Distributed fixed-time formation tracking control for multiple underactuated USVs with lumped uncertainties and input saturation
View abstract on PubMed
Summary
This summary is machine-generated.This study presents a fixed-time distributed formation control strategy for underactuated unmanned surface vehicles (USVs) with unmeasured velocities and input saturation, ensuring stable formation control.
Area Of Science
- Robotics
- Control Systems Engineering
- Marine Engineering
Background
- Underactuated unmanned surface vehicles (USVs) present challenges in formation control due to unmeasured velocities and input saturation.
- Existing control strategies often struggle to achieve precise and stable formations under these constraints.
Purpose Of The Study
- To develop a fixed-time distributed formation control strategy for multiple underactuated USVs.
- To address issues of unmeasured velocities and input saturation in USV formation control.
Main Methods
- Applied coordinate transformation to handle underactuation.
- Constructed a fixed-time extended state observer (FESO) for estimating unmeasured states and disturbances.
- Utilized a fixed-time differentiator for virtual control laws.
- Designed a fixed-time distributed formation controller with an auxiliary system to mitigate input saturation effects.
Main Results
- Successfully estimated unmeasured velocities and lumped disturbances using FESO.
- Achieved preset formation using a leader-follower approach.
- Eliminated the impact of input saturation through an auxiliary system.
- Demonstrated fixed-time stability of the closed-loop system via Lyapunov theory.
Conclusions
- The proposed fixed-time distributed formation control strategy is effective for underactuated USVs.
- The method overcomes limitations of unmeasured velocities and input saturation.
- Simulation results confirm the superiority of the developed control scheme.
Related Concept Videos
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 mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
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...
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...
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...
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...

