Control System Design of Nonlinear Systems via Numeric and Symbolic Computation
Project/Area Number |
20760280
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Control engineering
|
Research Institution | Kyushu Institute of Technology |
Principal Investigator |
ICHIHARA Hiroyuki Kyushu Institute of Technology, 理工学部, 講師 (70312072)
|
Project Period (FY) |
2008 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
|
Keywords | 制御系設計 / 数値計算 / 数式処理 / 二乗和 / 限量記号消去法 / 限量記号消去 / 多項式システム / 制御系解析 / 計算機代数 / 非線形システム / 線形行列不等式 |
Research Abstract |
The research has investigated a methodology of control system design of nonlinear systems, in particular nonlinear polynomial systems via numeric and symbolic computation. The methods of state feedback controller design, observer design and input-to-state system analysis have proposed for nonlinear polynomial systems using sum of squares relaxation and solving semidefinite programming problems. An optimization of nonlinear gain functions has also proposed by a combined use of sum of squares and quantifier elimination. The research also has investigated a design method on gain scheduling controller for the Acrobot, in which effectiveness of several reduction approaches of computation are verified.
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Report
(4 results)
Research Products
(35 results)