Loading...
Please wait, while we are loading the content...
Similar Documents
Boundedness regions of discrete-time dynamic systems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Thaler, G. J. Siljak, D. Weissenberger, S. |
| Copyright Year | 1972 |
| Description | Techniques for obtaining quantitative information about boundedness properties are developed and applied to the sampled-data control of satellite attitude with quantization. Relevant stability concepts are introduced as a series of definitions, and interrelationships between various definitions are discussed. The boundedness regions are estimated by means of quadratic Liapunov functions, and a sufficient condition for the existence of a boundedness region is given for a certain class of systems. A quadratic Liapunov function is applied to the Lur'e-Postinkov class of systems, where the linear part of the system is not asymptotically stable and the quantizer represents the nonlinear characteristic. A numerical calculation of the region of boundedness estimates is performed for satellite attitude control and is compared with simulation results. It is tentatively concluded that the Liapunov results may be good and that simulation results may be difficult to interpret and time-consuming to generate. The Lur'e-based technique yields estimates of regions of absolute boundedness, but at the cost of greater analytical complexity. |
| File Size | 2791963 |
| Page Count | 80 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19720013167 |
| Archival Resource Key | ark:/13960/t44r2nr63 |
| Language | English |
| Publisher Date | 1972-03-01 |
| Access Restriction | Open |
| Subject Keyword | Space Vehicles Dynamic Response Liapunov Functions Mathematical Models Stability Estimates Satellite Attitude Control Ntrs Nasa Technical Reports ServerĀ (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |