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首页> 外文期刊>International journal of systems science >Fractional order predictive sliding-mode control for a class of nonlinear input-delay systems: singular and non-singular approach
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Fractional order predictive sliding-mode control for a class of nonlinear input-delay systems: singular and non-singular approach

机译:一类非线性输入延迟系统的分数级预测滑模控制:单数和非单数方法

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摘要

Nonlinear models of physical systems usually suffer from input delay and external disturbances. Moreover, when a delayed state is in the input signal gain, it can be non-singular or singular. So, designing a robust controller in a nonlinear system with input and state delay, suitable for non-singular and singular input signal gain, is imperative. The main contribution of our study is to design a new state feedback fractional order predictive sliding mode control (FOPSMC) procedure which not only guarantees the stability of a nonlinear system with known constant input and state delay but also controls the output signal to the desired value. Firstly, a predictor is designed for the system to achieve an input-delay-free one. Then, a state feedback FOPSMC is proposed based on a fractional order sliding signal for a nonlinear system with non-singular control gain. Also, a state feedback FOPSMC and a fractional order sliding mode observer (FOSMO) for the virtual disturbance are designed for singular control gain situation. It is proved analytically, through the Lyapunov stability criteria, that both control procedures can stabilise the system and can control the output signal to the desired value, effectively. Finally, the simulation results verify the effectiveness of the analytical achievements.
机译:物理系统的非线性模型通常遭受输入延迟和外部干扰。此外,当延迟状态在输入信号增益中时,它可以是非奇异的或奇异的。因此,在具有输入和状态延迟的非线性系统中设计鲁棒控制器,适用于非单数和奇异输入信号增益,是必要的。我们的研究的主要贡献是设计一种新的状态反馈分数级预测滑动模式控制(截止量),其不仅保证了具有已知恒定输入和状态延迟的非线性系统的稳定性,而且还将输出信号控制到所需值。 。首先,设计预测器用于该系统以实现无延迟的一个。然后,基于具有非奇异控制增益的非线性系统的分数级滑动信号,提出了一种状态反馈截止量。此外,对于奇异控制增益情况,设计了一种用于虚拟干扰的状态反馈截止量和虚拟干扰的分数级滑动模式观察者(FOSMO)。通过Lyapunov稳定标准分析证明,控制程序均可稳定系统并可有效地控制输出信号到所需值。最后,仿真结果验证了分析成果的有效性。

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