Decentralized guaranteed cost stabilization of time-delay large-scale systems based on reduced-order observers |
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| Authors: | Xiaoshi Xiao Zhizhong Mao |
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| Institution: | 1. College of Engineering, Bohai University, Jinzhou 121013, China;2. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;3. Department of Mechanical Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong;4. College of Mathematics and Physics, Bohai University, Jinzhou 121013, China;1. Faculty of Civil and Environmental Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel;2. University of Alabama in Huntsville, 301 Sparkman Drive, Huntsville, Alabama 35899, USA;1. Vitoria Engineering School, University of the Basque Country, Nieves Cano 12, 01006 Vitoria, Spain;2. Eibar Engineering School, University of the Basque Country, Otaola, 29, 20600 Eibar, Spain |
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| Abstract: | This paper addresses the problem of decentralized guaranteed cost stabilization (DGCS) of large-scale systems with delays both in the isolated subsystems and interconnections based on reduced-order observers. Sufficient conditions for the existence of delay-independent decentralized guaranteed cost controller (DGCC) are given in terms of linear matrix inequalities (LMIs). Furthermore, a convex optimization problem with LMIs constraints is formulated to design the optimal DGCC which minimizes the guaranteed cost of the closed-loop large-scale systems. Finally, a simulation is performed to show the effectiveness of the proposed control scheme. |
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