Research On Passive Control And Robust Stability For Singular Systems

Singular system is a kind of dynamic system of more general form when compared with nonsingular systems. The theory of singular system has been developed sufficiently since 1970s, and become an independent branch of modern control theory. Recently, there has been a growing interesting in singular systems for their extensive applications in control theory, circuits, economics, mechanical systems and other areas. Many concepts and results in nonsingular systems have been extended to singular systems.The passivity is an important part of the dissipativeness, which takes the product of the input and the output as the supply rate of the energy, which embodies the attenuation property of a system under bounded exogenous input. In fact, the stability theory based on Lyapunov function can also be explained in view of the passivity. As a result, it can be said that the passivity is a further abstraction of the stability. To stabilize a system, one often needs to construct a Lyapunov function. According to the present literatures, this process can be converted into constructing a storage function that makes the system passive. Therefore, the passivity...