Variable structure control systems: synthesis of scalar and vector systems by state and output feedback

Variable structure control systems: synthesis of scalar and vector systems by state and output feedback
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DOI:
10.1007/s10598-010-9069-3
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发表时间:
2010-08
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通讯作者:
S. V. Emel'yanov
S. V. Emel'yanov
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文献类型:
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作者:
S. V. Emel'yanov

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现代观点用于检查在存在全相位矢量或仅输出矢量信息的情况下一般位置的 SISO 和 MIMO 系统的可变结构系统 (VSS) 的综合。在后一种情况下,我们分别考虑在工厂输出坐标和任意坐标中组织滑模的情况。后一种情况需要为参数或输入不确定的线性系统构造渐近观测器,并概述相应的观测理论。特别关注所谓的超输出系统的情况,即输出数量超过输入数量的多重连接系统。对于相当一般条件下的超输出系统,我们可以任意选择观察者动力学,这对于提高整个控制系统的性能非常重要。我们表明观察者动态不会改变 VSS 稳定性。
Modern views are applied to examine synthesis of variable structure systems (VSS) for SISO and MIMO systems of general position in the presence of information on the full phase vector or only on the output vector. In the latter case we consider separately the cases of organizing a sliding mode in plant output coordinates and in arbitrary coordinates. The latter case requires the construction of asymptotic observers for linear systems with uncertainty in the parameters or in inputs, and the corresponding observation theory is sketched. Special attention is given to the case of so-called hyperoutput systems, i.e., multiply connected systems in which the number of outputs exceeds the number of inputs. For hyperoutput systems under fairly general conditions we can arbitrarily choose the observer dynamics, which is important for improving the performance of the control system as a whole. We show that the observer dynamics does not change the VSS stability.