H2/Hinf Optimization of System for Stabilization of Moving Vehicles Equipment Using Two Types of Penalty Functions
Keywords:stabilization system, optimization, operating requirements, penalty function, error, moment stiffness
The article deals with features of H2/Hinf optimization of the stabilization system using two types of penalty function directed on provision of both the system’s stability and operating characteristics given to the system. Researched systems are assigned for stabilization of equipment operated on moving vehicles. The novelty of the research is introducing a new type of penalty function. The expressions for basic operating requirements are represented. The choice of the optimization algorithms is grounded including the Nelder–Mead method and genetic algorithm. The features of the genetic algorithm are described. The comparative analysis of optimization by both methods has been done. The optimization results in the form of transient processes are represented. The obtained results can be useful for systems assigned for stabilization of equipment operated on moving vehicles of the wide class.
J. M. Hilkert, “Inertially Stabilized Platform Technology,” Magazine IEEE Control Systems, no 1, vol. 28, 2008, pp. 26–46. https://doi.org/10.1109/MCS.2007.910256
A. Singh, R. Takhur, S. Chatterjee, and A. Singh, “Design and Optimal Control of Line of Sight Stabilization of Moving Target,” IOSR-JEEE, no. 5, vol. 9, pp. 27–32, 2014. https://doi.org/10.9790/1676-09532732
M. K. Masten, “Inertially stabilized platforms for optical imaging systems,” IEEE Control Systems Magazine, no. 1, vol. 28, 2008, pp. 47–64. https://doi.org/10.1109/MCS.2007.910201
O. A. Sushchenko, “Computer-aided design of robust system for stabilization of information-measuring devices at moving base,” Proceedings of the National Aviation University, no. 3, 2013, pp. 41–48. https://doi.org/10.18372/2306-1472.56.5419.
H. G. Wang and T. G. Williams, “Strategic inertial navigation systems,” IEEE Control Systems Magazine,” vol. 28, no. 1, 2008, pp. 65–85. https://doi.org/10.1109/MCS.2007.910206.
E. Altug, J. P. Ostrowsky, and C. P. J. P. Taylo, “Control of a quadrotor helicopter using dual camera visual feedback,” The International Journal of Robotics Research, no. 5, vol. 24, May 2005, pp. 329–341. https://doi.org/10.1177/0278364905053804
A. A. Tunik and O. A. Sushchenko, “Usage of vector parametric optimization for robust stabilization of ground vehicles information-measuring devices,” Proceedings of the National Aviation University, no. 4, 2013, pp. 23–32. https://doi.org/10.18372/2306-1472.57.5530.
S. Skogestad and I. Postlethwaite, Multivariable Feedback Control. New York: Jonh Wiley and Sons, 2001, 572 p.
D. W. Gu, P. Petkov, and M. Konstantinov, Robust control design with MATLAB. Berlin: Springer, 2003, 465 p.
V. M. Hernandez–Guzman and R. Silva–Ortegoza, Automatic Control with Experiments, Cham: Springer, 2019, 992 p. https://doi.org/10.1007/978-3-319-75804-6
O. A. Sushchenko and O. V. Shyrokyi, H2/H∞ optimization of system for stabilization and control by line-of-sight orientation of devices operated at UAV, 2015 IEEE 3rd International Conference Actual Problems of Unmanned Aerial Vehicles Developments (APUAVD), 2015, pp. 235-238. https://doi.org/10.1109/APUAVD.2015.7346608
M. Mutingi and C. Mbohwa, Grouping Genetic Algorithms, Cham: Springer, 243 p.
O. A. Sushchenko, “Design of robust two-axis systems for stabilization and tracking of information-measuring devices,” Proceedings of the National Aviation University, 2014, no. 1, pp. 31–37. https://doi.org/10.18372/2306-1472.58.6670.
O. A. Sushchenko, “Robust control of angular motion of platform with payload based on H∞-synthesis”, Journal of Automation and Information Sciences, 2016, 48(12), pp. 13–26. https://doi.org/10.1615/JAutomatInfScien.v48.i12.20.
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