Neuroadaptive fault-tolerant tracking control of fractional-order nonaffine nonlinear systems with output constraints and input nonlinearity
View abstract on PubMed
Summary
This summary is machine-generated.This study introduces a fault-tolerant adaptive tracking control for fractional-order nonlinear systems (FONSs). The method addresses prescribed-time interval output constraints (PTIOCs) and actuator faults, ensuring system stability and performance.
Area Of Science
- Control Systems Engineering
- Nonlinear Dynamics
- Fractional Calculus
Background
- Fractional-order nonlinear systems (FONSs) present complex dynamics.
- Actuator faults and output constraints challenge control system reliability.
- Prescribed-time interval output constraints (PTIOCs) introduce specific timing requirements for system operation.
Purpose Of The Study
- To investigate fault-tolerant adaptive tracking control for nonaffine FONSs.
- To address systems with PTIOCs, nonlinear input, and actuator faults.
- To develop a control strategy that accommodates constraints and faults without controller redesign.
Main Methods
- Utilized an improved dependent-constrained-error function and a prescribed-time scaling function.
- Employed a barrier function to transform the PTIOCs issue into boundedness verification.
- Developed an adaptive fault-tolerant control algorithm.
Main Results
- Successfully mitigated the effects of actuator faults in FONSs.
- Accommodated multiple constraints and nonlinear inputs effectively.
- Demonstrated the validity of the proposed control scheme through simulations.
Conclusions
- The proposed adaptive fault-tolerant control scheme is effective for nonaffine FONSs with PTIOCs and actuator faults.
- The method ensures system stability and tracking performance under challenging conditions.
- The approach offers a robust solution for systems requiring precise timing and fault tolerance.
Related Concept Videos
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 systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
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...
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...
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...

