Design and Comparison of H ∞/H 2 Controllers for Frigate Rudder Roll Stabilization
Lijun Wang , Nikolaos I. Xiros , Eleftherios K. Loghis
Journal of Marine Science and Application ›› 2019, Vol. 18 ›› Issue (4) : 492 -509.
Design and Comparison of H ∞/H 2 Controllers for Frigate Rudder Roll Stabilization
Roll motion of ships can be distinguished in two parts: an unavoidable part due to their natural movement while turning and an unwanted and avoidable part that is due to encounter with waves and rough seas in general. For the attenuation of the unwanted part of roll motion, ways have been developed such as addition of controllable fins and changes in shape. This paper investigates the effectiveness of augmenting the rudder used for rejecting part of the unwanted roll, while maintaining steering and course changing ability. For this purpose, a controller is designed, which acts through intentional superposition of fast, compared with course change, movements of rudder, in order to attenuate the high-frequency roll effects from encountering rough seas. The results obtained by simulation to exogenous disturbance support the conclusion that the roll stabilization for displacement can be effective at least when displacement hull vessels are considered. Moreover, robust stability and performance is verified for the proposed control scheme over the entire operating range of interest.
Rudder roll stabilization / H ∞/H 2 Controllers / Frigate
| [1] |
|
| [2] |
Bretschneider CL (1959) Wave variability and wave spectra for wind generated gravity waves. Technical report, beach Erosion board, corps, of engineers, 118 |
| [3] |
|
| [4] |
Cowley WE, Lambert TH (1972) The use of rudder as a aoll stabilizer. Proceedings of the 3rd international ship control systems symposium (SCSS’72), Bath, UK, 345–354 |
| [5] |
|
| [6] |
|
| [7] |
|
| [8] |
|
| [9] |
|
| [10] |
|
| [11] |
|
| [12] |
|
| [13] |
|
| [14] |
Kallstrom CG, Schultz WL (1990) An integrated rudder control system for roll damping and maintenance. 9th International Ship Control Systems Symposium (SCSS’90), Bethesda, MD, 9.228–9.296 |
| [15] |
Lauvdal T (1998) Stabilization of linear systems with input magnitude and rate saturations. PhD thesis, Norwegian University of Science and Technology, Trondheim, Norway, 87–96 |
| [16] |
|
| [17] |
Martin RJ (1985) Multivariable control system design for a submarine using active roll control. Master thesis, MIT, Cambridge, Massachusetts, USA, 52–76 |
| [18] |
|
| [19] |
|
| [20] |
|
| [21] |
|
| [22] |
Roberts GN (1992) Ship roll damping using rudder and stabilizing fins. Proceedings of IFAC workshop on control applications in marine systems (CAMS’92), Genoa, Italy, 129–138 |
| [23] |
|
| [24] |
|
| [25] |
|
| [26] |
SNAME (1989) The society of naval architects and marine engineers. Guide for Sea Trials Technical and Research Bulletin No 3–17 |
| [27] |
|
| [28] |
|
| [29] |
Tempo R, Blanchini F (1996) Robustness analysis with real parametric uncertainty. Levine WS (ed) The Control Handbook. IEEE Press, 495–505 |
| [30] |
|
| [31] |
Van Amerongen J, Van Cappelle JC (1981) Mathematical modelling for rudder roll stabilization. Proceedings of the 6th International Ship Control Systems Symposium (SCSS’81), Ottawa, Canada, 238–260 |
| [32] |
|
| [33] |
|
| [34] |
Zhou WW (1987) Identification of nonlinear marine systems. PhD thesis, The Technical University of Denmark, Servolaboratoriet, Lyngby, 97–143 |
| [35] |
|
| [36] |
Zhou K, Doyle JC, Glover K (1996) Robust and optimal control. Prentice-Hall, 365–392 |
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|
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