Controllability and invariance of monotone systems for robust ventilation automation in buildings

Meyer, Pierre-Jean; Girard, Antoine; Witrant, Emmanuel

doi:10.1109/cdc.2013.6760060

Cited by 16 publications

(23 citation statements)

References 10 publications

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“…When the state space is of dimension 2, we can easily obtain a graphical representation of the subspaces C and W, which facilitates the choice of the target interval [14]. In our case, such a graphical representation is more complicated to obtain due to the 4 dimensions.…”

Section: A Controller Implementationmentioning

confidence: 97%

“…For rigorous definitions and proofs of the notions presented in this section, see the extended version of [14] available at the link given in page 1.…”

Section: Monotonicity and Robust Controlled Invariancementioning

confidence: 99%

“…We should note that our focus is not on the efficiency of a controller but simply on checking if the invariance can be achieved in the chosen interval. For a deeper discussion on the monotonicity of our system and the results involving the Robust Controlled Invariance, the reader is referred to the theoretical counterpart of this paper in [14] 1 . The paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

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Experimental implementation of UFAD regulation based on Robust Controlled Invariance

Meyer

Nazarpour

Girard

et al. 2014

2014 European Control Conference (ECC)

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In this paper, we implement a temperature regulation strategy on a small-scale building equipped with UnderFloor Air Distribution (UFAD). Using a 0-dimensional model of the temperature variations in the building identified from experimental measurements, this strategy is based on the criteria of Robust Controlled Invariance, which give a characterization of the limits for a robust controller to keep the state of the system in an interval. These criteria are defined for monotone systems with bounded disturbances and thus are independent of the chosen control strategy.

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Section: A Controller Implementationmentioning

confidence: 97%

“…For rigorous definitions and proofs of the notions presented in this section, see the extended version of [14] available at the link given in page 1.…”

Section: Monotonicity and Robust Controlled Invariancementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental implementation of UFAD regulation based on Robust Controlled Invariance

Meyer

Nazarpour

Girard

et al. 2014

2014 European Control Conference (ECC)

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“…The system considered is based on a 4-room small-scale experimental building equipped with UFAD sketched in Figure 2. A model of the temperature variations in each room is derived from the energy and mass conservation equations in the room [2]. The obtained model is an ordinary differential equation involving the temperature of each room (the state), the ventilation from the underfloor (control input in each room) and continuous and discrete disturbances (outside temperature, door opening, .…”

Section: Underfloor Air Distributionmentioning

confidence: 99%

Symbolic control of monotone systems application to ventilation regulation in buildings

Meyer

Girard

Witrant

2015

Proceedings of the 18th International Conference on Hybrid Systems: Computation and Control

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We describe an application of symbolic control to ventilation regulation in buildings. The monotonicity property of a nonlinear control system subject to disturbances, modeling the process, is exploited to obtain symbolic abstractions, in the sense of alternating simulation. The resulting abstractions consist of non-deterministic finite transition systems, for which we can synthesize supervisory safety controllers to keep the room temperatures within prescribed bounds. To choose among possible control inputs preserving safety, we consider the problem of minimizing a given cost function and apply a receding horizon control scheme. The approach has been applied to temperature regulation on a small-scale building equipped with underfloor air distribution (UFAD). To the best of our knowledge, this is the first report of experimental implementation of symbolic controllers.

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“…These results are in the spirit of [8,19], where the authors considered the problem of computing reachability sets of a monotone system. Some parallels can be also drawn with [15,5], where feedback controllers for monotone systems were proposed.…”

Section: Introductionmentioning

confidence: 99%

Shaping pulses to control bistable systems: Analysis, computation and counterexamples

et al. 2016

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In this paper we study how to shape temporal pulses to switch a bistable system between its stable steady states. Our motivation for pulse-based control comes from applications in synthetic biology, where it is generally difficult to implement real-time feedback control systems due to technical limitations in sensors and actuators. We show that for monotone bistable systems, the estimation of the set of all pulses that switch the system reduces to the computation of one non-increasing curve. We provide an efficient algorithm to compute this curve and illustrate the results with a genetic bistable system commonly used in synthetic biology. We also extend these results to models with parametric uncertainty and provide a number of examples and counterexamples that demonstrate the power and limitations of the current theory. In order to show the full potential of the framework, we consider the problem of inducing oscillations in a monotone biochemical system using a combination of temporal pulses and event-based control. Our results provide an insight into the dynamics of bistable systems under external inputs and open up numerous directions for future investigation.

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Controllability and invariance of monotone systems for robust ventilation automation in buildings

Cited by 16 publications

References 10 publications

Experimental implementation of UFAD regulation based on Robust Controlled Invariance

Experimental implementation of UFAD regulation based on Robust Controlled Invariance

Symbolic control of monotone systems application to ventilation regulation in buildings

Shaping pulses to control bistable systems: Analysis, computation and counterexamples

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