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Nonlinear zero-sum differential game analysis by singular perturbation methods
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Sinar, J. Farber, N. |
| Copyright Year | 1982 |
| Description | A class of nonlinear, zero-sum differential games, exhibiting time-scale separation properties, can be analyzed by singular-perturbation techniques. The merits of such an analysis, leading to an approximate game solution, as well as the 'well-posedness' of the formulation, are discussed. This approach is shown to be attractive for investigating pursuit-evasion problems; the original multidimensional differential game is decomposed to a 'simple pursuit' (free-stream) game and two independent (boundary-layer) optimal-control problems. Using multiple time-scale boundary-layer models results in a pair of uniformly valid zero-order composite feedback strategies. The dependence of suboptimal strategies on relative geometry and own-state measurements is demonstrated by a three dimensional, constant-speed example. For game analysis with realistic vehicle dynamics, the technique of forced singular perturbations and a variable modeling approach is proposed. Accuracy of the analysis is evaluated by comparison with the numerical solution of a time-optimal, variable-speed 'game of two cars' in the horizontal plane. |
| File Size | 933762 |
| Page Count | 34 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19820021438 |
| Archival Resource Key | ark:/13960/t8z942g69 |
| Language | English |
| Publisher Date | 1982-07-01 |
| Access Restriction | Open |
| Subject Keyword | Aircraft Design, Testing And Performance Feedback Optimal Control Saddle Points Nonlinearity Strategy Mathematical Models Perturbation Free Flow Boundary Layer Control Game Theory 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 |
