like integrals via an information-theoretic approach. Bode integrals of four different sensitivity-like functions are employed to gauge the performance limitations of feedback systems. When the signals of the control system are stationary Gaussian, these four different Bode-like integrals can be represented as the differences between mutual information rates. These mutual information rates and hence the corresponding Bode-like integrals are proven to be bounded below by the unstable poles and zeros of the plant model, if the signals of the control system are wide-sense stationary.
KW - Bode-like integrals
KW - Information-theoretic method
KW - Linear continuous-time SISO
KW - Robust control
KW - Sensitivity analysis
UR - http://www.scopus.com/inward/record.url?scp=85073758903&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85073758903&partnerID=8YFLogxK
U2 - 10.1016/j.sysconle.2019.104548
DO - 10.1016/j.sysconle.2019.104548
M3 - Article
AN - SCOPUS:85073758903
VL - 133
JO - Systems and Control Letters
JF - Systems and Control Letters
SN - 0167-6911
M1 - 104548
ER -