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Related Concept Videos

Properties of the z-Transform I01:17

Properties of the z-Transform I

The z-transform is a fundamental tool in digital signal processing, enabling the analysis of discrete-time systems through its various properties. It is an invaluable tool for analyzing discrete-time systems, offering a range of properties that simplify complex signal manipulations. One fundamental property is linearity. For any two discrete-time signals, the z-transform of their linear combination equals the same linear combination of their individual z-transforms. This property is essential...
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The z-transform is a powerful mathematical tool used in the analysis of discrete-time signals and systems. It is an essential analytical tool, analogous to the Laplace transform used in continuous-time systems. It plays a crucial role in the analysis of signals and systems, complementing the discrete-time Fourier transform. Both the z-transform and the Laplace transform convert differential or difference equations into algebraic equations, simplifying the process of solving complex problems.
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Related Experiment Video

Updated: Jun 7, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

${\mathcal{L}}_{\infty}$ Control of Switched T-S Fuzzy Systems Under Relieved Asynchronous Switching: A Zonotope

Qian Shen, Shengyuan Xu, Yinlong Hu

    IEEE Transactions on Cybernetics
    |June 5, 2026
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a new asynchronous average dwell time (ADT) control method for discrete-time switched Takagi-Sugeno (T-S) fuzzy systems. This approach enhances stability and performance by relaxing dwell-time constraints in fuzzy control systems.

    Related Experiment Videos

    Last Updated: Jun 7, 2026

    Generation and Coherent Control of Pulsed Quantum Frequency Combs
    06:42

    Generation and Coherent Control of Pulsed Quantum Frequency Combs

    Published on: June 8, 2018

    Area of Science:

    • Control Systems Engineering
    • Fuzzy Logic Systems
    • Nonlinear Systems Analysis

    Background:

    • Discrete-time switched Takagi-Sugeno (T-S) fuzzy systems present complex control challenges.
    • Existing control methods often require restrictive dwell-time conditions, leading to conservatism.
    • Zonotopic analysis offers a promising framework for handling uncertainties in dynamic systems.

    Purpose of the Study:

    • To develop a novel zonotopic dynamic output-feedback control strategy for discrete-time switched T-S fuzzy systems.
    • To propose a relieved asynchronous average dwell time (ADT) switching scheme that reduces conservatism.
    • To ensure dual convergence and prescribed L-infinity performance for system states and outputs.

    Main Methods:

    • Construction of state and output zonotopes.
    • Introduction of multiple radius and center-distance functions for analysis.
    • Development of a relieved asynchronous ADT switching scheme, eliminating strict dwell-time requirements.
    • Leveraging radius- and center-distance-based analysis instead of Lyapunov-dependent approaches.
    • Co-design of ADT switching signals and switched fuzzy dynamic output-feedback controllers.

    Main Results:

    • Sufficient conditions derived for dual convergence and prescribed L-infinity performance of zonotopes.
    • The proposed ADT scheme successfully relaxes the conventional requirement for subsystem dwell time.
    • The zonotopic control scheme guarantees the stability of the closed-loop systems.
    • Demonstrated superiority and effectiveness through an illustrative example.

    Conclusions:

    • The novel zonotopic control scheme effectively addresses the L-infinity dynamic output-feedback control problem for discrete-time switched T-S fuzzy systems.
    • The proposed relieved asynchronous ADT switching strategy significantly reduces control conservatism.
    • The method provides a robust and effective approach for designing stable and high-performance switched fuzzy control systems.