一般化同步通过结构不相等的混沌系统之间的平面合来调解
Christophe Letellier1, Irene Sendiña-Nadal2,3, I Leyva2,3
1Rouen Normandie University-CORIA, Avenue de l'Université, F-76800 Saint-Etienne du Rouvray, France.
Chaos (Woodbury, N.Y.)
|September 13, 2023
概括
本研究探讨了一种新的平面控制定律,用于同步混乱系统. 这些发现证明了其在实现驱动和响应系统之间普遍同步的有效性.
科学领域:
- 非线性动力学是一种非线性动力学.
- 控制理论 控制理论
- 混沌理论 混沌理论
背景情况:
- 混乱系统同步通常使用等效系统之间的线性扩散合.
- 非线性控制理论提供了替代的合方法,例如平面控制.
- 平面控制涉及系统控制的最佳传感器和执行器放置.
研究的目的:
- 通过平面控制法来研究与驱动系统合的响应系统的动力学.
- 量化通过这种平面合实现的通用同步程度.
- 讨论平面控制规律对于通用同步的适用性.
主要方法:
- 使用来自非线性控制理论的平面控制定律.
- 通过这种平面控制机制将响应系统与驱动系统合起来.
- 使用统计和拓论证来分析系统动态和同步水平.
主要成果:
- 平面控制合器在驱动和响应系统之间产生特定的动力.
- 观察到一个可量化的一般化同步程度.
- 平面控制法在诱导同步方面被证明是有效的.
结论:
- 平面控制合是一种可行的方法,可以在混乱系统中实现通用同步.
- 传感器和执行器的位置对于有效的平面控制至关重要.
- 这种方法为控制混乱系统动态提供了新的视角.
相关概念视频
Classification of Systems-I
211
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
211
Forced Oscillations
6.6K
When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
6.6K
Cyclic Processes And Isolated Systems
2.8K
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each...
2.8K
Simplified Synchronous Machine Model
266
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
In this model, each generator is connected to a...
266
Categories of Equilibrium
2.5K
Equilibrium is a crucial concept in physics, enabling us to understand how forces interact with bodies to produce no or constant motion. In two-dimensional equilibrium, force systems can be classified into different categories based on their characteristics.
One of the categories of equilibrium is collinear equilibrium, which involves forces acting along a straight line. This type of equilibrium requires only one force equation in the direction of the forces, as the other equations are...
One of the categories of equilibrium is collinear equilibrium, which involves forces acting along a straight line. This type of equilibrium requires only one force equation in the direction of the forces, as the other equations are...
2.5K
BIBO stability of continuous and discrete -time systems
432
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....
432


