An approximate solution of the affine-quadratic control problem based on the concept of optimal damping
References
- Aguilar-Ibanez, C. and Suarez-Castanon, M.S. (2019). A trajectory planning based controller to regulate an uncertain overhead crane system, International Journal of Applied Mathematics and Computer Science 29(4): 693–702, DOI: 10.2478/amcs-2019-0051.10.2478/amcs-2019-0051
- Balakrishnan, A. (1966). On the controllability of a nonlinear system, Proceedings of the National Academy of Sciences of the USA 55(3): 465–468.10.1073/pnas.55.3.46522417016591336
- Collado, J., Lozano, R. and Fantoni, I. (2000). Control of convey-crane based on passivity, Proceedings of the American Control Conference, ACC 2000, Chicago, USA, pp. 1260–1264.
- Do, K. and Pan, J. (2009). Control of Ships and Underwater Vehicles. Design for Underactuated and Nonlinear Marine Systems, Springer-Verlag, London.10.1007/978-1-84882-730-1
- Fantoni, I. and Lozano, R. (2002). Non-linear Control for Underactuated Mechanical Systems, Springer-Verlag, London.10.1007/978-1-4471-0177-2
- Fossen, T.I. (1994). Guidance and Control of Ocean Vehicles, John Wiley and Sons, New York.
- Geering, H.P. (2007). Optimal Control with Engineering Applications, Springer-Verlag, Berlin/Heidelberg.
- Hahn, W. and Baartz, A.P. (1967). Stability of Motion, Springer, London.10.1007/978-3-642-50085-5
- Khalil, H. (2002). Nonlinear Systems, Prentice-Hall, Englewood Cliffs.
- Lewis, F.L., Vrabie, D.L. and Syrmos, V.L. (2012). Optimal Control, John Wiley and Sons, Hoboken.10.1002/9781118122631
- Lukes, D.L. (1969). Optimal regulation of nonlinear dynamic systems, SIAM Journal on Control and Optimization 7(1): 75–100.10.1137/0307007
- Sepulchre, R., Jankovic, M. and Kokotovic, P. (1997). Constructive Nonlinear Control, Springer, New York.10.1007/978-1-4471-0967-9
- Slotine, J. and Li, W. (1991). Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs.
- Sontag, E.D. (1998). Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2nd Edition, Springer, New York.
- Sotnikova, M.V. and Veremey, E.I. (2013). Dynamic positioning based on nonlinear MPC, IFAC Proceedings Volumes 9(1): 31–36.
- Veremey, E.I. (2017). Separate filtering correction of observer-based marine positioning control laws, International Journal of Control 90(8): 1561–1575.10.1080/00207179.2016.1214749
- Veremey, E.I. (2019). Special spectral approach to solutions of SISO LTI h-optimization problems, International Journal of Automation and Computing 16(1): 112–128.10.1007/s11633-017-1110-y
- Veremey, E.I. and Sotnikova, M.V. (2019). Optimization approach to guidance and control of marine vehicles, WIT Transactions on the Built Environment 187(1): 45–56.10.2495/MT190051
- Wasilewski, M., Pisarski, D., Konowrocki, R. and Bayer, C.I. (2019). A new efficient adaptive control of torsional vibrations induced by switched nonlinear disturbances, International Journal of Applied Mathematics and Computer Science 29(2): 285–303, DOI: 10.2478/amcs-2019-0021.10.2478/amcs-2019-0021
- Zubov, V.I. (1962). Oscillations in Nonlinear and Controlled Systems, Sudpromgiz, Leningrad, (in Russian).
- Zubov, V.I. (1966). Theory of Optimal Control of Ships and Other Moving Objects, Sudpromgiz, Leningrad, (in Russian).
- Zubov, V.I. (1978). Théorie de la Commande, Mir, Moscow.
Language: English
Page range: 5 - 15
Submitted on: Jun 5, 2020
Accepted on: Nov 26, 2020
Published on: Apr 3, 2021
Published by: Sciendo
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