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On continuity of robustness margins for stability.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	On continuity of robustness margins for stability./
作者:	Shi, Zhicheng.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 1993,
面頁冊數:	160 p.
附註:	Source: Dissertations Abstracts International, Volume: 55-08, Section: B.
Contained By:	Dissertations Abstracts International55-08B.
標題:	Systems design. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9404749
ISBN:	9798208109373

On continuity of robustness margins for stability.
Shi, Zhicheng.

On continuity of robustness margins for stability. - Ann Arbor : ProQuest Dissertations & Theses, 1993 - 160 p.

Source: Dissertations Abstracts International, Volume: 55-08, Section: B.

Thesis (Ph.D.)--The University of Wisconsin - Madison, 1993.

This item must not be added to any third party search indexes.

The motivation for this thesis is derived from a basic concern about ill conditioning associated with computations aimed at testing the robust stability of an automatic control system. First, we show that for systems with structured real uncertain parameters entering affine linearly into plant coefficients, the robustness margin for stability can be a discontinuous function of the problem data vector--this fact is the launching point for this work. Subsequently, we provide examples which indicate that the discontinuity of this margin under one norm might not imply the discontinuity under another norm. In view of the discontinuity phenomenon, one objective is to provide conditions under which the robustness margin is continuous. In particular, if real uncertain parameters enter affine linearly into plant coefficients, a certain "rank test" plays an important role. For systems with structured complex uncertainty, however, it turns out that only mild assumptions are required to guarantee that the robustness margin is continuous. In other words, the complex uncertainty case is fundamentally different from the real uncertainty case. In addition to describing results attained to date, this thesis also describes various continuity problems which are worthy of further investigation.

ISBN: 9798208109373Subjects--Topical Terms:

3433840
Systems design.

On continuity of robustness margins for stability.
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506 $a This item must not be added to any third party search indexes.
506 $a This item must not be sold to any third party vendors.
520 $a The motivation for this thesis is derived from a basic concern about ill conditioning associated with computations aimed at testing the robust stability of an automatic control system. First, we show that for systems with structured real uncertain parameters entering affine linearly into plant coefficients, the robustness margin for stability can be a discontinuous function of the problem data vector--this fact is the launching point for this work. Subsequently, we provide examples which indicate that the discontinuity of this margin under one norm might not imply the discontinuity under another norm. In view of the discontinuity phenomenon, one objective is to provide conditions under which the robustness margin is continuous. In particular, if real uncertain parameters enter affine linearly into plant coefficients, a certain "rank test" plays an important role. For systems with structured complex uncertainty, however, it turns out that only mild assumptions are required to guarantee that the robustness margin is continuous. In other words, the complex uncertainty case is fundamentally different from the real uncertainty case. In addition to describing results attained to date, this thesis also describes various continuity problems which are worthy of further investigation.
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