Related Experiment Video
Updated: Jan 25, 2026

07:00
Measuring the Switch Cost of Smartphone Use While Walking
Published on: April 30, 2020
2.2K
Dissipative Filtering for Switched Fuzzy Systems With Missing Measurements
IEEE Transactions on Cybernetics
|April 30, 2019
Summary
This study addresses dissipative filtering for discrete-time switched fuzzy systems with missing data. The proposed method ensures filtering error system stability and dissipativity, validated by simulations.
Area of Science:
- Control Systems Engineering
- Fuzzy Logic Systems
- Stochastic Systems
Background:
- Discrete-time switched fuzzy systems combine Takagi-Sugeno fuzzy models and switched system dynamics.
- Missing measurements in control systems, often due to data loss, pose significant challenges.
- Dissipative filtering aims to design filters that guarantee stability and energy-related properties.
Purpose of the Study:
- To investigate the dissipative filtering problem for discrete-time switched fuzzy systems with missing measurements.
- To develop sufficient conditions for exponential stability and strict dissipativity of the filtering error system.
- To validate the proposed filtering approach through simulation examples.
Main Methods:
- Modeling the system as a discrete-time switched fuzzy system incorporating Takagi-Sugeno characteristics.
- Characterizing missing measurements using a Bernoulli binary distribution to model data loss.
- Employing the Lyapunov function technique to derive stability and dissipativity conditions.
- Designing a filter to ensure the desired performance properties.
Main Results:
- Sufficient conditions for the exponential stability of the filtering error system were derived.
- Conditions ensuring strict dissipativity of the filtering error system were established.
- The proposed filtering method was demonstrated to be effective through two simulation examples.
Conclusions:
- The developed method provides a robust approach to dissipative filtering for discrete-time switched fuzzy systems with missing measurements.
- The Lyapunov function technique effectively guarantees the stability and dissipativity of the filtering error system.
- Simulation results confirm the validity and practical applicability of the proposed filtering strategy.
Related Concept Videos
Power Dissipated in a Circuit: Problem Solving
1.6K
The equivalent resistance of a combination of resistors depends on their values and how they are connected.
The simplest combinations of resistors are series and parallel connections. In a series circuit, the first resistor's output current flows into the second resistor's input; therefore, each resistor's current is the same. Thus, the equivalent resistance is the algebraic sum of the resistances. The current through the circuit can be found from Ohm's law and is equal to the...
The simplest combinations of resistors are series and parallel connections. In a series circuit, the first resistor's output current flows into the second resistor's input; therefore, each resistor's current is the same. Thus, the equivalent resistance is the algebraic sum of the resistances. The current through the circuit can be found from Ohm's law and is equal to the...
1.6K
Switching of BJT
822
Switching behavior in Bipolar Junction Transistors (BJTs) is a fundamental aspect utilized in various electronic circuits, particularly for digital logic applications like switches and amplifiers. In a typical switching circuit, a BJT alternates between cut-off and saturation modes, corresponding to the "off" and "on" states, respectively, thus behaving like an ideal switch.
Cut-off Mode ("Off" State): In this state, both the emitter-base and collector-base junctions are...
Cut-off Mode ("Off" State): In this state, both the emitter-base and collector-base junctions are...
822
Passive Filters
974
Passive filters are utilized to shape the frequency spectrum of signals across a diverse array of applications. These filters, using only passive elements like resistors (R), inductors (L), and capacitors (C), are capable of selectively allowing or blocking certain frequency ranges without the need for external power sources.
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff...
Low-Pass Filters
Low-pass filters are designed to transmit signals with frequencies lower than the cutoff frequency, ωc, and attenuate those above it. The cutoff...
974
Active Filters
1.3K
Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
1.3K
Second Order systems II
396
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
396
First Order Systems
412
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
412

