QUANTITATIVE CONTROLLABILITY INDEXES OF NONLINEAR SYSTEMS
- Authors: Pirogova A.D1, Chetverikov V.N1
-
Affiliations:
- Bauman Moscow State Technical University
- Issue: Vol 60, No 11 (2024)
- Pages: 1519-1530
- Section: CONTROL THEORY
- URL: https://ogarev-online.ru/0374-0641/article/view/273227
- DOI: https://doi.org/10.31857/S0374064124110076
- EDN: https://elibrary.ru/JEBIUY
- ID: 273227
Cite item
Abstract
About the authors
A. D Pirogova
Bauman Moscow State Technical University
Email: pirogova_arina@mail.ru
Russia
V. N Chetverikov
Bauman Moscow State Technical University
Email: chetverikov.vl@yandex.ru
Russia
References
- Kalman, R.E. Controllability of linear dynamical systems / R.E. Kalman, Y.C. Ho, K.S. Narendra // Contribut. to the Theory of Differ. Equat. — 1963. — V. 1, № 2. — P. 189-213.
- Muller, P.C. Analysis and optimization of certain qualities of controllability and observability for linear dynamical systems / P.C. Muller, H.I. Weber // Automatica. — 1972. — V. 8, № 3. — P. 237-246.
- Rhodes, I.B. Some quantitative measures of controllability and observability and their implications / I.B. Rhodes // Contr. Int. Fed. Autom. Contr. — Kyoto, Japan, 24-28 August 1981. — P. 24-28.
- Schulz, G. Dislocated actuator/sensor positioning and feedback design for flexible structures / G. Schulz, G.J. Heimbold // Guid. Control Dyn. — 1983. — V. 6. — P. 361-367.
- Kondon, S. The positioning of sensors and actuators in the vibration control of flexible systems / S. Kondon, C. Yatomi, K. Inoue // JSME Int. J. — 1990. — V. 33. — P. 145-152.
- Xing, G.Q. Actuator placement using degree of controllability for discrete-time systems / G.Q. Xing, P.M. Bainum // J. Dyn. Syst. Meas. Control. — 1996. — V. 79. — P. 51-88.
- Kirillov, O.E. and Lisienko, V.G., Quantitative analysis of controllability and its application in approximate decomposition of linear dynamic systems, Automation and Remote Control, January 1997, vol. 1, no. 1, pp. 4756.
- Lee, H. Degree of controllability for linear unstable systems / H. Lee, Y. Park // J. Vib. Control. — 2016. — V. 22. — P. 1928-1934.
- Zhang, L. A new method for determining the degree of controllability of state variables for the LQR problem using the duality theorem / L. Zhang, K.A. Neusypin, M.S. Selezneva // Appl. Sci. — 2020. — V. 10. — Art. 5234.
- Voronin, A.V., Qualimetry of accessibility and disturbance of linear dynamic systems, Izv. Tomsk. politeh. univ. (Proceedings of the Tomsk Polytechnic University), 2013, vol. 323, no. 5, pp. 74-78.
- Velishchanskiy, M.A. and Chetverikov, V.N., Searching for parameters of a model with the best local controllability, Differ. Equat., 2023, vol. 59, no. 12, pp. 1758-1768.
- Fossen, T.I. Guidance and Control of Ocean Vehicles / T.I. Fossen. — Chichester : John Wiley and Sons, 1994. — 480 p.
Supplementary files
