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Observability and external descripti...

North Carolina State University.

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Observability and external description of linear time-varying singular control systems.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Observability and external description of linear time-varying singular control systems./
作者:	Terrell, William J.
面頁冊數:	152 p.
附註:	Director: Stephen L. Campbell.
Contained By:	Dissertation Abstracts International51-12B.
標題:	Engineering, Electronics and Electrical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9112198

Observability and external description of linear time-varying singular control systems.
Terrell, William J.

Observability and external description of linear time-varying singular control systems. - 152 p.

Director: Stephen L. Campbell.

Thesis (Ph.D.)--North Carolina State University, 1990.

We define total and smooth observability for linear time varying singular control systems, (t)u$ Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Observability and external description of linear time-varying singular control systems.
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035 $a (UnM)AAI9112198
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040 $a UnM $c UnM
100 1 $a Terrell, William J. $3 1258317
245 1 0 $a Observability and external description of linear time-varying singular control systems.
300 $a 152 p.
500 $a Director: Stephen L. Campbell.
500 $a Source: Dissertation Abstracts International, Volume: 51-12, Section: B, page: 5913.
502 $a Thesis (Ph.D.)--North Carolina State University, 1990.
520 $a We define total and smooth observability for linear time varying singular control systems, $e (t)x\sp\prime$ + $f (t)x$ = $b (t)u$ $y $ = $c (t)x$. The dynamics $e x\sp\prime$ + $f x$ = $b u$ are a solvable singular differential equation. We characterize these observability properties by rank and column independence conditions on derivative arrays generated from the original system coefficients. Our approach has computational advantages even in the classical nonsingular case. Smooth observability is stronger than total observability, but weaker than uniform observability when $e $ is nonsingular. For singular systems with analytic coefficients, total observability is equivalent to smooth observability. We use observability results to define an external description which characterizes the input-output behavior of a system. For nonobservable singular systems of any index, we develop an observable-unobservable decomposition from the output-nulling space of the unforced system. Two components describe the space of observable states complementary to the unobservable output-nulling space. Both output and input information determine one component, and the complete determination of the other components by the input is a consequence of singular system structure. We define the three system components by projection operators associated with a natural completion of the system's singular differential equation. Ordinary differential equations (ODE's) describe the dynamics of the three state components in $r \sp{n}$ for a given input and appropriate initial conditions. The system's derivative array information permits pointwise computation of the output-nulling space, natural completion, and associated projectors for a large class of systems. Thus, we generate a transformation to a local canonical form with respect to observability.
520 $a Finally, we identify an "index one" restriction implied by the constant rank assumptions of recent nonsingular state realization theory based on geometric control concepts. This enables us to illustrate how solvable singular systems theory may provide a more computationally feasible path to state realization for higher index problems.
590 $a School code: 0155.
650 4 $a Engineering, Electronics and Electrical. $3 626636
650 4 $a Engineering, System Science. $3 1018128
650 4 $a Mathematics. $3 515831
690 $a 0405
690 $a 0544
690 $a 0790
710 2 0 $a North Carolina State University. $3 1018772
773 0 $t Dissertation Abstracts International $g 51-12B.
790 $a 0155
790 1 0 $a Campbell, Stephen L., $e advisor
791 $a Ph.D.
792 $a 1990
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9112198