Achieving an $\mathcal{L}_{2}$ string ...
Document type :
Autre communication scientifique (congrès sans actes - poster - séminaire...): Communication dans un congrès avec actes
Title :
Achieving an $\mathcal{L}_{2}$ string stable one vehicle look-ahead platoon with heterogeneity in time-delays
Author(s) :
Dileep, Deesh [Auteur]
Department of Computer Science - K.U.Leuven
Finite-time control and estimation for distributed systems [VALSE]
Fusco, Mauro [Auteur]
Integrated Vehicle Safety department [TNO]
Verhaegh, Jan [Auteur]
Integrated Vehicle Safety department [TNO]
Hetel, Laurentiu [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Richard, Jean-Pierre [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Michiels, Wim [Auteur]
Department of Computer Science - K.U.Leuven
Department of Computer Science - K.U.Leuven
Finite-time control and estimation for distributed systems [VALSE]
Fusco, Mauro [Auteur]
Integrated Vehicle Safety department [TNO]
Verhaegh, Jan [Auteur]
Integrated Vehicle Safety department [TNO]
Hetel, Laurentiu [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Richard, Jean-Pierre [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Michiels, Wim [Auteur]
Department of Computer Science - K.U.Leuven
Conference title :
ECC 2019 - 18th European Control Conference
City :
Naples
Country :
Italie
Start date of the conference :
2019-06-25
Publisher :
IEEE
English keyword(s) :
Index Terms-Decentralised control
Time-delay systems
H2/H-infinity methods
Linear systems
Large-scale systems
Time-delay systems
H2/H-infinity methods
Linear systems
Large-scale systems
HAL domain(s) :
Informatique [cs]/Systèmes et contrôle [cs.SY]
Informatique [cs]/Automatique
Mathématiques [math]/Optimisation et contrôle [math.OC]
Informatique [cs]/Automatique
Mathématiques [math]/Optimisation et contrôle [math.OC]
English abstract : [en]
A methodology is proposed to design stabilising and robust fixed-order decentralised controllers for heterogeneous vehicular platoons with Cooperative Adaptive Cruise Control (CACC). We consider Linear Time Invariant (LTI) ...
Show more >A methodology is proposed to design stabilising and robust fixed-order decentralised controllers for heterogeneous vehicular platoons with Cooperative Adaptive Cruise Control (CACC). We consider Linear Time Invariant (LTI) models with constant time-delays at state, input and output. The closed-loop systems of (identical) local controllers and heterogeneous parameter vehicles are modelled by a system of delay differential algebraic equations. The proposed frequency domain approach uses the non-conservative direct optimisation approach towards stabilisation and robustness optimisation of delay systems. In this paper, the design problem of stabilising (identical) controllers achieving L 2 string stability for one vehicle look-ahead platoon is reduced to a simultaneous controller design problem for a parameterised (sub)system, where the allowable values of the parameters correspond to heterogeneity (including time-delays) of the vehicles. By treating the heterogeneity in parameters as perturbations contained in specific intervals or regions, we determine the values for pseudo-spectral abscissa and robust induced L 2 norm. Hence, we ensure that the achieved exponential stability and string stability properties along with the overall computational complexity (of designing the controller) are independent of the number of vehicles. The application of CACC is simulated in MATLAB software.Show less >
Show more >A methodology is proposed to design stabilising and robust fixed-order decentralised controllers for heterogeneous vehicular platoons with Cooperative Adaptive Cruise Control (CACC). We consider Linear Time Invariant (LTI) models with constant time-delays at state, input and output. The closed-loop systems of (identical) local controllers and heterogeneous parameter vehicles are modelled by a system of delay differential algebraic equations. The proposed frequency domain approach uses the non-conservative direct optimisation approach towards stabilisation and robustness optimisation of delay systems. In this paper, the design problem of stabilising (identical) controllers achieving L 2 string stability for one vehicle look-ahead platoon is reduced to a simultaneous controller design problem for a parameterised (sub)system, where the allowable values of the parameters correspond to heterogeneity (including time-delays) of the vehicles. By treating the heterogeneity in parameters as perturbations contained in specific intervals or regions, we determine the values for pseudo-spectral abscissa and robust induced L 2 norm. Hence, we ensure that the achieved exponential stability and string stability properties along with the overall computational complexity (of designing the controller) are independent of the number of vehicles. The application of CACC is simulated in MATLAB software.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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