Cruise Control in Hybrid Event-B

Banach, Richard; Butler, Michael

doi:10.1007/978-3-642-39718-9_5

Cited by 12 publications

(15 citation statements)

References 12 publications

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“…The lane centering case study explored in this paper forms a natural accompaniment to another automotive-based case study, on cruise control, done by the present authors in [10]. The contrast between the two is instructive.…”

Section: Michael Butlermentioning

confidence: 98%

“…In reality, the LCC only works when an adaptive cruise control system is actively controlling the speed of the car, leading to a coupling between the two systems. As noted in the Introduction, we have considered cruise control earlier in [10], but for simplicity, in this paper we neglect the coupling between it and the LCC. In the same vein, we neglect the lateral offset parameter, and a number of more subtle considerations concerning circumstances under which the LCC has to curtail its activity because the information it has is insufficient, or is of insufficient quality.…”

Section: Lane Centering Controller Overviewmentioning

confidence: 99%

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A Hybrid Event-B Study of Lane Centering

Banach

Butler

2014

Complex Systems Design &Amp; Management

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A case study on automotive lane centering control is examined in Hybrid Event-B (an extension of Event-B that includes provision for continuously varying behaviour as well as the usual discrete changes of state). This allows aspects beyond the reach of a discrete Event-B treatment to be more deeply investigated. Lane centering offers particular challenges concerning how the monitoring of continuously varying continuous functions is handled and how this interacts with discrete mode-level decision making.

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Section: Michael Butlermentioning

confidence: 98%

Section: Lane Centering Controller Overviewmentioning

confidence: 99%

A Hybrid Event-B Study of Lane Centering

Banach

Butler

2014

Complex Systems Design &Amp; Management

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“…Firstly, the values established by the initialisation must satisfy the invariants. This is expressed formally in POs (11) and (12).…”

Section: Event-b Machinesmentioning

confidence: 99%

“…The INIT guard specifies initial constraints that must hold concerning the pliant variables (and, if any, constraints that mix mode and pliant variables), and the WHERE guard specifies initial constraints that must hold concerning mode variables alone. 12 The ANY clause introduces parameters i?, l, o!, satisfying the restrictions mentioned in Section 4.6. As with mode events, if there is no ANY clause, the WHERE clause can be renamed WHEN.…”

Section: Syntax Of Core Hybrid Event-b Machinesmentioning

confidence: 99%

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Core Hybrid Event-B I: Single Hybrid Event-B machines

Banach

Butler

Qin

et al. 2015

Science of Computer Programming

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Faced with the increasing need for correctly designed hybrid and cyber-physical systems today, the problem of including provision for continuously varying behaviour as well as the usual discrete changes of state is considered in the context of Event-B. An extension of Event-B called Hybrid Event-B is presented, that accommodates continuous behaviours (called pliant events) in between familiar discrete transitions (called mode events in this context). The continuous state change can be specified by a combination of indirect specification via ordinary differential equations, or direct specification via assignment of variables to values that depend on time, or indirect specification by demanding that behaviour obeys a time dependent predicate. The syntactic elements of the extension are discussed, and the semantics is described in terms of the properties of time dependent valuations of variables. Refinement is examined in detail, with reference to the notion of refinement inherited from discrete Event-B. A full suite of proof obligations is presented, covering all aspects of the new framework. A selection of examples and case studies is presented. A particular challenge -bearing in mind the desirability of conforming to existing intuitions about discrete Event-B, and the impact on tool support (as embodied in tools for discrete Event-B like Rodin)-is to design the whole framework so as to disturb as little as possible the existing structures for handling discrete Event-B.

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Modular Verification of Vehicle Platooning with Respect to Decisions, Space and Time

Kamali¹,

Linker

Fisher

2019

Communications in Computer and Information Science

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The spread of autonomous systems into safety-critical areas has increased the demand for their formal verification, not only due to stronger certification requirements but also to public uncertainty over these new technologies. However, the complex nature of such systems, for example, the intricate combination of discrete and continuous aspects, ensures that whole system verification is often infeasible. This motivates the need for novel analysis approaches that modularise the problem, allowing us to restrict our analysis to one particular aspect of the system while abstracting away from others. For instance, while verifying the real-time properties of an autonomous system we might hide the details of the internal decision-making components. In this paper we describe verification of a range of properties across distinct dimesnions on a practical hybrid agent architecture. This allows us to verify the autonomous decision-making, real-time aspects, and spatial aspects of an autonomous vehicle platooning system. This modular approach also illustrates how both algorithmic and deductive verification techniques can be applied for the analysis of different system subcomponents.

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Cruise Control in Hybrid Event-B

Cited by 12 publications

References 12 publications

A Hybrid Event-B Study of Lane Centering

A Hybrid Event-B Study of Lane Centering

Core Hybrid Event-B I: Single Hybrid Event-B machines

Modular Verification of Vehicle Platooning with Respect to Decisions, Space and Time

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