Extended dissipative control for interval type-2 singular systems with nonhomogeneous Markovian switching |
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| Affiliation: | 1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, Shandong 266520, China;2. School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, China;3. School of Automation, Nanjing University of Information Science and Technology, Nanjing, Jiangsu 210044, China;1. AnHui Province Key Laboratory of Special Heavy Load Robot, Anhui University of Technology, Ma’anshan 243002, PR China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, PR China;3. School of Information Science and Engineering, Chengdu University, Chengdu 610106, PR China;1. School of Mathematics Science, Liaocheng University, Liaocheng 252000, PR China;2. School of Electrical and Information Engineering, Anhui University of Technology, Maanshan 243002, PR China;3. College of Computer Science and Technology, Qingdao University, Qingdao 266071, PR China;1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210023, China;3. School of Electronics and Information, Nanjing Vocational College of Information Technology, Nanjing 210046, China |
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| Abstract: | This paper investigates the problems of stochastic admissibility and extended dissipativity analysis as well as state feedback controller design for interval type-2 singular systems with nonhomogeneous Markovian switching. By utilizing matrix decomposition technique to deal with the time-dependent transition rates, a sufficient condition is established to guarantee that the systems under consideration are regular, impulse-free, stochastically asymptotically stable and extended dissipative. For developing the state feedback controller in light of the obtained sufficient condition, a novel lemma is proposed inspired by Projection lemma, based on which an approach of controller design is provided. It should be pointed out that no conservatism is introduced in controller design due to the sufficiency and necessity of this lemma. Finally, simulation examples are provided to show the effectiveness of the proposed approach. |
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