相关实验视频
Updated: Jun 30, 2025
19:44
A Tactile Automated Passive-Finger Stimulator TAPS
Published on: June 3, 2009
13.7K
积极冲动模糊系统的新稳定性标准通过应用多项式冲动时间依赖方法
IEEE transactions on cybernetics
|March 18, 2024
概括
这项研究引入了一种新的多项式脉冲依赖的共立的利亚普诺夫函数,用于分析正冲动的塔卡吉-苏杰诺模糊系统. 这种方法通过结合更多的脉冲间隔信息来增强稳定性分析和L1-gain性能.
科学领域:
- 控制系统工程 控制系统工程
- 模糊逻辑系统 模糊逻辑系统
- 非线性动态系统非线性动态系统
背景情况:
- 冲动的Takagi-Sugeno (T-S) 模糊系统在控制应用中被广泛使用.
- 现有的基于Lyapunov的稳定性分析方法通常会产生保守的结果,因为在处理时间变化的冲动间隔方面存在限制.
- 对于分析这些系统的指数稳定性和L1增益,需要更少的保守方法.
研究的目的:
- 开发一种用于分析正冲动TS模糊系统的指数稳定性和L1增益的新方法.
- 引入一类新的依赖脉冲间隔的利亚普诺夫函数.
- 为稳定性分析推导出不那么保守的条件.
主要方法:
- 使用多项式冲动时间函数,构建一个新的多项式冲动依赖 (ID) 协积的利亚普诺夫函数 (CLF).
- 应用二项系数来导出新的有限线性编程条件.
- 利用来自多项式ID CLF的增强信息进行改进的分析.
主要成果:
- 拟议的多项式ID CLF捕获了更多的冲动间隔信息,从而导致不那么保守的结果.
- 为稳定性和L1-增益分析得出了新的有限线性编程条件.
- 通过三个例子证明了多项式度对分析结果的影响.
结论:
- 开发的多项式ID CLF方法为分析正冲动TS模糊系统提供了不那么保守和更有效的方法.
- 新的有限线性编程条件为控制系统设计提供了实用的工具.
- 这项研究强调了脉冲间隔信息在稳定性分析中的重要性.
相关概念视频
01:24Pole and System Stability
291
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
291
01:24BIBO stability of continuous and discrete -time systems
393
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
393
01:19Routh-Hurwitz Criterion II
243
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
243
01:28Stability
122
The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
122
01:15Routh-Hurwitz Criterion I
239
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
239
01:13Stability of Equilibrium Configuration: Problem Solving
606
The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
Problem-solving in the context of the stability of equilibrium configuration...
606