A new online delay estimation-based robust adaptive stabilizer for multi-input neutral systems with unknown actuator
1Department of Computer and Control Engineering, Faculty of Engineering, Tanta University, Tanta, Egypt; Department of Computer Science, Faculty of computer Science and Information Technology, Albaha University, Albaha, Saudi Arabia.
ISA Transactions
|July 24, 2017
Summary
This study presents a novel method for compensating actuator nonlinearities in uncertain neutral systems. The approach ensures system stability despite unknown delays and disturbances, improving control performance.
Area of Science:
- Control Systems Engineering
- Nonlinear Systems Analysis
- Adaptive Control Theory
Background:
- Neutral systems are susceptible to actuator nonlinearities like dead-zone and saturation.
- Unknown time-varying delays, unmodeled dynamics, and external disturbances complicate control design.
Purpose of the Study:
- To develop a new methodology for compensating actuator nonlinearities in multi-input uncertain neutral systems.
- To address challenges posed by unknown delays, unmodeled dynamics, nonlinear perturbations, and disturbances.
Main Methods:
- A novel approach based on online delay estimation is proposed.
- Adaptive laws are employed to guarantee exponential stability of estimated delays.
- The methodology compensates for series-acting dead-zone and saturation nonlinearities.
Main Results:
- Asymptotic stability of the closed-loop system is ensured despite various uncertainties.
- State responses are shown to converge to the origin.
- The proposed approach effectively handles state time delay and derivative state time delay.
Conclusions:
- The developed method offers effective compensation for actuator nonlinearities in complex neutral systems.
- The approach demonstrates robustness against unknown delays, unmodeled dynamics, and disturbances.
- A numerical example validates the practicability and efficacy of the proposed control strategy.
Related Concept Videos
01:21Linear Approximation in Time Domain
384
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,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
384
01:07Time-Domain Interpretation of PD Control
421
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...
Consider the example of control of motor torque. Initially, a positive...
421
01:21Control System Problem
459
In an open-loop system, such as a basic thermostat, the poles of the transfer function influence the system's response but do not determine its stability. However, when feedback is introduced to form a closed-loop system, such as an advanced thermostat that adjusts heating based on room temperature, stability is governed by the new poles of the closed-loop transfer function.
When forming a closed-loop system, issues can arise if the poles cross into the unstable region, leading to potential...
When forming a closed-loop system, issues can arise if the poles cross into the unstable region, leading to potential...
459
01:18Second Order systems II
434
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.
434
01:25Multimachine Stability
589
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
589
01:26PD Controller: Design
683
In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
683