【摘要】：廣義系統(tǒng)是相對(duì)于傳統(tǒng)正常系統(tǒng)而言的。在結(jié)構(gòu)上,二者區(qū)別在于廣義系統(tǒng)中的矩陣E是奇異矩陣,因此對(duì)廣義系統(tǒng)的研究更復(fù)雜且更具有挑戰(zhàn)性;在實(shí)際系統(tǒng)中,廣義系統(tǒng)的存在更為普遍,在眾多實(shí)際領(lǐng)域中都有其模型。Delta算子是一種新的描述離散系統(tǒng)的方法,它不僅可以彌補(bǔ)傳統(tǒng)移位算子描述的系統(tǒng)因z變換引起的缺陷,而且還具有自身的一些優(yōu)勢(shì),如它可以建立離散系統(tǒng)理論與連續(xù)系統(tǒng)理論之間的橋梁等。H_∞控制屬于魯棒控制中一種極為重要的方法,在系統(tǒng)的優(yōu)化設(shè)計(jì)中十分方便。本課題針對(duì)廣義Delta算子系統(tǒng),主要探討了系統(tǒng)的輸出反饋容許控制以及輸出反饋H_∞控制問題。采用矩陣不等式的形式給出滿足性能的充分必要條件,并基于不等式的解設(shè)計(jì)相應(yīng)的靜態(tài)和動(dòng)態(tài)控制器。最后通過數(shù)值算例對(duì)本課題的理論結(jié)果進(jìn)行驗(yàn)證。結(jié)果表明,按照本課題方法所設(shè)計(jì)的靜態(tài)和動(dòng)態(tài)輸出反饋控制器均能保證所得的閉環(huán)系統(tǒng)是容許的或者具有H_∞性能指標(biāo)g,因此所設(shè)計(jì)的控制器是有效且可行的。該研究對(duì)工程實(shí)際中的狀態(tài)反饋無法實(shí)現(xiàn)的情況具有理論上的參考價(jià)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，

本文編號(hào)：2497613