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A Powerful Kinematic Model For Proportional Navigation Of Guided Weapons Against Maneuvering Targets
| Content Provider | Indian Institute of Science (IISc) |
|---|---|
| Author | Shukla, Uday S. Mahapatra, Pravas R. |
| Copyright Year | 1989 |
| Abstract | An accurate solution is presented of the nonlinear differential equations describing the pursuer motion under the PN law in the general case when the target is laterally maneuvering. A quasilinearization (QL) approach is used, followed by a perturbation technique to obtain analytical solutions for the trajectory parameters. Explicit expression for the pursuer lateral acceleration is derived and is shown to contain contributions due to initial heading error and target maneuver, with a coupling between the two effects. The solution is shown to be a substantial and consistent generalization of the classical linear solution for maneuvering targets. The generalized QL solution presented here provides very accurate estimates of pursuer lateral acceleration over a much broader range of engagement geometries and target maneuvers than presently available analytical solutions. The analytical solution is of special value for (i) generating accurate insight into PN behavior for maneuvering targets (ii) aiding rapid design calculation involving tradeoff studies (iii) modelling larger systems in which the PN law appears as a building block, and (iv) performing real-time computations of launch envelope, even on modest airborne computers on launching aircraft, to ensure successful intercept. |
| File Format | |
| Journal | PeerReviewed |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers |
| Publisher Date | 1989-01-01 |
| Access Restriction | Authorized |
| Subject Keyword | Aerospace Engineering (Formerly, Aeronautical Engineering) |
| Content Type | Text |
| Resource Type | Article |