Related Experiment Video
Updated: Jan 20, 2026
08:38
A System for Tracking the Dynamics of Social Preference Behavior in Small Rodents
Published on: November 21, 2019
8.1K
Fuzzy tracking control of fuzzy linear dynamical systems
Seyed Mohammad Mehdi Abbasi1, Aliakbar Jalali1
1Department of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran.
ISA Transactions
|August 26, 2019
Summary
This study introduces fuzzy tracking control for uncertain linear systems using fuzzy numbers. Novel fuzzy control laws ensure system output tracks desired inputs while rejecting fuzzy disturbances.
Area of Science:
- Control Engineering
- Fuzzy Systems
- Dynamical Systems
Background:
- Uncertain linear dynamical systems pose challenges for precise control.
- Fuzzy numbers can represent system uncertainties effectively.
- Fuzzy differential equations model these uncertain systems.
Purpose of the Study:
- To develop fuzzy tracking control laws for uncertain linear dynamical systems.
- To address the challenge of fuzzy disturbances in control systems.
- To ensure system output accurately tracks reference inputs.
Main Methods:
- Utilizing Mazandarani's approach and granular differentiability for fuzzy differential equations.
- Proposing two distinct fuzzy control laws based on theorems.
- Implementing fuzzy state feedback with fuzzy gains and a pre-compensator.
Main Results:
- The first fuzzy control law achieves tracking using fuzzy state feedback.
- The second fuzzy control law effectively rejects fuzzy disturbances.
- Demonstrated effectiveness through simulations on a two-tank system and aircraft control.
Conclusions:
- The proposed fuzzy control strategies are effective for uncertain linear systems.
- Fuzzy tracking control can successfully manage system uncertainties and disturbances.
- The methods provide robust control solutions for complex dynamic systems.
Related Concept Videos
01:23Linear time-invariant Systems
876
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...
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...
876
01:13Linear Momentum in Control Volume
1.3K
Newton's second law is applied to obtain the linear momentum in a control volume in a fluid system. According to this law, the rate of change of linear momentum is equal to the sum of external forces acting on the system. When a control volume matches the fluid system at a specific moment, the forces acting on both are identical. Reynolds transport theorem helps explain this by breaking down the system's linear momentum into two components: the rate of change of linear momentum within...
1.3K
01:10Control Systems
1.8K
Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
At the heart...
At the heart...
1.8K
01:25Control Systems: Applications
1.1K
Electrical engineering plays a pivotal role in our daily lives, with control systems at the heart of many applications, from home appliances to sophisticated space shuttles. Control systems manage and regulate the behavior of devices and processes, ensuring they function safely, correctly, and efficiently.
In modern vehicles, control systems manage various functions to enhance performance and safety. The steering wheel and accelerator are primary inputs in a car's control system. The...
In modern vehicles, control systems manage various functions to enhance performance and safety. The steering wheel and accelerator are primary inputs in a car's control system. The...
1.1K
01:26Feedback control systems
691
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
691
01:17Open and closed-loop control systems
1.6K
Control systems are foundational elements in automation and engineering. They are broadly categorized into open-loop and closed-loop systems. These classifications hinge on the presence or absence of feedback mechanisms, significantly influencing the system's performance, complexity, and application.
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
1.6K