2019
DOI: 10.1080/00207179.2019.1590644
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Prescribed performance fixed-time tracking control for a class of second-order nonlinear systems with disturbances and actuator saturation

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Cited by 37 publications
(32 citation statements)
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“…Remark 5: When e i1 and e i2 converge to zero after finite time t i , (25) becomes ė i1 = e i2 = 0 e i2 =ḋ i (49) With the first formula of (49) and (23), we can make a conclusion that the observation errors of d i will also converge to zero. As for the second formula of (49), the following inequality holds…”
Section: B Stability Analyzation For Sstdobmentioning
confidence: 99%
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“…Remark 5: When e i1 and e i2 converge to zero after finite time t i , (25) becomes ė i1 = e i2 = 0 e i2 =ḋ i (49) With the first formula of (49) and (23), we can make a conclusion that the observation errors of d i will also converge to zero. As for the second formula of (49), the following inequality holds…”
Section: B Stability Analyzation For Sstdobmentioning
confidence: 99%
“…The block diagram of this composite controller is shown in Figure 2. Before the controller designing, some lemmas and assumptions are given as follows Lemma 1 [37], [47], [49]: Consider a scalar system is expressed as folloẇ where a > 0, b > 0, α > 1, 0 < β < 1. System (51) has globally fixed-time stability with convergence time T bounded by…”
Section: Sstdob Based Fsmbc For Ahv Systemmentioning
confidence: 99%
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“…Remark 6. By introducing switching function ( 31) [45], the potential singularity that appeared in the derivative of term sig(s 2 ) β will get avoided. For the case |s…”
Section: Finite Time Integral Siding Mode Controlmentioning
confidence: 99%
“…This can also be accomplished by the existing ETC polices [21]- [29], with yet the broadcast of the sampled control signal. In our protocol, only the 1-bit command signal in (17) [38]. Nonetheless, it is also seen from (10)- (12) that the serial communication between the sensor and controller is imposed, as the control algorithm requires real-time state feedback.…”
Section: B Event-triggered Binary Communication Protocolmentioning
confidence: 99%