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Stabilization and H{infty} control of two-dimensional Markovian jump systems |
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| Authors: | Gao Huijun; Lam James; Xu Shengyuan; Wang Changhong |
| Institution: | 1 Inertial Navigation Center, Harbin Institute of Technology, Room 317, PO Box 1230, Xidazhi Street 92, Harbin, 150001, People's Republic of China, 2 Department of Mechanical Engineering, The University of Hong Kong, Hong Kong, 3 Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China, 4 Inertial Navigation Center, Harbin Institute of Technology, Room 317, PO Box 1230, Xidazhi Street 92, Harbin, 150001, People's Republic of China |
| Abstract: | This paper extends the results obtained for one-dimensionalMarkovian jump systems, to investigate the problems of stochasticstabilization and H control of two-dimensional (2D) systemswith Markovian jump parameters. The mathematical model of 2Djump systems is established upon the well-known Roesser model,and sufficient conditions are obtained for the existence ofdesired controllers in terms of linear matrix inequalities,which can be readily solved by available numerical software.These obtained results are further extended to more generalcases whose system matrices also contain parameter uncertaintiesrepresented by either polytopic or norm-bounded approaches.A numerical example is provided to show the applicability ofthe proposed theories. |
| Keywords: | 2D system H |
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