Dissipative Systems

Brogliato, Bernard; Lozano, Rogelio; Maschke, Bernhard; Egeland, Olav

doi:10.1007/978-3-030-19420-8_4

Cited by 5 publications

(7 citation statements)

References 132 publications

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“…Focusing on the behaviour around an equilibrium of interest, we can show in both cases that if k2k4Z1∗=k1k3Z2∗, then the ‘controller block’ corresponds to a positive real (PR) system. It is also known [71] that the negative feedback interconnection of a PR block and a weakly strictly PR (WSPR) one yields an overall asymptotically stable system. Consequently, for every WSPR ‘cloud block’, asymptotic closed-loop stability can be guaranteed.…”

Section: Closed-loop Stabilitymentioning

confidence: 99%

Regulation strategies for two-output biomolecular networks

Alexis,

Schulte,

Cardelli

et al. 2023

J. R. Soc. Interface.

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Feedback control theory facilitates the development of self-regulating systems with desired performance which are predictable and insensitive to disturbances. Feedback regulatory topologies are found in many natural systems and have been of key importance in the design of reliable synthetic bio-devices operating in complex biological environments. Here, we study control schemes for biomolecular processes with two outputs of interest, expanding previously described concepts based on single-output systems. Regulation of such processes may unlock new design possibilities but can be challenging due to coupling interactions; also potential disturbances applied on one of the outputs may affect both. We therefore propose architectures for robustly manipulating the ratio/product and linear combinations of the outputs as well as each of the outputs independently. To demonstrate their characteristics, we apply these architectures to a simple process of two mutually activated biomolecular species. We also highlight the potential for experimental implementation by exploring synthetic realizations both in vivo and in vitro . This work presents an important step forward in building bio-devices capable of sophisticated functions.

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Section: Closed-loop Stabilitymentioning

confidence: 99%

Regulation strategies for two-output biomolecular networks

Alexis,

Schulte,

Cardelli

et al. 2023

J. R. Soc. Interface.

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“…In general, when the system is dissipative, storage functions are closely related to some viscosity sub-solutions of partial differential inequalities called Hamilton-Jacobi inequalities. We refer the reader to [32,Chapter 4] for more details on this subject. One can remark that, under suitable regularity and boundedness assumptions on the dynamics and the cost, the value function (its opposite more precisely) can be taken as a storage function, and the dissipativity inequality is then deduced from the Dynamic Programming Principle (DPP).…”

Section: Commentsmentioning

confidence: 99%

“…The concept of (strict) dissipativity, as introduced in [21], is defined in a broad context, accompanied by related notions like the available storage function and the supply rate function. In cases where a system exhibits dissipativity with a specified supply rate function, the inquiry into identifying a suitable storage function has been extensively investigated (refer to, e.g., [32]). This inquiry bears resemblance to the task of determining an appropriate Lyapunov function in the Lyapunov second method, which ensures the stability of a system.…”

Section: Introductionmentioning

confidence: 99%

On the asymptotic behavior of the value function in large time optimal control problems

Ašković¹,

Trélat²,

Zidani³

2022

IFAC-PapersOnLine

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“…This means that passive haptic displays do not generate energy, so the system is stable. 20–22 In this paper, the passivity conditions were derived under the road condition of constant friction coefficient in which the vehicle has passive characteristics. That is, the estimation parameter is assumed to be constant and the rack tracking error is assumed to be zero.…”

Section: Passivity Analysis Of Haptic Control Algorithmmentioning

confidence: 99%

Haptic control of steer-by-wire systems using parameter estimation of rack system lateral load model

Lee

Kim

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part D:

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This paper describes a haptic control of steer-by-wire systems for rendering the conventional steering system under various road conditions using parameter estimation of rack system lateral load model. To design the conventional steering system model, the dynamic model of a rack system has been developed as a mass-spring-damper system with a friction model. An online parameter estimation of the rack system was designed to consider the various road conditions in the haptic rendering. In a steering wheel system, which is a haptic device, a limit cycle, and instable behavior can occur due to the sampling rate and quantization. To prevent the limit cycle and instable behavior, a passivity analysis was conducted and constraint conditions of the rendering coefficient was derived. The haptic control algorithm is designed to render the conventional steering system without limit cycles using passivity conditions. The performance of the proposed controller was evaluated via both computer simulations and vehicle tests under various steering conditions. The results demonstrate that the proposed algorithm ensures haptic rendering performance on dry and wet asphalt conditions.

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Dissipative Systems

Cited by 5 publications

References 132 publications

Regulation strategies for two-output biomolecular networks

Regulation strategies for two-output biomolecular networks

On the asymptotic behavior of the value function in large time optimal control problems

Haptic control of steer-by-wire systems using parameter estimation of rack system lateral load model

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