{"title":"Hybrid Modeling and Optimal Control of a Two-Tank System as a Switched System","authors":"H. Mahboubi, B. Moshiri, A. Khaki Seddigh","volume":11,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":3694,"pagesEnd":3700,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/6","abstract":"In the past decade, because of wide applications of\nhybrid systems, many researchers have considered modeling and\ncontrol of these systems. Since switching systems constitute an\nimportant class of hybrid systems, in this paper a method for optimal\ncontrol of linear switching systems is described. The method is also\napplied on the two-tank system which is a much appropriate system\nto analyze different modeling and control techniques of hybrid\nsystems. Simulation results show that, in this method, the goals of\ncontrol and also problem constraints can be satisfied by an\nappropriate selection of cost function.","references":"[1] X. Xu and P. J. Antsaklis, \"Optimal control of switched systems based\non parameterization of the switching instants,\" IEEE Trans. Automat.\nContr., vol. 49, no. 1, pp. 2-16, 2004.\n[2] A. Bemporad, F. Borrelli, and M. Morari. Optimal controllers for hybrid\nsystems: stability and piecewise linear explicit form. In Proceedings of\nthe 39th IEEE Conference on Decision and Control, pages 1810-1815,\n2000.\n[3] A. Giua, C. Seatzu, and C. Van Der Mee. Optimal control of switched\nautonomous linear systems. In Proceedings of the 40th IEEE Conference\non Decision and Control, pages 2472-2477, 2001.\n[4] A. Giua, C. Seatzu, and C. Van Der Mee. Optimal control of\nautonomous linear systems switched with a pre-assigned finite sequence.\nIn Proceedings of the 2001 IEEE International Symposium on Intelligent\nControl, pages 144-149, 2001.\n[5] S. Hedlund and A. Rantzer. Optimal control of hybrid system. In\nProceedings of the 38th IEEE Conference on Decision and Control,\npages 3972-3977, 1999.\n[6] M.S. Branicky, V.S. Borkar, and S.K. Mitter. A unified framework for\nhybrid control: model and optimal control theory. IEEE Transactions on\nAutomatic Control, 43(1):31-45, January 1998.\n[7] B. Piccoli. Hybrid systems and optimal control. In Proceedings of the\n37th IEEE Conference on Decision and Control, pages 13-18, 1998.\n[8] X. Xu and P.J. Antsaklis. An approach for solving general switched\nlinear quadratic optimal control problems. In Proceedings of the 40th\nIEEE Conference on Decision and Control, pages 2478-2483, 2001.\n[9] X. Xu and P.J. Antsaklis. Optimal control of switched systems: new\nresults and open problems. In Proceedings of the 2000 American\nControlConference, pages 2683-2687, 2000\n[10] X. Xu and P.J. Antsaklis. Optimal control of switched systems via\nnonlinear optimization based on direct differentiations of value\nfunctions. International Journal of Control, 75(16\/17):1406-1426, 2002.\n[11] X. Xu and P.J. Antsaklis. Results and perspectives on computational\nmethods for optimal control of switched systems. In Hybrid Systems:\nComputation and Control (HSCC 2003), LNCS 2623, pages 540-555,\nSpringer, 2003.\n[12] X. Xu. Analysis and design of switched systems. PhD thesis, University\nof Notre Dame, August 2001. Also available at:\nhttp:\/\/ece.bd.psu.edu\/_xu\/\n[13] T. Bas\u252c\u00a9ar and G.J. Olsder. Dynamic Noncooperative Game Theory,\nSecond Edition. SIAM, 1999.\n[14] O. Stursberg and S. Engell, \"Optimal Control of Switched Continues\nSystems using Mixed-Integer Programing,\" in Proc. 42nd IEEE\nConference on Decision and Control, Hawaii USA, 2003, pp. 640-645\n[15] Domenico Mignone \"Control and Estimation of Hybrid Systems with\nmathematical Optimization\", PhD Thesis, Swiss Federal Institute of\nTechnology Zurich, 2002\n[16] J. Till, S. Engell, S. Panek and Olaf Stursberg , \"Applied hybrid system\noptimization: an empirical investigation of complexity,\" Control\nEngineering Practice, vol. 12, pp. 1291-1303,2004.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 11, 2007"}