通过设置时间调整,对相互连接的非线性系统进行和耐受有限时间规定的性能控制
IEEE transactions on cybernetics
|December 19, 2025
概括
本研究介绍了对具有输入和的非线性系统的有限时间规定的性能控制 (FTPPC) 方法. 这种新的方法解决了和和控制目标之间的冲突,确保了系统的稳定性和性能.
科学领域:
- 控制工程 控制工程 控制工程
- 非线性系统理论 非线性系统理论
- 系统和控制系统和控制
背景情况:
- 相互连接的非线性系统经常面临输入和的挑战,这可能会降低性能.
- 传统的有限时间规定的性能函数 (FTPPF) 可能与输入和发生冲突,导致不稳定.
- 解决输入和和性能约束之间的相互作用对于强大的控制至关重要.
研究的目的:
- 为受输入和的相互连接非线性系统提出一种新的有限时间规定的性能控制 (FTPPC) 方法.
- 开发耐和的FTPPF,有效地管理输入和错误和系统状态.
- 设计一个低复杂度的控制算法,保证系统的稳定性和性能.
主要方法:
- 引入非负的辅助信号来修改FTPPF的设置时间,创建耐和的FTPPF.
- 开发一个集成耐和FTPPF的控制算法,避免对未知的系统项进行估计.
- 在可行性条件下,对所有闭环信号的边界性进行严格的数学证明.
主要成果:
- 呈现了耐和的FTPPF,允许根据和误差和系统状态扩展/恢复约束边界.
- 拟议的控制方案有效地解决了输入和和规定的性能目标之间的冲突.
- 开发了一个低复杂度的控制算法,可以减少计算负担而不会影响性能.
结论:
- 开发的有限时间规定的性能控制方法成功地解决了相互连接的非线性系统中的输入和.
- 拟议的耐和FTPPF提高了控制的稳定性,并确保在有限的时间内实现趋同.
- 模拟结果验证了设计的控制方案的有效性和能力.
相关概念视频
01:07Time-Domain Interpretation of PD Control
348
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...
348
01:26Feedback control systems
657
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...
657
01:24Time and frequency -Domain Interpretation of Phase-lead Control
408
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...
408
01:27Time and frequency -Domain Interpretation of PI Control
381
Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
381
01:24Transient and Steady-state Response
497
In control systems, test signals are essential for evaluating performance under various conditions. The ramp function is effective for systems undergoing gradual changes, while the step function is suitable for assessing systems facing sudden disturbances. For systems subjected to shock inputs, the impulse function is the most appropriate test signal.
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state...
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state...
497
01:27State Space Representation
499
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
Consider an RLC circuit, a...
499