Singularly perturbed implicit control law for linear time varying delay SISO systems with unknown parameters

2014 ◽  
Author(s):  
S. Puga ◽  
M. Bonilla ◽  
S. Mondie ◽  
M. Malabre
Keyword(s):  
Linear Time ◽  
Singularly Perturbed ◽  
Control Law ◽  
Time Varying ◽  
Unknown Parameters ◽  
Time Varying Delay ◽  
Varying Delay ◽  
Siso Systems

Singularly perturbed implicit control law for linear time-varying delay MIMO systems

2015 ◽  
Vol 26 (7) ◽  
pp. 1395-1421 ◽  
Author(s):  
Saul Puga ◽  
Moises Bonilla ◽  
Michel Malabre ◽  
Sabine Mondié ◽  
Rogelio Lozano
Keyword(s):  
Mimo Systems ◽  
Linear Time ◽  
Singularly Perturbed ◽  
Control Law ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

Singularly perturbed implicit control law for linear time varying SISO systems

2013 ◽  
Vol 24 (10) ◽  
pp. 1530-1549 ◽  
Author(s):  
S. Puga ◽  
M. Bonilla ◽  
M. Malabre ◽  
R. Lozano
Keyword(s):  
Linear Time ◽  
Singularly Perturbed ◽  
Control Law ◽  
Time Varying ◽  
Siso Systems

scholarly journals Input–output linearization of non-linear time-varying delay systems: the single-input single-output case

2019 ◽  
Vol 37 (3) ◽  
pp. 831-854
Author(s):  
Ihab Haidar ◽  
Florentina Nicolau ◽  
Jean-Pierre Barbot ◽  
Woihida Aggoune
Keyword(s):  
Linear Time ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Output Stabilization ◽  
Non Linear ◽  
Varying Delay ◽  
Input Output Linearization

Abstract This paper deals with the input–output linearization of non-linear time-varying delay systems. We introduce an extension of the Lie derivative for time-varying delay systems and derive sufficient conditions for the existence of a causal and bounded non-linear feedback linearizing the input–output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization are also presented. Finally, several examples illustrating our main results are discussed.

Event-triggered control of vehicular platoon system with time-varying delay and sensor faults

2020 ◽  
Vol 234 (14) ◽  
pp. 3362-3372
Author(s):  
Kritika Bansal ◽  
Pankaj Mukhija
Keyword(s):  
Communication Strategy ◽  
Energy Resources ◽  
Control Law ◽  
Time Varying ◽  
Sensor Faults ◽  
Time Varying Delay ◽  
System A ◽  
Event Triggering ◽  
Leader Following ◽  
Varying Delay

This paper addresses the problem of control of a vehicular platoon system with limited on-board resources in the presence of time-varying delay and sensor faults. A platoon system with predecessor-leader following topology in which each vehicle suffers from probabilistic sensor faults and time-varying delay is considered. To reduce the utilization of communication and energy resources in the system, a novel event-triggering communication strategy at the sensor-controller channel is proposed. Based on the proposed triggering strategy, a criteria for co-designing of the triggering parameter and the control law ensuring internal stability of the platoon system is developed. Furthermore, additional conditions are established for the obtained controller to guarantee string stability of the platoon system. The efficacy of the proposed methodology is demonstrated through numerical simulations.

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