对于受时间变化的输入延迟约束的非线性非对称制约系统的固定时间神经适应控制
IEEE transactions on cybernetics
|July 31, 2025
概括
本研究为具有时间变化的输入延迟和约束的系统引入了新的固定时间 (FxT) 适应控制. 新方法确保了实用的固定时间稳定性,而不违反系统约束.
科学领域:
- 控制系统工程 控制系统工程
- 非线性系统理论 非线性系统理论
- 适应性控制控制是适应性的
背景情况:
- 解决非线性系统 (NS) 中的固定时间 (FxT) 控制挑战,具有时间变化的输入延迟 (TVID) 和错误/状态约束.
- 现有的FxT控制方法可能是保守的或需要严格的可行性条件.
研究的目的:
- 为非线性系统制定一种新的固定时间自适应跟踪控制策略,这些系统受 TVID 和错误/状态约束.
- 提高稳定性分析的准确性,并消除受约束系统的可行性条件.
主要方法:
- 引入两个新的FxT稳定性定理,用于对结算时间 (ST) 的不那么保守的上限估计 (UBEs).
- 用非线性转换函数 (NTF) 将不对称的受约束系统重建为不受约束的系统.
- 开发一种新的FxT自适应跟踪控制策略 (FxTAS-nps) 来处理未知的输入延迟.
- 使用FxT稳定性标准和Lyapunov-Krasovskii功能方法进行稳定性证明.
主要成果:
- 拟议的FxTAS-nps可确保控制系统的实际固定时间稳定性 (PFxTS).
- 错误和状态约束在整个操作过程中都得到满足.
- 控制算法有效地处理未知的时间变化的输入延迟.
- 该方法在没有框架修改的情况下,均地解决受约束和不受约束的系统.
结论:
- 这项研究成功地为复杂的非线性系统提供了一个强大的固定时间自适应控制解决方案.
- 开发的方法提供了改进的稳定性分析和约束处理能力.
- 模拟结果验证了拟议的控制策略的有效性和适用性.
相关概念视频
Feedback control systems
429
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...
429
Linear time-invariant Systems
428
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...
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...
428
Time-Domain Interpretation of PD Control
180
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...
180
Linear Approximation in Time Domain
125
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,...
125
Classification of Systems-II
242
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,
242
Time and frequency -Domain Interpretation of Phase-lead Control
139
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
139


