Simple multivariable adaptive control with application to flexible structures

No AccessEngineering NoteAdaptive Suppression of Linear Structural Vibration Using Control Moment GyroscopesQuan Hu, Yinghong Jia and Shijie XuQuan HuSchool of Astronautics, Beihang University, 100191 Beijing, People's Republic of China, Yinghong JiaSchool of Astronautics, Beihang University, 100191 Beijing, People's Republic of China and Shijie XuSchool of Astronautics, Beihang University, 100191 Beijing, People's Republic of ChinaPublished Online:25 Apr 2014https://doi.org/10.2514/1.62267SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations About References [1] D'Eleuterio G. M. T. and Hughes P. C., "Dynamics of Gyroelastic Continua," Journal of Applied Mechanics, Vol. 51, No. 2, June 1984, pp. 412–422. JAMCAV 0021-8936 Google Scholar[2] D'Eleuterio G. M. T. and Hughes P. C., "Dynamics of Gyroelastic Spacecraft," Journal of Guidance, Control, and Dynamics, Vol. 10, No. 4, 1987, pp. 401–405. doi:https://doi.org/10.2514/3.20231 JGCDDT 0162-3192 LinkGoogle Scholar[3] Peck M., "Practicable Gyroelastic Technology," 27th Annual AAS Guidance and Control Conference, AAS Paper 2004-023, Feb. 2004. Google Scholar[4] Damaren C. J. and D'Eleuterio G. M. T., "Controllability and Observability of Gyroelastic Vehicles," Journal of Guidance, Control, and Dynamics, Vol. 14, No. 5, 1991, pp. 886–894. doi:https://doi.org/10.2514/3.20728 JGCDDT 0162-3192 LinkGoogle Scholar[5] Damaren C. J. and D'Eleuterio G. M. T., "Optimal Control of Large Space Structures Using Distributed Gyricity," Journal of Guidance, Control, and Dynamics, Vol. 12, No. 5, 1989, pp. 723–731. JGCDDT 0162-3192 LinkGoogle Scholar[6] Yang L. F., Mikulas M. M. and Park K. C., "Slewing Maneuvers and Vibration Control of Space Structures by Feedforward/Feedback Moment-Gyro Controls," Journal of Dynamic Systems, Measurement, and Control, Vol. 117, No. 3, 1995, pp. 343–351. doi:https://doi.org/10.1115/1.2799125 JDSMAA 0022-0434 CrossrefGoogle Scholar[7] Shi J. F. and Damaren C. J., "Control Law for Active Structural Damping Using a Control Moment Gyro," Journal of Guidance, Control, and Dynamics, Vol. 28, No. 3, 2005, pp. 550–553. doi:https://doi.org/10.2514/1.11269 JGCDDT 0162-3192 LinkGoogle Scholar[8] Sobel K., Kaufman H. and Mabus L., "Adaptive Control for a Class of MIMO Systems," IEEE Transactions on Aerospace, Vol. 18, No. 2, 1982, pp. 576–590. CrossrefGoogle Scholar[9] Barkana I., Kaufman H. and Balas M., "Model Reference Adaptive Control of Large Structural Systems," Journal of Guidance, Control, and Dynamics, Vol. 6, No. 2, 1983, pp. 112–118. JGCDDT 0162-3192 LinkGoogle Scholar[10] Balas M., "Direct Model Reference Adaptive Control in Infinite-Dimensional Linear Spaces," Journal of Mathematical Analysis and Applications, Vol. 196, No. 1, 1995, pp. 153–171. doi:https://doi.org/10.1006/jmaa.1995.1403 JMANAK 0022-247X CrossrefGoogle Scholar[11] Barkana I. and Ben-Asher J. Z., "Simple Adaptive Control Applications to Large Flexible Structures," Journal of Guidance, Control, and Dynamics, Vol. 34, No. 6, 2011, pp. 1929–1932. doi:https://doi.org/10.2514/1.54217 JGCDDT 0162-3192 LinkGoogle Scholar[12] Livneh R. and Slater G. L., "Some Conditions for Strictly Positive Real and Almost Strictly Positive Real Structures," IEEE International Conference on Systems Engineering, Vol. 1, IEEE Publications, Piscataway, NJ, 1990, pp. 81–85. Google Scholar[13] Mehiel E. A. and Balas M. J., "Determining Strictly Positive Realness from System Modal Characteristics," Journal of Guidance, Control, and Dynamics, Vol. 30, No. 5, 2007, pp. 1539–1542. doi:https://doi.org/10.2514/1.28240 JGCDDT 0162-3192 LinkGoogle Scholar[14] Hu Q., Jia Y. and Xu S., "Recursive Dynamics Algorithm for Multibody Systems with Variable-Speed Control Moment Gyroscopes" Journal of Guidance, Control, and Dynamics, Vol. 35, No. 5, 2013, pp. 1388–1398. JGCDDT 0162-3192 LinkGoogle Scholar[15] Damaren C. J., "Optimal Control Formulation for Lightly Damped, Gyroelastic Continua," M.S. Thesis, Inst. for Aerospace Studies, Univ. of Toronto, Downsview, ON, Canada, 1987. Google Scholar[16] Wen J. T., "Time Domain and Frequency Domain Conditions for Strict Positive Realness," IEEE Transactions on Automatic Control, Vol. 33, No. 10, 1988, pp. 988–992. doi:https://doi.org/10.1109/9.7263 IETAA9 0018-9286 CrossrefGoogle Scholar[17] Anderson B. D. O. and Vongpanitlerd S., Network Analysis and Synthesis, Prentice–Hall, Englewood Cliffs, NJ, 1973, pp. 215–220. Google Scholar[18] Broussard J. R. and O'Brien M. J., "Feedforward Control to Track the Output of a Forced Model," IEEE Transactions on Automatic Control, Vol. 25, No. 4, 1980, pp. 851–853. doi:https://doi.org/10.1109/TAC.1980.1102409 IETAA9 0018-9286 CrossrefGoogle Scholar Previous article Next article

Multivariable adaptive control based consensus flight control system for UAVs formation

A Multivariable Adaptive digital Controller to optimize DC-DC converter switching frequency and dead-time at the same time, for maximum efficiency under variable conditions, is presented in this paper. The Multivariable Adaptive digital Controller (MVAC) adaptively adjusts the DC-DC converter switching frequency and dead-time while tracking the converter minimum input power (maximum efficiency) point under variable conditions including variable load, variable input voltage and variable temperatures. In this paper, the MVAC method is discussed and analyzed. MVAC digital control algorithm and experimental implementation are presented.

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Underwater glider platform represents the maturing technology with a large cost saving over current underwater sampling process. It can survey and monitor the sea environment cost-effective manner combining survey capabilities, simultaneous water sampling and environmental data gathering capacities. It can perform a wide range of fully automated monitoring data measurement over an extended period of time. This paper will focus on the design of multivariable underactuated nonlinear adaptive control using U-model methodologies. Underwater glider control, modelling and identification approach was reviewed in order to formulate the design, development and control approach of underwater glider development using multivariable adaptive U-model nonlinear control approach. U-model methodology simplifies the control synthesis with the influence of the uncertainties and external disturbances by selecting appropriate control structures. Most of the autonomous underwater vehicle (AUV) neglected the coupling effect of the dynamics during process modelling while U-model enables to include the coupling effect using the inverse Jacobian matrix. Thus contributes towards the underactuated nonlinear adaptive control development and process modelling.

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