We present an approach to prove safety (collision freedom) of multi-lane motorway traffic with lane-change manoeuvres. This is ultimately a hybrid verification problem due to the continuous dynamics of the cars. We abstract from the dynamics by introducing a new spatial interval logic based on the view of each car. To guarantee safety, we present two variants of a lane-change controller, one wi...

This paper presents the qualitative heterogeneous control framework, a methodology for the design of a controlled hybrid system based on attractors and transitions between them. This framework designs a robust controller that can accommodate bounded amounts of parametric and structural uncertainty. This framework provides a number of advantages over other similar techniques. The local models us...

This paper presents a Model Predictive Control scheme in connection with the Mixed Logical Dynamical framework, which tackles the modelling and optimal control problem of supermarket refrigeration systems. The latter are hybrid systems with switched nonlinear dynamics and discrete-valued input variables such as valves. Simulation results indicate the potential increase in efficiency and reduced...

We call a hybrid system stable if every trajectory inevitably ends up in a given region. Our notion of stability deviates from classical definitions in control theory. In this paper, we present a model checking algorithm for stability in the new sense. The idea of the algorithm is to reduce the stability proof for the whole system to a set of (smaller) proofs for several one-mode systems.

Force control and manipulation involving contacts are essentially hybrid control problems because of the inherent switching present in the dynamic behavior when the manipulator comes in contact with and leaves a surface. In this study, the game theoretic approach of hybrid control design is used to synthesize the least restrictive control law for a robotic manipulator to establish and maintain ...

We propose a hybrid mesh deformation algorithm which uses the direction of the boundary deformation to determine the positions of the interior mesh vertices in the deformed mesh. Our goal is to produce meshes on deformed domains which maintain mesh ‘similar’ element shape and possess no inverted elements. The hybrid mesh deformation algorithm consists of two steps, anisotropic finite element-ba...

This paper explains how to stabilize a “nonholonomic integrator” using a hybrid control law employing switching and logic. Results concerning asymptotic stability and exponential convergence to the origin are derived. The notion of a (positively) invariant set is extended to hybrid systems and sufficient conditions for invariance are presented. The verification of these conditions does not requ...

Qualitative behaviors of first-order delay differential equations with piecewise constant arguments are the subject of many investigations see, e.g., 1–19 , while those of higherorder equations are not. However, there are reasons for studying higher-order equations with piecewise constant arguments. Indeed, as mentioned in 10 , a potential application of these equations is in the stabilization ...

Path-dependent impulse differential inclusions, and in particular, path-dependent hybrid control systems, are defined by a path-dependent differential inclusion (or path-dependent control system, or differential inclusion and control systems with memory) and a pathdependent reset map. In this paper, we characterize the viability property of a closed subset of paths under an impulse path-depende...

6 Compositional specification of a forest landscape model using CPDPs 34 6.