分数阶广义自支撑原理(FOG PSS)在控制系统设计中的应用
Fractional-order Generalized Principle of Self-Support (FOG PSS) in Control Systems Design
AI总结:
本文提出分数阶广义自支撑框架,解决机器人系统、多智能体等不确定非线性系统的实际跟踪问题。
摘要:
本文回顾了研究自支撑原理(PSS)在某些控制系统中的研究,并首次提出分数阶广义PSS框架。现有的PSS方法专注于整数阶系统的实际跟踪问题,包括机器人动力学、高精度线性电机系统、多轴高精度定位系统中的不可测量变量、不精确传感器信息、不确定参数和外部干扰。更一般地,通过将分数阶PSS概念作为新的广义框架来制定,我们将聚焦于分数阶控制问题,如机器人系统、多移动代理、离散动力系统、时滞系统等不确定非线性系统中的实际跟踪、$λ$-跟踪等。最后,将一台一阶不确定模型汽车的实际跟踪作为简单示例,以展示分数阶广义自支撑原理(FOGPSS)控制策略的有效性。
英文摘要:
This paper reviews research that studies the principle of self-support (PSS) in some control systems and proposes a fractional-order generalized PSS framework for the first time. The existing PSS approach focuses on practical tracking problem of integer-order systems including robotic dynamics, high precision linear motor system, multi-axis high precision positioning system with unmeasurable variables, imprecise sensor information, uncertain parameters and external disturbances. More generally, by formulating the fractional PSS concept as a new generalized framework, we will focus in the possible fields on the fractional-order control problems such as practical tracking, $λ$-tracking, etc. of robot systems, multiple mobile agents, discrete dynamical systems, time delay systems and other uncertain nonlinear systems. Finally, the practical tracking of a first-order uncertain model of automobile is considered as a simple example to demonstrate the efficiency of the fractional-order generalized principle of self-support (FOGPSS) control strategy.
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