广义Delta算子系统的输出反馈控制
发布时间：2019-06-12 01:28
【摘要】：广义系统是相对于传统正常系统而言的。在结构上,二者区别在于广义系统中的矩阵E是奇异矩阵,因此对广义系统的研究更复杂且更具有挑战性;在实际系统中,广义系统的存在更为普遍,在众多实际领域中都有其模型。Delta算子是一种新的描述离散系统的方法,它不仅可以弥补传统移位算子描述的系统因z变换引起的缺陷,而且还具有自身的一些优势,如它可以建立离散系统理论与连续系统理论之间的桥梁等。H_∞控制属于鲁棒控制中一种极为重要的方法,在系统的优化设计中十分方便。本课题针对广义Delta算子系统,主要探讨了系统的输出反馈容许控制以及输出反馈H_∞控制问题。采用矩阵不等式的形式给出满足性能的充分必要条件,并基于不等式的解设计相应的静态和动态控制器。最后通过数值算例对本课题的理论结果进行验证。结果表明,按照本课题方法所设计的静态和动态输出反馈控制器均能保证所得的闭环系统是容许的或者具有H_∞性能指标g,因此所设计的控制器是有效且可行的。该研究对工程实际中的状态反馈无法实现的情况具有理论上的参考价值。
[Abstract]:Singular systems are compared with traditional normal systems. Structurally, the difference between the two is that the matrix E in the singular system is a singular matrix, so the research on the singular system is more complex and challenging. In real systems, the existence of singular systems is more common, and there are models in many practical fields. Delta operator is a new method to describe discrete systems, which can not only make up for the defects caused by z transformation of systems described by traditional shift operators, but also has some advantages of its own. For example, it can establish the bridge between discrete system theory and continuous system theory. H _ 鈭，
本文编号：2497613
[Abstract]:Singular systems are compared with traditional normal systems. Structurally, the difference between the two is that the matrix E in the singular system is a singular matrix, so the research on the singular system is more complex and challenging. In real systems, the existence of singular systems is more common, and there are models in many practical fields. Delta operator is a new method to describe discrete systems, which can not only make up for the defects caused by z transformation of systems described by traditional shift operators, but also has some advantages of its own. For example, it can establish the bridge between discrete system theory and continuous system theory. H _ 鈭，
本文编号：2497613
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