Related Experiment Video
Updated: Jun 21, 2025
08:18
WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
Published on: August 15, 2020
5.0K
Adaptive fixed-time fuzzy containment control for uncertain nonlinear multiagent systems with unmeasurable states
Ruixia Liu1, Lei Xing2, Yongjian Zhong3
1School of Automation, Xi'an University of Posts and Telecommunications, Xi'an, 710072, China.
Scientific Reports
|July 9, 2024
Summary
This study presents adaptive fixed-time fuzzy containment control for uncertain nonlinear multiagent systems. The proposed controller ensures follower agents converge to the leader agents' convex hull in fixed-time, even with unmeasurable states and unknown nonlinear functions.
Area of Science:
- Control Theory
- Artificial Intelligence
- Systems Engineering
Background:
- Multiagent systems often face challenges with uncertain nonlinear dynamics.
- Controller design is complicated by unmeasurable states and unknown nonlinear functions.
Purpose of the Study:
- To develop an adaptive fixed-time fuzzy containment control protocol.
- To address unmeasurable states and unknown nonlinear functions in multiagent systems.
Main Methods:
- Utilized fuzzy logic systems for approximating unknown nonlinear functions.
- Developed a state observer to handle unmeasurable states.
- Employed adaptive backstepping and adding one power integrator techniques.
- Applied fixed-time Lyapunov function theory and cooperative control frameworks.
Main Results:
- Derived a novel adaptive fixed-time fuzzy containment control protocol.
- Ensured practical fixed-time stability for the closed-loop systems.
- Guaranteed boundedness of all system signals.
- Achieved convergence of follower agents to the leader agents' convex hull within a fixed-time.
Conclusions:
- The proposed control algorithm is effective for uncertain nonlinear multiagent systems.
- The controller successfully handles unmeasurable states and unknown nonlinear functions.
- Simulation results validate the efficacy of the developed control strategy.
Related Concept Videos
01:26Feedback control systems
303
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...
303
01:24BIBO stability of continuous and discrete -time systems
382
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.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
382
01:22Controller Configurations
93
Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...
93
01:10Control Systems
1.1K
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...
1.1K
01:31Classification of Systems-II
139
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,
139
01:22Multi-input and Multi-variable systems
105
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence...
In the absence...
105