TECHNICAL SCIENCES/12. The automated
systems
managements on production.
Ilyushin Y. V.
National mineral
resources university
St. Petersburg,
Russia
Kravcova A.L.
North Caucasian
Federal university,
Pyatigorsk, Russia
Creation of model of trayektorny sensitivity of continuous object of
management.
Modern
technological processes on the organization and processing of material, power
and information streams demand much of reliability and indicators of quality of
the control systems which are built in technical Wednesday of these
technological processes. Lack of guarantees of stability of indicators of
quality of functioning of control systems as a part of served technological
processes can lead to deterioration of consumer properties of target production
of process, and also its productivity that is unjustified technical, economic,
ecological, and, probably, and humanitarian luxury. The problem of ensuring
stability of indicators of quality of operated processes in the conditions of
uncertainty of the various nature of the technical environment of their course,
like a problem of ensuring their stability, becomes one of "eternal"
in the theory and practice of management. This problem has some all-system
production versions formulated as a problem of ensuring of small parametrical
sensitivity to parametrical uncertainty, as a problem of achievement of
roughness or a robastnost on set of uncertain factors, and also ensuring the
guaranteed quality of operated processes at uncertainty of parameters of
functional components of the control system which is set in the interval or
indistinct image [1].
Let's
solve a problem of creation of model of troyektorny sensitivity of continuous
object of management. Transfer function (PF) «an entrance exit (VV)» for
continuous object of management (NOU) is given [2,3]:
,
where 
– nominal rates of parameters
, 
value of parameters
(PF):
.
Transfer function
NOU entrance exit:
Let's pass to an
initial observable form:
- NOU representation:
, 
, 
.
Matrixes of nominal
OU:
, 
, 
.
Creation of family
of models of trayektorny sensitivity [1,2]:
, 
,
, 
.
and formation of
family of the aggregated systems:
Where 
, 
, 
, 
.
Let's receive:
,
, 
, 
;
,
,
,
;
,
,
,
;
, 
, 
, 
;
Let's calculate
controllability matrixes on function of trayektorny sensitivity and their norm:
,
,
,
.
Owing to an
inequality: 
proranzhiruy
parameters on potential sensitivity:
.
The parameter makes
the smallest impact
.
Conclusion
During
rated work construction of model of trayektorny sensitivity (MTCh) of
continuous plant of control (OU) 
in demand base were
fulfil
. Ranking of
parametres
on potential sensitivity to
them an exit of OU with use of a matrix of controllability of the aggregat
system are ma
.
The list of used literature
1. Nkiforov V. O.,
It is merged by the Lake of Century, Ushakov A.V. Intellectual management in
the conditions of uncertainty: manual. SPb: ITMO St.Petersburg State
University, 2011. – 231 c.
2. Rapoport E.Ya.
Structural modeling of objects and control systems with the distributed
parameters. M: The higher school, 2003.
3. Pershin I.M. The
analysis and synthesis of systems with the distributed parameters. Pyatigorsk: RIA-KMV, 2007.