Lp String Stability of Cascaded Systems: Application to Vehicle Platooning

By Jeroen Ploeg, Nathan van de Wouw, H. Nijmeijer. IEEE Transactions on Control Systems Technology, 2014

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Stability and Scalability of Homogeneous Vehicular Platoon: Study on the Influence of Information Flow Topologies (2016, background): “Many existing literature on platoon analysis belongs to the study of structured control law in an explicit or implicit way, see [6], [17], [18], and [20] for examples.”
Distributed Model Predictive Control for Heterogeneous Vehicle Platoons Under Unidirectional Topologies (2016, background): “Note that the constant speed assumption for the leader characterizes the desired equilibrium for a platoon, which is widely used for theoretical analysis in the literature [3], [9], [13]–[16].”
String Stability and a Delay-Based Spacing Policy for Vehicle Platoons Subject to Disturbances (2017, background): “nces, the deﬁnition of disturbance string stability in Deﬁnition 3 is equivalent to the notion of asymptotic string stability in Deﬁnition 2. Moreover, it extends the deﬁnition of string stability in [28] by allowing for disturbances on all vehicles rather than the lead vehicle only and explicitly c”
Dynamical Modeling and Distributed Control of Connected and Automated Vehicles: Challenges and Opportunities (2017, background): “For instance, under PF topology, a platoon can be naturally viewed as unidirectional cascade systems, which only needs to study any two successive vehicles to guarantee stability; see [9], [15], [20] and [28].”