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| Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty | |
| 作者单位： | Wo Songlin（Division of Public Teaching, Changzhou Coll. of Information Technology, Changzhou 213164, P. R. China） ;Shi Guodong（Division of Public Teaching, Changzhou Coll. of Information Technology, Changzhou 213164, P. R. China;Dept. of Automation, Nanjing Univ. of Science and Technology, Nanjing 210094, P. R. China） ;Zou Yun（Dept. of Automation, Nanjing Univ. of Science and Technology, Nanjing 210094, P. R. China） ; |
| 基金项目： | 国家自然科学基金;江苏省高教科学基金 |
| 摘 要： | The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadratic cost performance function. The problem that is addressed in this study is to design a decentralized robust guaranteed cost state feedback controller such that the closed-loop system is not only regular, impulse-free and stable, but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust guaranteed cost state feedback controllers is proposed in terms of a linear matrix inequality (LMI) via LMI approach. When this condition is feasible, the desired state feedback decentralized robust guaranteed cost controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach. |
| 收稿时间： | 20 May 2005. |
Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty |
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| Wo Songlin,Shi Guodong,Zou Yun. Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty[J]. Journal of Systems Engineering and Electronics, 2007, 18(1): 111-119. DOI: 10.1016/S1004-4132(07)60060-7 | |
| Authors: | Wo Songlin Shi Guodong Zou Yun |
| Affiliation: | 1. Division of Public Teaching, Changzhou Coll. of Information Technology, Changzhou 213164, P. R. China 2. Division of Public Teaching, Changzhou Coll. of Information Technology, Changzhou 213164, P. R. China;Dept. of Automation, Nanjing Univ. of Science and Technology, Nanjing 210094, P. R. China 3. Dept. of Automation, Nanjing Univ. of Science and Technology, Nanjing 210094, P. R. China |
| Abstract: | The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadratic cost performance function. The problem that is addressed in this study is to design a decentralized robust guaranteed cost state feedback controller such that the closed-loop system is not only regular, impulse-free and stable, but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust guaranteed cost state feedback controllers is proposed in terms of a linear matrix inequality (LMI) via LMI approach. When this condition is feasible, the desired state feedback decentralized robust guaranteed cost controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach. |
| Keywords: | Uncertain singular large-scale systems Time-delay system Guaranteed cost control LMI |
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