An assume-guarantee approach to sampled-data quantized glucose control

Loreto, Ilaria Di; Borri, Alessandro; Benedetto, Maria Domenica Di

doi:10.1109/cdc42340.2020.9304434

Cited by 7 publications

(6 citation statements)

References 18 publications

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“…On the other hand, assume-guarantee contracts that capture invariance properties are presented in [11] and used for symbolic controller synthesis in [12], [13]. Applications of these contracts can be found in [14], [15]. Contracts for safety are presented in [16], while the contracts in [17] are used for finite-time reach and avoid or infinite-time invariance.…”

Section: Introductionmentioning

confidence: 99%

“…Finally, the authors of [18] focus on using contracts to represent linear constraints, and develop efficient computational tools based on linear programming. As opposed to the contracts in this paper, which are used to express specifications on the dynamics of continuoustime systems, the contracts in [8], [9], [10], [18] are defined only for discrete-time systems, and the contracts in [11], [12], [13], [14], [15], [16] cannot express specifications on dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Behavioural assume-guarantee contracts for linear dynamical systems

Shali¹,

Schaft²,

Besselink³

2021

Preprint

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Motivated by the growing requirements on the operation of complex engineering systems, we present contracts as specifications for continuous-time linear dynamical systems with inputs and outputs. A contract is defined as a pair of assumptions and guarantees, both characterized in a behavioural framework. The assumptions encapsulate the available information about the dynamic behaviour of the environment in which the system is supposed to operate, while the guarantees express the desired dynamic behaviour of the system when interconnected with relevant environments. In addition to defining contracts, we characterize contract implementation, and we find necessary conditions for the existence of an implementation. We also characterize contract refinement, which is used to characterize contract conjunction in two special cases. These concepts are then illustrated by an example of a vehicle following system.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Behavioural assume-guarantee contracts for linear dynamical systems

Shali¹,

Schaft²,

Besselink³

2021

Preprint

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“…Different types of contracts have already been used as specifications for dynamical systems. For example, parametric assume-guarantee contracts are introduced in [20] and used for control synthesis in [21], [22], while assumeguarantee contracts that can capture invariance are presented in [23] and applied in [24], [25]. Related work on contracts can also be found in [26], [27], [28].…”

Section: Introductionmentioning

confidence: 99%

“…Related work on contracts can also be found in [26], [27], [28]. Whereas the contracts in this paper express specifications on the dynamics of continuous-time systems, the contracts in [20], [21], [22], [28] are defined only for discrete-time systems, and the contracts in [24], [25], [26] cannot express specifications on dynamics. In this respect, the contracts in this paper are most closely related to the contracts in [29], while [30], [31], [32] contain closely related work on compositional reasoning.…”

Section: Introductionmentioning

confidence: 99%

Behavioural assume-guarantee contracts for linear dynamical systems

Shali

Schaft

Besselink

2021

2021 60th IEEE Conference on Decision and Control (CDC)

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We present assume-guarantee contracts for continuous-time linear dynamical systems with inputs and outputs. These contracts are used to express specifications on the dynamic behaviour of a system. Contrary to existing approaches, we use simulation to compare the dynamic behaviour of two systems. This has the advantage of being supported by efficient numerical algorithms for verification as well as being related to the rich literature on (bi)simulation based techniques for verification and control, such as those based on (discrete) abstractions. Using simulation, we define contract implementation and a notion of contract refinement. We also define a notion of series composition for contracts, which allows us to reason about the series interconnection of systems on the basis of the contracts on its components. Together, the notions of refinement and composition allow contracts to be used for modular design and analysis of interconnected systems.

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“…On the other hand, assume-guarantee contracts that capture invariance properties are introduced in [50] and used for symbolic controller synthesis in [51,52]. Other applications of these contracts can be found in [53,54], while the contracts in [55,56] can be seen as extensions. Contracts are also used to express safety requirements in [57], specifications on dynamics for continuous linear systems in [58], and finite-time reach and infinite-time avoidance in [59].…”

Section: Relevant Literaturementioning

confidence: 99%

Contract theory for linear control systems

Shali

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The publication may also be distributed here under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license. More information can be found on the University of Groningen website: https://www.rug.nl/library/open-access/self-archiving-pure/taverneamendment.vi I want to express my sincere appreciation of Kanat Camlibel and Harry Trentelman, whose inspiration during my bachelor's and master's studies played a pivotal role in my decision to pursue a PhD degree. Similarly, I am thankful to Henk van Waarde for his invaluable mentorship throughout the last five years; as a master thesis supervisor at first, as a senior colleague later, and as a postdoc supervisor now. You have truly been a role model to me.My PhD journey would not have been as fulfilling without my wonderful colleagues in the SCO (SCAA) group at the Bernoulli Institute. In particular, I am grateful to my current and former office mates, Armin, Yongzhang, Mark, and Jaap, for transforming our office into a dynamic space where the boundary between serious scientific discussions and lighthearted banter often became quite murky. I am also grateful to Amir, Hamin, Koorosh and Radu for being such great company during our afternoon walks. To all current, former, and temporary members of the SCO group, including

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An assume-guarantee approach to sampled-data quantized glucose control

Cited by 7 publications

References 18 publications

Behavioural assume-guarantee contracts for linear dynamical systems

Behavioural assume-guarantee contracts for linear dynamical systems

Behavioural assume-guarantee contracts for linear dynamical systems

Contract theory for linear control systems

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