IEEE Conference on Decision and Control and European Control Conference 2011
DOI: 10.1109/cdc.2011.6160938
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Suboptimal decentralized controller design for chain structures: Applications to vehicle formations

Abstract: Abstract-We consider suboptimal decentralized controller design for subsystems with interconnected dynamics and cost functions. A systematic design methodology is presented over the class of linear quadratic regulators (LQR) for chain graphs. The methodology is evaluated on heavy duty vehicle platooning with physical constraints. A simulation and frequency analysis is performed. The results show that the decentralized controller gives good tracking performance and a robust system. We also show that the design … Show more

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Cited by 36 publications
(28 citation statements)
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“…2). Thus, we analyze (14) by initially looking at only-affecting nodes. In fact, given an only-affecting node j which admits an f -ergodic error state, then f -ergodicity of an affected node i is preserved if j is a neighbor of i.…”
Section: Stability Analysismentioning
confidence: 99%
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“…2). Thus, we analyze (14) by initially looking at only-affecting nodes. In fact, given an only-affecting node j which admits an f -ergodic error state, then f -ergodicity of an affected node i is preserved if j is a neighbor of i.…”
Section: Stability Analysismentioning
confidence: 99%
“…It should be noted that the scheduling unit receives true error values from each node and decides the priorities considering the interconnections as well. Therefore, the error values in (8) are given by the expression (14). We define at every time k…”
Section: Stability Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…u denotes the control input and x is the state vector that entails the speed of the host vehicle, the relative distance to the closest preceding vehicle and the velocity of preceding vehicles in the platoon. For general LQR-design the weighting factors need to be specified and adjusted based upon the results of the specified design goals [40]. The lead vehicle's objective is to follow a given reference velocity.…”
Section: Control Designmentioning
confidence: 99%
“…For example, issues such as string stability [10]- [12], control designs when platooning [13], and intervehicle communication through limited bandwidth channels [14] or channels with communication delays [15] have been addressed. While there has been some contributions in the control of platoons and individual HDVs, they focus on single highways or congestion control.…”
Section: Introductionmentioning
confidence: 99%