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Linear approximations of nonlinear systems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Su, R. Hunt, L. R. |
| Copyright Year | 1983 |
| Description | The development of a method for designing an automatic flight controller for short and vertical take off aircraft is discussed. This technique involves transformations of nonlinear systems to controllable linear systems and takes into account the nonlinearities of the aircraft. In general, the transformations cannot always be given in closed form. Using partial differential equations, an approximate linear system called the modified tangent model was introduced. A linear transformation of this tangent model to Brunovsky canonical form can be constructed, and from this the linear part (about a state space point x sub 0) of an exact transformation for the nonlinear system can be found. It is shown that a canonical expansion in Lie brackets about the point x sub 0 yields the same modified tangent model. |
| File Size | 725595 |
| Page Count | 16 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19830013574 |
| Archival Resource Key | ark:/13960/t2b903d1n |
| Language | English |
| Publisher Date | 1983-01-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Approximation Partial Differential Equations Uh-1 Helicopter Canonical Forms Automatic Flight Control Control Theory Nonlinear Systems Linearization Transformations Mathematics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
