Title page for ETD etd-11212012-040321

Type of Document Master's Thesis
Author Grigoriadis, Karolos M.
URN etd-11212012-040321
Title On the robust stabilization of a linear time-varying uncertain system
Degree Master of Science
Department Aerospace Engineering
Advisory Committee
Advisor Name Title
Cliff, Eugene M. Committee Chair
Lutze, Frederick H. Jr. Committee Member
Stalford, Harold L. Committee Member
  • Stability of space vehicles
Date of Defense 1989-07-05
Availability restricted

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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