Title :
Computation of quadratic cost functionals for linear systems with multiple time delays
Author :
Hwang, Jyh-Haur ; Tsay, Sun-Yuan ; Hwang, Chyi
Author_Institution :
Dept. of Chem. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
fDate :
4/1/2000 12:00:00 AM
Abstract :
In this paper, we present a semianalytical method for evaluating quadratic cost functionals for linear time-invariant systems with multiple time delays. The main computational tasks involved in the method are the solution of a symbolic Diophantine equation by the Euclid algorithm and the factorization of a finite-degree polynomial. To illustrate the numerical implementation of the proposed method, an example is provided
Keywords :
delays; linear systems; polynomials; Euclid algorithm; LTI systems; finite-degree polynomial factorization; linear time-invariant systems; multiple time delays; quadratic cost functionals; semianalytical method; symbolic Diophantine equation; Chemical engineering; Computational efficiency; Cost function; Delay effects; Equations; Error correction; Feedback control; Linear systems; Polynomials; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
