Research on Destabilization of Nonlinear Systems by Assigning Instantaneous Lyapunov Exponent
| Project/Area Number |
25420445
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Control engineering/System engineering
|
|---|
| Research Institution | Oita University |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
SUEMITSU HARUO 大分大学, 工学部, 助教 (50162839)
|
|---|
| Project Period (FY) |
2013-04-01 – 2016-03-31
|
| Project Status |
Completed (Fiscal Year 2015)
|
| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
|
|---|
| Keywords | 非線形制御理論 / リアプノフ関数 / リアプノフ指数 / 適応オブザーバ / フォワーディング手法 / ホモクリニック軌道 / 倒立振子 / Forwarding法 / 安定性 / Lyapunov指数 |
|---|
| Outline of Final Research Achievements |
In this study, we deal with the control method for rotational movements of a pendulum using a separatrix. We design a controller that attains a homoclinic motion or a heteroclinic motion of the pendulum and the asymptotic stability of the cart by using a kind of forwarding control design. First, we derive a controller that converges to a homoclinic orbit via a Lyapunov function of the pendulum subsystem. Next, we give a nonlinear stabilizing controller via another Lyapunov function of the cart subsystem. Moreover, using the third Lyapunov function and adding a complementary control input, we guarantee that the pendulum converges to the homoclinic orbit and the cart is stabilized. The simulation and the experiment using the rapid controller prototyping system are performed to demonstrate the forward upward circling and the giant swing of the pendulum. Moreover, we propose an estimation method for the Malthus parameter to calculate the instantaneous Lyapunov exponent.
|
Report
(4 results)
Research Products
(22 results)
