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Related Concept Videos

Classification of Systems-II01:31

Classification of Systems-II

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Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
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Linear time-invariant Systems01:23

Linear time-invariant Systems

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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
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BIBO stability of continuous and discrete -time systems01:24

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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
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Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

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Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
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Time and frequency -Domain Interpretation of PI Control01:27

Time and frequency -Domain Interpretation of PI Control

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Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
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Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

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Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
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Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Finite-Time Intermittent Anti-Disturbance Control for Discrete-Time Switched Systems With Stochastic Gain

Kui Ding, Quanxin Zhu, Wei Xing Zheng

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    Summary
    This summary is machine-generated.

    This study introduces a new finite-time intermittent anti-disturbance control for discrete-time switched systems. It addresses cyberattacks and partial information loss, offering a flexible and practical solution with reduced control costs.

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    Area of Science:

    • Control Systems Engineering
    • Discrete-Time Systems
    • Stochastic Systems

    Background:

    • Existing control methods for switched systems often rely on continuous control and common mode-dependent average dwell time (MDADT), limiting flexibility.
    • Real-world systems face complex challenges including external disturbances, malicious cyberattacks, and potential information loss, which are not fully addressed by current approaches.

    Purpose of the Study:

    • To develop a finite-time intermittent anti-disturbance control strategy for discrete-time switched systems under multiple disturbances and stochastic gain fluctuations.
    • To introduce a more flexible edge-dependent average dwell time mechanism and an intermittent composite anti-disturbance strategy to handle cyberattacks and information loss.

    Main Methods:

    • Developed a permissible edge-dependent average dwell time mechanism for enhanced flexibility in system switching.
    • Designed an intermittent composite anti-disturbance strategy to manage partial information loss due to disturbances and cyberattacks.
    • Proposed a novel finite-time intermittent H-infinity stabilization criterion and a practical optimization algorithm.

    Main Results:

    • The new control strategy effectively handles multiple disturbances and stochastic gain fluctuations in discrete-time switched systems.
    • The edge-dependent average dwell time mechanism provides broader applicability compared to MDADT.
    • The intermittent control approach successfully addresses scenarios with partial information loss and cyberattacks.
    • The proposed optimization algorithm effectively reduces control costs.

    Conclusions:

    • The finite-time intermittent anti-disturbance control scheme is validated on a two-shaft turbofan engine (TSTE) model, demonstrating its practical effectiveness.
    • The study offers a more robust, flexible, and cost-effective control solution for complex discrete-time switched systems facing realistic adversarial conditions.