2009 Fiscal Year Final Research Report
Study on Control System Design Irrespective of Bounds of Uncertain Variations
| Project/Area Number |
20860040
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| Research Category |
Grant-in-Aid for Young Scientists (Start-up)
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| Allocation Type | Single-year Grants |
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| Research Field |
Control engineering
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| Research Institution | Shinshu University |
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Principal Investigator |
HASHIMOTO Tomoaki Shinshu University, 基礎工学研究科, 助教 (90515115)
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| Project Period (FY) |
2008 – 2009
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| Keywords | 制御理論 / ロバスト制御 / 不確定システム / 可制御性 / 可観測性 / 安定化 |
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| Research Abstract |
In this study, we examined the problem of designing a controller to stabilize a class of linear uncertain systems with state delays, independently of the bounds of uncertain variations. In particular, we investigated the output feedback stabilization problem of linear uncertain delay systems with limited measurable state variables. It is well known that controllability and observability play a crucial role in the stabilization of systems with limited measurable state variables. Hence, we first investigated the permissible locations of uncertain parameters in the system matrices for a linear uncertain system to be controllable and observable independently of the bounds of the uncertain parameters. Consequently, we derived necessary and sufficient conditions under which a linear uncertain system is controllable and observable irrespective of the bounds of uncertain parameters. Taking it into account, we next examined the stabilization problem of linear uncertain delay system by means of output feedback control. It was shown that if a linear uncertain delay system has a particular configuration with respect to uncertain entries, then the system can be stabilized however larger the given bounds of uncertain parameters might be. For a system satisfying the obtained stabilizability conditions, a systematic design method of the stabilizing controller was constructed.
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