caa a22 4500 606199373 CHVBK 20210128100938.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s11045-013-0276-x doi (NATIONALLICENCE)springer-10.1007/s11045-013-0276-x Model approximation for two-dimensional Markovian jump systems with state-delays and imperfect mode information [Elektronische Daten] [Yanling Wei, Jianbin Qiu, Hamid Karimi, Mao Wang] This paper is concerned with the problem of $$\mathscr {H}_{\infty }$$ H ∞ model approximation for a class of two-dimensional (2-D) discrete-time Markovian jump linear systems with state-delays and imperfect mode information. The 2-D system is described by the well-known Fornasini-Marchesini local state-space model, and the imperfect mode information in the Markov chain simultaneously involves the exactly known, partially unknown and uncertain transition probabilities. By using the characteristics of the transition probability matrices, together with the convexification of uncertain domains, a new $$\mathscr {H}_{\infty }$$ H ∞ performance analysis criterion for the underlying system is firstly derived, and then two approaches, namely, the convex linearisation approach and iterative approach, to the $$\mathscr {H}_{\infty }$$ H ∞ model approximation synthesis are developed. The solutions to the problem are formulated in terms of strict linear matrix inequalities (LMIs) or a sequential minimization problem subject to LMI constraints. Finally, simulation studies are provided to illustrate the effectiveness of the proposed design methods. Springer Science+Business Media New York, 2014 Two-dimensional systems nationallicence Markovian jump systems nationallicence Model approximation nationallicence Imperfect mode information nationallicence State-delays nationallicence Wei Yanling Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, 150001, Harbin, P. R. China aut Qiu Jianbin Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, 150001, Harbin, P. R. China aut Karimi Hamid Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898, Grimstad, Norway aut Wang Mao Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, 150001, Harbin, P. R. China aut Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/3(2015-07-01), 575-597 0923-6082 26:3<575 2015 26 11045 https://doi.org/10.1007/s11045-013-0276-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11045-013-0276-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wei Yanling Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, 150001, Harbin, P. R. China aut NATIONALLICENCE 700 1- Qiu Jianbin Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, 150001, Harbin, P. R. China aut NATIONALLICENCE 700 1- Karimi Hamid Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898, Grimstad, Norway aut NATIONALLICENCE 700 1- Wang Mao Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, 150001, Harbin, P. R. China aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Springer US; http://www.springer-ny.com 26/3(2015-07-01), 575-597 0923-6082 26:3<575 2015 26 11045