Research Article

Networked Control System Design for Turbofan Aeroengines with Aging and Deterioration

Table 1

Nomenclature.

SymbolTypeMeaning

FunctionEuclidean vector norm
FunctionEllipsis for the symmetric terms
FunctionYielding a block diagonal matrix
FunctionDenoting
MatrixIdentity matrix of appropriate dimensions
, , , VectorInput, state, output, perturbation
, , , VectorSteady-state values of , , ,
, , VectorDeviation between , , and , ,
, , , ScalarThe th element in , , ,
VectorState of the integrator
VectorAugmented state
, , , MatrixIdentified system matrix
, MatrixAugmented identified system matrix
, , , MatrixIdentified system matrix under the th health condition
, MatrixAugmented identified system matrix
, , , MatrixNominal system matrix
, , , MatrixNorm-bounded uncertainty
MatrixFeedback gain matrix
, SetSet whose members contain a group of , , ,
, SetSet whose members contain a group of ,
MatrixInterval matrix
, MatrixConstant matrix
, , MatrixAugmented constant matrix
MatrixUncertain matrix satisfying
MatrixAugmented uncertain matrix satisfying
ScalarSampling period
ScalarDelay/dropout margin
ScalarMaximum allowable transmission delay
ScalarMaximum allowable number of consecutive packet dropouts
SetA disk region of which the center is and the radii is