74
Views
1
CrossRef citations to date
0
Altmetric
Regular papers

Optimal damping stabilisation based on LQR synthesis

ORCID Icon
Pages 1359-1372 | Received 06 Jun 2020, Accepted 23 Nov 2020, Published online: 14 Dec 2020

References

  • Artstein, Z. (1983). Stabilization with relaxed controls. Nonlinear Analysis, 7(11), 1163–1173. https://doi.org/10.1016/0362-546X(83)90049-4
  • Christophersen, F. J. (2006). Optimal control and analysis for constrained piecewise affine systems (Doctoral dissertation, Swiss Federal Institute of Technology (ETH)). Dissertation ETH Zurich No. 16807, Zurich, Switzerland
  • Collado, J., Lozano, R., & Fantoni, I. (2000). Control of convey-crane based on passivity. In Proceedings of the American Control Conference ACC’OO. Chicago, USA, June 20–23.
  • Do, K., & Pan, J. (2009). Control of ships and underwater vehicles. Design for underactuated and nonlinear marine systems. Springer-Verlag.
  • Fantoni, I., & Lozano, R. (2002). Nonlinear control for underactuated mechanical systems. Springer-Verlag.
  • Fossen, T. I. (2011). Handbook of marine craft hydrodynamics and motion control. John Wiley & Sons.
  • Freeman, R. A., & Kokotovic, P. V. (1996). Inverse optimality in robust stabilization. SIAM Journal of Control and Optimization, 34(4), 1365–1391. https://doi.org/10.1137/S0363012993258732
  • Geering, H. P. (2007). Optimal control with engineering applications. Springer-Verlag.
  • Gill, P. E., Murray, W., & Wright, M. H. (2020). Practical optimization. SIAM.
  • Hahn, W., & Baartz, A. P. (1967). Stability of motion. Springer.
  • Khalil, H. (2002). Nonlinear systems. Prentice Hall.
  • Lewis, F. L., Vrabie, D. L., & Syrmos, V. L. (2012). Optimal control. John Wiley & Sons.
  • Sepulchre, R., Jankovic, M., & Kokotovic, P. (1997). Constructive nonlinear control. Springer.
  • Slotine, J., & Li, W. (1991). Applied nonlinear control. Prentice Hall.
  • Sontag, E. D. (1983). A Lyapunov-like characterization of asymptotic controllability. SIAM Journal of Control and Optimization, 21(3), 462–471. https://doi.org/10.1137/0321028
  • Sontag, E. D. (1998). Mathematical control theory: Deterministic finite dimensional systems. Springer.
  • Sotnikova, M. V., & Veremey, E. I. (2013). Dynamic positioning based on nonlinear MPC. IFAC Proceedings Volumes (IFAC PapersOnline), 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. https://doi.org/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. https://doi.org/10.1007/s11633-017-1110-y
  • Veremey, E., & Sotnikova, M. (2019). Optimization approach to guidance and control of marine vehicles. WIT Transactions on the Built Environment, 187, 45–56. https://doi.org/10.2495/MT190051
  • Zubov, V. I. (1962). Oscillations in nonlinear and controlled systems. Sudpromgiz. (in Russian).
  • Zubov, V. I. (1966). Theory of optimal control of ships and other moving objects. Sudpromgiz. (in Russian).
  • Zubov, V. I. (1978). Theorie de la Commande. Mir.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.