论文标题
基于离散时间观察的开关扩散系统的延迟反馈控制
Delay Feedback Control for Switching Diffusion Systems Based on Discrete Time Observations
论文作者
论文摘要
为了节省时间和成本，基于离散时间观察的反馈控制用于稳定开关扩散系统。大多数物理系统都需要响应滞后，并且在反馈控制中起关键作用。本文的目的是根据系统状态和马尔可夫状态的离散时间观察来设计延迟反馈控制功能，以使受控的开关扩散系统（SDS）在$ p $ th时刻和概率和概率上且稳定的$ h_ \ h_ \ iffty $稳定。设计的控制原理可实现，以稳定准线性和高度非线性SDS。对于准线性SDSS，标准是尖锐的，在高强度的控制下，受控的SDSS将是稳定的（有限的），而在较弱的控制下，它们将在卑鄙的正方形中不稳定（无限）。估计样本和力矩Lyapunov指数与时间延迟有密切的关系。
For the sake of saving time and costs the feedback control based on discrete-time observations is used to stabilize the switching diffusion systems. Response lags are required by most of physical systems and play a key role in the feedback control. The aim of this paper is to design delay feedback control functions based on the discrete-time observations of the system states and the Markovian states in order for the controlled switching diffusion system (SDS) to be exponentially stable in $p$th moment and probability one as well as stable in $H_\infty$. The designed control principles are implementable to stablize quasi-linear and highly nonlinear SDSs. For quasi-linear SDSs the criteria are sharp that under the control with high strength the controlled SDSs will be stable (bounded) while under the weaker control they will be unstable (unbounded) in mean square. The sample and moment Lyapunov exponents are estimated which have close relationship with the time delays.
