DESIGN OF DYNAMIC COMPENSATORS FOR GENERALZED COMPOSITE SYSTEMS WITH SIMILARITY * Haibin Shi 1 , G.M. Dimirovski 2,4 , Siying Zhang 3 , M.J. Stankovski 4 1 Institute of Automation, Southeastern University Nanjing, Jiangsu, 210096, P. R. China e-mail: haibinshi@sina.com 2 Faculty of Engineering, Dogus University Acibadem, Zeamet Sk. 21, Kadikoy, 81010 Istanbul, Turkey Fax: +90-216-327-9631 e-mail: gdimirovski@dogus.edu.tr 3 Institute of Control Science, School of Information Science & Engineering, Northeastern University, Shenyang, Liaoning, 110006, P. R. China 4 Institute of ASE, Faculty of Electr. Engg., SS. Cyril and Methodius University P.O.Box 574, MK-91000, Skopje, Republic of Macedonia * This paper was supported in part by National Natural Science Foundation (79970114,69934010, 69974007) of P.R. of China. Keywords: Composite systems; generalized interconnected systems; impulse observable; normal dynamic compensator; R-controllable. Abstract A class of generalized interconnected composite systems, which possess a similar linear sub- structure and a non-linear term, is studied in this paper. Each subsystem contains nonlinear term, and also the interconnections are non-linear and unmatched ones allowing for some uncertainty. A new theoretical result, also generating a novel design method, has been proved. Normal dynamic compensators are designed so that the closed-loop systems with this class of original systems and the compensators are asymptotically stable and have no impulse effect. Since the compensators also possess similar structures, they are considerably easy to implement, and also a destroyed compensator can be easily reproduced. 1 Introduction Non-linear generalized composite systems consist of many non-linear subsystems that are tied up together with non-linear interconnections. This is a special case of complex large-scale systems [1], [2]. They are important in various applications of large-scale systems [1], and can be found in the fields of aerospace technology, chemical and power industry, management administration, structural engineering, etc. [3]-[5]. Insofar a number of results have been obtained for the common interconnected systems, most often the linear ones, and many designing methods have been constructed. However, to the best of our knowledge, there are very few results for the non- linear generalized composite systems [1], [9], [10]. It is to this class of systems precisely to which we extend the existing knowledge in here. On the other hand, similarity structure is a characterization of many complex systems that come into being naturally, and widely are used in Proceedings of the 10th Mediterranean Conference on Control and Automation - MED2002 Lisbon, Portugal, July 9-12, 2002.