Approximate Input Reconstruction for Diagnosing Aircraft Control Surfaces

Fu, Haoyun; Kirtikar, Siddharth; Zattoni, Elena; Palanthandalam-Madapusi, Harish J.; Bernstein, Dennis S.

doi:10.2514/6.2009-5758

Cited by 2 publications

(2 citation statements)

References 17 publications

(24 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The following definition provides the foundation for input and initial-state reconstruction. For the following definition, recall the definition of Ψ r 1 ,r 2 given by (6).…”

Section: L-delay Input and Initial-state Reconstructionmentioning

confidence: 99%

“…In particular, when unknown inputs represent disturbances or the effects of system uncertainties, estimates can be used to improve the control system performance. In addition, when unknown inputs represent the effect of actuator failures, estimates can be used to implement fault-tolerant control, and thereby enhance system reliability [6] The reconstruction of unknown inputs under the assumption that the initial state of the system is either known or zero is addressed by left inversion, a long-studied problem in the systems literature [14,17,18,22,23]. In particular, necessary and sufficient conditions were obtained in [17,18,22,23] for the existence of a linear time-invariant dynamical system that, when cascaded with the original system, produces as its output the input to the original system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

l-Delay Input and Initial-State Reconstruction for Discrete-Time Linear Systems

Kirtikar

Palanthandalam-Madapusi

Zattoni

et al. 2010

Circuits Syst Signal Process

Self Cite

View full text Add to dashboard Cite

Prior results on input reconstruction for multi-input, multi-output discretetime linear systems are extended by defining l-delay input and initial-state observability. This property provides the foundation for reconstructing both unknown inputs and unknown initial conditions, and thus is a stronger notion than l-delay left invertibility, which allows input reconstruction only when the initial state is known. These properties are linked by the main result (Theorem 4), which states that a MIMO discrete-time linear system with at least as many outputs as inputs is l-delay input and initial-state observable if and only if it is l-delay left invertible and has no invariant zeros. In addition, we prove that the minimal delay for input and state reconstruction is identical to the minimal delay for left invertibility. When transmission zeros are present, we numerically demonstrate l-delay input and state reconstruction to show how the input-reconstruction error depends on the locations of the zeros. Specifically, minimum-phase zeros give rise to decaying input reconstruction error, nonminimumphase zeros give rise to growing reconstruction error, and zeros on the unit circle give rise to persistent reconstruction error.

show abstract

“…The following definition provides the foundation for input and initial-state reconstruction. For the following definition, recall the definition of Ψ r 1 ,r 2 given by (6).…”

Section: L-delay Input and Initial-state Reconstructionmentioning

confidence: 99%