Quadratic Optimal Control through Spectral and Coprime Factorisation
نویسنده
چکیده
We study the innnite horizon quadratic cost minimization problem for a linear time-invariant distributed parameter system with nitely may inputs and outputs. We work in an input/output framework, and reduce the unstable case to the stable case by the use of a right coprime factorization of the impulse response and a preliminary stabilizing feedback. The stable case is then solved through spectral factorization. The theory is illustrated with two examples involving pure time delays.
منابع مشابه
Quadratic Optimal Control through Coprime and Spectral Factorizations
We consider the innnite horizon quadratic cost minimization problem for a linear time-invariant distributed parameter system with nitely may inputs and outputs. Our approach is to work in an input/output framework, and to reduce the problem to a symmetric Wiener-Hopf problem, that can be solved by means of a canonical factorization of the symbol. We have earlier solved the case where the system...
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عنوان ژورنال:
- Eur. J. Control
دوره 5 شماره
صفحات -
تاریخ انتشار 1999