Open AccessLinear-quadratic optimal control of descriptor systems
Author(s) -
Peter C. Müller
Publication year - 1999
Publication title -
revista brasileira de ciências mecânicas
Language(s) - English
Resource type - Journals
ISSN - 0100-7386
DOI - 10.1590/s0100-73861999000300005
Subject(s) - mechatronics , quadratic equation , control theory (sociology) , control (management) , linear quadratic gaussian control , computer science , optimal control , mechanical system , linear system , linear control systems , control system , dynamical systems theory , mathematics , control engineering , mathematical optimization , artificial intelligence , engineering , mathematical analysis , physics , geometry , electrical engineering , quantum mechanics
In recent years the analysis and synthesis of (mechanical) control systems in descriptor form has been established. This general description of dynamical systems is important for many applications in mechanics and mechatronics, in electrical and electronic engineering, and in chemical engineering as well. This contribution deals with linear mechanical descriptor systems and its control design with respect to a quadratic performance criterion. Here, the notion of properness plays an important role whether the standard Riccati approach can be applied as usual or not. Properness and non-properness distinguish between the cases if the descriptor system is exclusively governed by the control input or by its higher-order time-derivatives additionally. In the unusual case of non-proper systems a quite different problem of optimal control design has to be considered. Both cases will be solved completely