Design of two–degree–of–freedom robust system for ground vehicle equipment stabilization
DOI:
https://doi.org/10.15587/1729-4061.2016.60633Keywords:
robust stabilization, two–degree–of–freedom systems, ground vehicles, moving platforms with payload, parametrical and coordinate disturbancesAbstract
Features of design of the robust systems for stabilization of the moving platforms with equipment assigned for functioning at the ground vehicles are represented. The problem of design of the two–degree–of–freedom robust stabilization system taking into consideration coordinate disturbances and measurement noise is solved. To achieve this goal the optimization functional including the functions of sensitivity by the coordinate disturbances and the measurement noise was introduced. Taking into consideration the introduced functional the problem of the structural synthesis of the two–degree–of–freedom robust stabilization system is transformed to the standard Н∞–synthesis problem. The generalized plant model in the state space is obtained. This gives the possibility to use the automated tools of the researched problem solving by means of Robust Control Toolbox in the MatLab system. The approach to loop shaping with the desired frequency characteristics is implemented. With this aim the transfer functions of pre– and post–compensators are determined and the augmented plant is formed. Taking into consideration above stated concepts the basic phases of the structural synthesis procedure of the robust system for control by the angular motion of the platform with the observation equipment assigned for operation at the ground vehicles are given. The appropriate mathematical description of the plant in the state space is developed. The robust controller represented as quadruple of the state space matrices is obtained. Modelling results proving the possibility to provide the high system characteristics in difficult conditions of the real operation are represented. The influence of the coordinate disturbances such as the friction moment, unbalance moment, moments caused by irregularities of roads (the road with the long undulations) and terrain (the terrain with hummocks), by which the vehicle moves, is considered. Also the possibility to keep the ability of the system to operation in conditions of the parametric disturbances in the wide range for the changed plant inertia moment and the coefficient of the elastic connection between the actuator and the base, at which the plant (the platform with the observation equipment) is mounted, is shown.
References
- Gawronski, W. (2008). Modeling and Control of Antennas and Telescopes. New York: Springer, 235. doi: 10.1007/978-0-387-78793-0
- Zhou, K, Doyle, J. (1999). Essentials of Robust Control. New Jersey: Prentice Hall, 425.
- Skogestad, S., Postlethwaite, I. (2007). Multivariable Feedback Control. New York: Wiley, 608.
- Gu, D., Petkov, P., Konstantinov, M. M. (2013). Robust Control Design with MATLAB. London: Springer–Verlag, 411. doi: 10.1007/978-1-4471-4682-7
- Hilkert, J. M. (2008). Inertially stabilized platform technology Concepts and principles. IEEE Control Systems Magazine, 28 (1), 26–46. doi: 10.1109/mcs.2007.910256
- Masten, M. K. (2008). Inertially stabilized platforms for optical imaging systems. IEEE Control Systems Magazine, 28 (1), 47–64. doi: 10.1109/mcs.2007.910201
- Debruin, J. (2008). Control systems for mobile Satcom antennas. IEEE Control Systems Magazine, 28 (1), 86–101. doi: 10.1109/mcs.2007.910205
- Wang, H. G., Williams, T. C. (2008). Strategic inertial navigation systems - high-accuracy inertially stabilized platforms for hostile environments. IEEE Control Systems Magazine, 28 (1), 65–85. doi: 10.1109/mcs.2007.910206
- Dai, S.-L., Zhao, J., Dimirovski, G. M. (2009). A descriptor system approach to robust H ∞ control for linear systems with time-varying uncertainties . International Journal of Systems Science, 40 (12), 1293–1306. doi: 10.1080/00207720903040388
- Zhai, D., Zhang, Q.-L., Liu, G.-Y. (2012). Robust stability analysis of linear systems with parametric uncertainty. International Journal of Systems Science, 43 (9), 1683–1688. doi: 10.1080/00207721.2010.549591
- Lv, M., Hu, Y., Liu, P. (2011). Attitude control for unmanned helicopter using h-infinity loop-shaping method. 2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC), 1746–1749. doi: 10.1109/mec.2011.6025819
- Gadewadikar, J., Lewis, F. L., Subbarao, K., Chen, B. M. (2007). Attitude control system design for unmanned aerial vehicles using H–∞ and loop–shaping methods. In Proc. of IEEE International Conference on Control and Automation, 1174–1179. doi: 10.1109/icca.2007.4376545
- Polilov, E. V., Rudnev, E. S., Scorik, S. P. (2011). Robastnoe upravlenie sinchronnim elektroprivodom na osnove – i –optimizatsii, Naukovi pratsi Donetskogo Natsionalnogo Technichnogo Yniversitetu, 305–314.
- Sushchenko, O. A., Saifetdinov, R. A. (2007). Mathematichna model systemi stabilizatsii ruchomogo nazemnogo obekta. Electronika ta systemi upravlinnya, 3 (13), 146–151.
- Sushchenko, O. A. (2009). Algorithm for ground vehicle stabilizer optimal synthesis, Proceedings of the National Aviation University, 4, 23–28.
- Sushchenko, O. A. (2012). Sintez regulyatora z dvoma stupenyami vilnosti dlya stabilizatsii informatsiyno–vimiruvalnih pristroiv, Visnik Natsionalnogo Aviatsiynogo Universiteyu, 1, 46–55.
- Kanade, S. P., Mathew, A. T. (2013). 2DOF H–infinity loop shaping robust control for rocket, Attitude Stabilization International Journal of Aerospace Sciences, 2, 133–134.
- Sushchenko, O. A. (2008). Modeluyvannya zovnishnih zburen u sistemah stabilizatsii ruchomih nazemnih obektiv, Electronika ta systemi upravlinnya, 16, 57–63.
- Doyle, J. C., Glover, K., Khargonekar, P. P., Francis, B. A. (1989). State-space solutions to standard H/sub 2/ and H/sub infinity/control problems. IEEE Transactions on Automatic Control, 34 (8), 831–847. doi: 10.1109/9.29425
- Zames, G. (1981). Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses. IEEE Transactions on Automatic Control, 26 (2), 301–320. doi: 10.1109/tac.1981.1102603
- Glover, K., McFarlane, D. (1989). Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity/-bounded uncertainty. IEEE Transactions on Automatic Control AC, 34 (8), 821–830. doi: 10.1109/9.29424
- Balas, G., Chiang, R., Packard, A., Safonov, M. (2008). Robust Control Toolbox User’s Guide, the Math Works Inc., 182.
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