Title page for ETD etd-11212012-040321
|Type of Document
||Grigoriadis, Karolos M.
||On the robust stabilization of a linear time-varying uncertain system
||Master of Science
|Cliff, Eugene M.
|Lutze, Frederick H. Jr.
|Stalford, Harold L.
- Stability of space vehicles
|Date of Defense
In recent years the problem of designing a feedback control
law to stabilize a linear, time-varying uncertain system has
received considerable attention. However, the problem is usually
limited to the case of systems which satisfy the "matching"
assumptions. Moreover, the question of the existence of a linear
stabilizing control, if a nonlinear stabilizing control exists, is
still unanswered. In the present work an attempt is made to design
a stabilizing, linear, feedback control law for a specific second order,
linear system which contains time-varying uncertainties into
both the state and input matrices and does not satisfy the matching
conditions. For specific values of the uncertainty bounds this
system is quadratically stabilizable but not quadratically
stabilizable via linear control.
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