Matrix form of the inverse Young inequalities

Manjegani, Seyed Mahmoud; Norouzi, A.

doi:10.1016/j.laa.2015.08.022

Cited by 4 publications

(4 citation statements)

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“…e observer of [25] only estimates the sensor fault, not the actuator fault and disturbance; the observer of [30] can only estimate unmeasured states, the essence of its method is passive compensation. e ESO in this study has been greatly improved, which can simultaneously estimate disturbance, states, sensor fault, and actuator fault, and has more functions.…”

Section: Attitude Angle Sensormentioning

confidence: 99%

Improved Adaptive Fault-Tolerant Control of a Variable Structure Fighter with Multiple Faults Based on an Extended Observer

Sun

Yang

2022

Mathematical Problems in Engineering

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In this paper, an improved adaptive fault-tolerant control (FTC) scheme is presented based on an extended state observer (ESO) for a highly maneuverable variable structure fighter (VSF) with simultaneous faults of the rudder surface and sensor. The feedback linearization model of the attitude system with faults and external disturbances is introduced. In order to realize the real-time observation of the rudder and sensor faults, a neural network estimator is used to approximate sensor faults, and the ESO is designed to estimate the rudder surface fault and attitude variables. On this basis, the estimated value is used to replace the measured value for state variables to design the adaptive fault-tolerant controller for the inner and outer loop, combined with the second-order command filter to offset the phenomenon of backstepping differential amplification system noise. Finally, the proposed FTC scheme realizes the variable structure self-repairing of multiple positions, multiple types of faults in VSF using fault estimation. The Lyapunov theory and Barbalat’s lemma prove the stability of the designed observer and controller. The effectiveness of the FTC scheme is verified by a simulation experiment.

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Section: Attitude Angle Sensormentioning

confidence: 99%

Improved Adaptive Fault-Tolerant Control of a Variable Structure Fighter with Multiple Faults Based on an Extended Observer

Sun

Yang

2022

Mathematical Problems in Engineering

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“…A matrix version of this inverse inequality was attempted by Manjegani and Norouzi [6], but their paper is flawed. Their main result ([6, Theorem 2.4]) is that (2.1) below holds for A and B positive definite n × n matrices and all ν > 1.…”

mentioning

confidence: 99%

“…Their main result ([6, Theorem 2.4]) is that (2.1) below holds for A and B positive definite n × n matrices and all ν > 1. In fact, this is false for ν = 2 (see the addendum), and the 'proof' given in [6] is invalid in the entire range 1 < ν < ∞. Already, equation (10) in Manjegani and Norouzi [6] is incorrect.…”

mentioning

confidence: 99%