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
Keywords	Stability of space vehicles
Date of Defense	1989-07-05
Availability	restricted
Abstract 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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