Observer-based control design for switched affine systems and applications to DC-DC converters

被引：24
作者：
Yoshimura V.L. [1 ]
Assunção E. [2 ]
Da Silva E.R.P. [2 ]
Teixeira M.C.M. [2 ]
Mainardi Júnior E.I. [3 ]
机构：
[1] Departamento de Eletro-Eletrônica (DAE-E), Instituto Federal de Educação, Ciência e Tecnologia de Mato Grosso (IFMT), Campus Cuiabá, Cuiabá MT 78005-200, Rua Zulmira Canavarros, 95, Centro Norte
[2] Laboratório de Pesquisa em Controle (LPC), Departamento de Engenharia Elétrica, Faculdade de Engenharia, Univ Estadual Paulista (UNESP), Ilha Solteira SP 15385-000, Avenida José Carlos Rossi
[3] Departamento de Eletrônica, Instituto Federal de Educação, Ciência e Tecnologia Catarinense (IFC), Campus Videira, Videira SC 89560-000
来源：
Journal of Control, Automation and Electrical Systems | 2013年 / 24卷 / 04期
基金：
巴西圣保罗研究基金会;
关键词：
DC-DC converters; Linear matrix inequalities; Output feedback; State estimation; Switched affine systems; Switched Luenberger observer;
D O I：
10.1007/s40313-013-0044-z
中图分类号：
学科分类号：
摘要：
This paper deals with the problem of establishing a state estimator for switched affine systems. For that matter, a modification on the Luenberger observer is proposed, the switched Luenberger observer, whose idea is to design one output gain matrix for each mode of the original system. The efficiency of the proposed method relies on a simplification on estimation error which is proved always valid, guaranteeing the estimation error to asymptotically converge to zero, for any initial state and switching law. Next, a dynamic output-dependent switching law is formulated. Then, design methodologies using linear matrix inequalities are proposed, which, to the authors's knowledge, have not yet been applied to this problem. Finally, observers for DC-DC converters are designed and simulated as application examples. © 2013 Brazilian Society for Automatics - SBA.
引用
收藏
页码：535 / 543
页数：8
相关论文
共 39 条
[1]  
Agostinelli M., Priewasser R., Marsili S., Huemer M., Constant switching frequency techniques for sliding mode control in dc-dc converters, Joint 3rd International Workshop on Nonlinear Dynamics and Synchronization and 16th International Symposium on Theoretical Electrical Engineering, pp. 1-5, (2011)
[2]  
Alessandri A., Baglietto M., Battistelli G., Receding-horizon estimation for switching discrete-time linear systems, IEEE Transactions on Automatic Control, 50, 11, pp. 1736-1748, (2005)
[3]  
Alessandri A., Baglietto M., Battistelli G., Luenberger observers for switching discrete-time linear systems, International Journal of Control, 80, 12, pp. 1931-1943, (2007)
[4]  
Apkarian P., Tuan H.D., Bernussou J., Continuous-time analysis, eigenstructure assignment, and {cal H}-{2} synthesis with enhanced linear matrix inequalities (LMI) characterizations, IEEE Transactions on Automatic Control, 46, 12, pp. 1941-1946, (2001)
[5]  
Bako L., Lecoeuche S., A new state observer for switched linear systems using a non-smooth optimization approach, Proceedings of the 50th IEEE Conference on Decision and Control and the 11th European Control Conference, pp. 5329-5336, (2011)
[6]  
Balluchi A., Benvenuti L., Di Benedetto M., Sangiovanni-Vincentelli A., Design of observers for hybrid systems, Hybrid Systems: Computation and Control, Vol. 2289 of Lecture Notes in Computer Science, pp. 59-80, (2002)
[7]  
Bemporad A., Ferrari-Trecate G., Morari M., Observability and controllability of piecewise affine and hybrid systems, IEEE Transactions on Automatic Control, 45, 10, pp. 1864-1876, (2000)
[8]  
Bolzern P., Spinelli W., Quadratic stabilization of a switched affine system about a nonequilibrium point, Proceedings of the 22nd American Control Conference, 5, pp. 3890-3895, (2004)
[9]  
Boyd S., El Ghaoui L., Feron E., Balakrishnan V., Linear Matrix Inequalities in Systems and Control Theory, Studies in Applied Mathematics, 15, (1994)
[10]  
Branicky M., Multiple lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Transactions on Automatic Control, 43, 4, pp. 475-482, (1998)
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