Decentralized control of descriptor systems

In this work, the decentralized stabilization and decentralized servomechan ism problem for descriptor systems is considered. A descriptor system is on e characterized by the existence of algebraic constraints on the plant stat e variables. Such constraints may translate into undesirable impulsive beha vior, a property not found in conventional, proper, state space systems. Co nditions are therefore investigated to determine if a system can be made "i mpulse-free" by suitable feedback action, and in this case the conditions a re expressed in terms of the so-called decentralized impulsive fixed modes of the system. The notions of transmission zeros and decentralized fixed mo des are defined for the class of descriptor systems and it is shown that th ey play a central role in determining the solvability of the decentralized robust servomechanism problem for descriptor systems. Two applications, tun ing regulator design and sequential synthesis, are also addressed in this w ork.