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Analysis and synthesis of state models involving jump discontinuities in hybrid functions (HF) domain

机译:混合函数(HF)域中涉及跳跃间断的状态模型的分析和综合

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Jump discontinuities in control systems pose difficulties in mathematical modeling. This paper uses a set of orthogonal hybrid functions (HF) for analysing and identifying control systems with jump discontinuities. But with traditional hybrid function theory, the results obtained are not quite satisfactory. To obtain a more accurate as well as reliable result, a modified version of the hybrid function set is attempted to design a new theory. With this new theory, jump functions are approximated in a better manner and subsequently these principles are applied for the analysis and synthesis of control systems described by their state models. Relevant examples are treated and results are found to be far more acceptable than those obtained using traditional hybrid functions.
机译:控制系统中的跳跃不连续性给数学建模带来了困难。本文使用一组正交混合函数(HF)来分析和识别具有跳跃间断的控制系统。但是使用传统的混合函数理论,所得结果并不令人满意。为了获得更准确且可靠的结果,尝试对混合函数集进行修改,以设计新的理论。利用这一新理论,可以更好地近似跳跃函数,然后将这些原理应用于状态模型所描述的控制系统的分析和综合。处理了相关示例,发现结果比使用传统混合函数获得的结果更可接受。

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