| Guaranteed Cost Control for Discrete-time Singular Large-scale Systems with Parameter Uncertainty |
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| 作者姓名： | WO Song-Lin~ |
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| 作者单位： | WO Song-Lin~(1，2) SHI Guo-Dong~2 ZOU Yun~1 ~1(Department of Automation，Nanjing University of Science and Technology，Nanjing 210094)~2(Department of Basic Courses，Changzhou College of Information Technology，Changzhou 213164) |
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| 基金项目： | Supported by National Natural Science Foundation of P.R.China (60474078) |
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| 摘 要： | The problem of optimal guaranteed cost control for discrete-time singular large-scale systems with a quadratic cost function is considered in this paper.The system under discussion is subject to norm bounded time-invariant parameter uncertainty in all the matrices of model.The problem we address is to design a state feedback controller such that the closed-loop system not only is robustly stable but also guarantees an adequate level of performance for all admissible uncer- tainties.A sufficient condition for the existence of guaranteed cost controllers is presented in terms of linear matrix inequalities(LMIs),and a desired state feedback controller is obtained via con- vex optimization.An illustrative example is given to demonstrate the effectiveness of the proposed approach.
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Guaranteed Cost Control for Discrete-time Singular Large-scale Systems with Parameter Uncertainty |
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| WO Song-Lin.Guaranteed Cost Control for Discrete-time Singular Large-scale Systems with Parameter Uncertainty[J].Acta Automatica Sinica,2005(5). |
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| Authors: | WO Song-Lin |
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| Affiliation: | WO Song-Lin~ |
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| Abstract: | The problem of optimal guaranteed cost control for discrete-time singular large-scale systems with a quadratic cost function is considered in this paper.The system under discussion is subject to norm bounded time-invariant parameter uncertainty in all the matrices of model.The problem we address is to design a state feedback controller such that the closed-loop system not only is robustly stable but also guarantees an adequate level of performance for all admissible uncer- tainties.A sufficient condition for the existence of guaranteed cost controllers is presented in terms of linear matrix inequalities(LMIs),and a desired state feedback controller is obtained via con- vex optimization.An illustrative example is given to demonstrate the effectiveness of the proposed approach. |
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| Keywords: | Discrete-time singular large-scale system linear matrix inequality(LMI) parameter uncertainty guaranteed cost control |
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