Abstract
An approach of design of stable of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers. Analysis of designed nonlinear second-order control systems is offered. As more important the integrators in series, canonical controllable form and Jordan forms are considered. The analysis resumes that due to added controllers systems become stable and insensitive to any disturbance of parameters. The results of MATLAB simulation of design of control systems of epidemic spread with linear and nonlinear dynamic plants are given. The results of simulation confirm the efficiency of offered method of design.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC |
| Pages | 133-138 |
| Number of pages | 6 |
| Publication status | Published - 2009 |
| Externally published | Yes |
| Event | 28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009 - Innsbruck, Austria Duration: Feb 16 2009 → Feb 18 2009 |
Other
| Other | 28th IASTED International Conference on Modelling, Identification, and Control, MIC 2009 |
|---|---|
| Country | Austria |
| City | Innsbruck |
| Period | 2/16/09 → 2/18/09 |
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Keywords
- Modelling
- Non-linear control
- Robust control
- Stability
ASJC Scopus subject areas
- Computer Science Applications
- Software
- Modelling and Simulation
Cite this
Design of nonlinear robust control in a class of structurally stable catastrophe-functions. / Ten, Viktor.
Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC. 2009. p. 133-138.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Design of nonlinear robust control in a class of structurally stable catastrophe-functions
AU - Ten, Viktor
PY - 2009
Y1 - 2009
N2 - An approach of design of stable of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers. Analysis of designed nonlinear second-order control systems is offered. As more important the integrators in series, canonical controllable form and Jordan forms are considered. The analysis resumes that due to added controllers systems become stable and insensitive to any disturbance of parameters. The results of MATLAB simulation of design of control systems of epidemic spread with linear and nonlinear dynamic plants are given. The results of simulation confirm the efficiency of offered method of design.
AB - An approach of design of stable of control systems with ultimately wide ranges of uncertainly disturbed parameters is offered. The method relies on using of nonlinear structurally stable functions from catastrophe theory as controllers. Analysis of designed nonlinear second-order control systems is offered. As more important the integrators in series, canonical controllable form and Jordan forms are considered. The analysis resumes that due to added controllers systems become stable and insensitive to any disturbance of parameters. The results of MATLAB simulation of design of control systems of epidemic spread with linear and nonlinear dynamic plants are given. The results of simulation confirm the efficiency of offered method of design.
KW - Modelling
KW - Non-linear control
KW - Robust control
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=74549129365&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=74549129365&partnerID=8YFLogxK
M3 - Conference contribution
SN - 9780889867826
SP - 133
EP - 138
BT - Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC
ER -