Analytical Solutions to Approximations of the Hamilton-Jacobi Equation Applied to Satellite Formation Flying
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Bibliographic record
Abstract
The Hamilton-Jacobi equations associated with the standard nonlinear H1 control and the nonlinear H1 loop shaping control problems are approximated using a Taylor series expansion. A new analytical solution is presented for the third-order approximation term. The proposed controller synthesis methods are applied to the problem of satellite formation ying and the eects of using dierent orders of approximation in the plant and controller dynamics are studied in simulation. It is found that, while the nonlinear controller demonstrates little improvement over the linear one, using even just a constant direct feedthrough loop shaping function can aect the time response of the closed-loop system signicantly.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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