A passivity result for fuzzy control systems

Calcev, G.

doi:10.1109/cdc.1996.573518

Cited by 8 publications

(5 citation statements)

References 6 publications

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“…In order to prove the stability of the proposed controller, Figure 2, an equivalent controller was constructed to match a popular passively stable fuzzy structure in the literature [31], [32], [33].…”

Section: B Proposed Controllermentioning

confidence: 99%

Hierarchical Rule-Base Reduction Fuzzy Control for Path Tracking Variable Linear Speed Differential Steer Vehicles

Dekhterman,

Norris,

Sreenivas

et al. 2023

Preprint

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Section: B Proposed Controllermentioning

confidence: 99%

Hierarchical Rule-Base Reduction Fuzzy Control for Path Tracking Variable Linear Speed Differential Steer Vehicles

Dekhterman,

Norris,

Sreenivas

et al. 2023

Preprint

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“…The passivity concept provides a strong tool to study the stability of systems and interconnected systems [28]. Any serial, parallel or negative feedback combination of two passive subsystems is also passive [20], [29].…”

Section: Passivity Theorymentioning

confidence: 99%

Stability and transparency analysis of a teleoperation chain for microscale interaction

Mohand-Ousaid

Bolopion

Haliyo

et al. 2014

2014 IEEE International Conference on Robotics and Automation (ICRA)

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Abstract-Microscale teleoperation with haptic feedback requires scaling gains in the order of 10 4 − 10 7 . These high gains impose a trade-off between stability and transparency. Due to the conservative approach used in most designs, transparency is reduced since damping is added to the system to guarantee stability. Starting from the fact that series, negative feedback and parallel connection of passive systems is a passive system, a new approach is addressed in this work. We propose here a complete teleoperation chain designed from the ground up for full transparency and stability, including a novel self-sensing probe and a high fidelity force-feedback haptic interface. By guaranteeing the passivity of each device and assuming that the human operator and the environment are passive systems, a homothetic direct coupling can be used without jeopardizing the stability and provides best transparency. The system is experimentally demonstrated in the complex case of a probe interacting with a water droplet under human control, while accurately transcribing the interaction back to operator.

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“…Meanwhile, time delays are inevitable encountered in many practical systems and usually the main reason resulting in instability, therefore, much attention has been focused on the problem of stability analysis for delayed NNs, and many related delay-independent and delay-dependent criteria have been reported in recent literature, see, e.g., [3][4][5][6][7][8]. Furthermore, as a powerful tool for analyzing the stability of systems, passivity theory has also considerable backgrounds in many control fields, for instance, fuzzy control [9] and signal processing [10].…”

Section: Introductionmentioning

confidence: 99%

Passivity Analysis of BAM NNs with Mixed Time Delays

Zhang

Wang

2015

Lecture Notes in Computer Science

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Abstract. This paper is concerned with a delay-differential equation modeling a bidirectional associative memory neural networks (BAM NNs) with mixed time delays. By using the inequality techniques, a Lyapunov-Krasovskii functional candidate is introduced to reach the novel sufficient conditions that warrant the passivity of delayed BAM NNs. The novel passivity criterion is proposed in terms of inequalities, which can be checked easily. A numerical example is provided to demonstrate the effectiveness of the proposed results.

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A passivity result for fuzzy control systems

Cited by 8 publications

References 6 publications

Hierarchical Rule-Base Reduction Fuzzy Control for Path Tracking Variable Linear Speed Differential Steer Vehicles

Hierarchical Rule-Base Reduction Fuzzy Control for Path Tracking Variable Linear Speed Differential Steer Vehicles

Stability and transparency analysis of a teleoperation chain for microscale interaction

Passivity Analysis of BAM NNs with Mixed Time Delays

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