Related Experiment Video
Updated: Jun 7, 2026
08:18
WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
Published on: August 15, 2020
Flexible Prescribed-Time Optimal Control With Adaptive State-Input Constraint Bounds via Actor-Critic Learning
Summary
This study introduces a novel framework for optimal tracking in nonlinear systems, ensuring prescribed-time (PT) convergence despite state and input constraints. The method enhances safety and operational flexibility by adaptively managing constraint boundaries.
Area of Science:
- Control Systems Engineering
- Nonlinear System Analysis
- Optimal Control Theory
Background:
- Traditional control systems often struggle with simultaneous state and input constraints.
- Achieving optimal tracking within a prescribed time (PT) under constraints is a significant challenge.
- Existing methods can be conservative, limiting operational regions and safety margins.
Purpose of the Study:
- To develop a flexible prescribed-time (PT) optimal tracking framework for nonlinear systems.
- To address concurrent state and input constraints effectively.
- To guarantee user-assigned convergence accuracy and time, independent of initial conditions.
Main Methods:
- A time-varying auxiliary function for PT error transformation.
- A state-triggered adaptation law for online adjustment of state/input performance envelopes.
- An actor-critic adaptive dynamic programming (ADP) scheme to solve the Hamilton-Jacobi-Bellman (HJB) equation.
Main Results:
- Demonstrated a flexible constraint-handling mechanism that reduces conservatism and enlarges feasible operation regions.
- Achieved uniform ultimate boundedness of all closed-loop signals.
- Proved prescribed-time (PT) convergence of the tracking error with user-assigned accuracy and time.
Conclusions:
- The proposed PT optimal tracking framework offers superior transient tracking and reliable convergence performance.
- The adaptive constraint-handling mechanism preserves safety margins while enhancing operational flexibility.
- Validated through simulations on nonlinear systems and fault-tolerance scenarios, outperforming baseline methods.
Related Concept Videos
01:07Time-Domain Interpretation of PD Control
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...
01:10Control Systems
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...
01:22Controller Configurations
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 aligns...
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller aligns...
01:24PI Controller: Design
Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
01:26Feedback control systems
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...
01:28Load-frequency control
Load-frequency control (LFC) is vital for maintaining power system stability, ensuring that frequency and power flows remain within acceptable limits during load changes. Turbine-governor control eliminates rotor accelerations and decelerations following load changes. However, a steady-state frequency error persists when the change in the turbine-governor reference setting is zero. In an interconnected power system, each area agrees to export or import a scheduled amount of power through...