Title :
Methods of solving a polynomial equation for an H∞ optimal control problem for a single-input single-output discrete-time system
Author_Institution :
Inst. of Inf. Sci. & Electron., Tsukuba Univ., Ibaraki, Japan
fDate :
2/1/1989 12:00:00 AM
Abstract :
A polynomial equation for the H∞ optimal control problem is reduced to a nonlinear algebraic equation. Two methods are proposed for solving the algebraic equation. One method uses the singularity of a linear algebraic equation as the optimality index. The other gives an approximate solution by solving an eigenvalue problem. A numerical example is presented
Keywords :
discrete time systems; eigenvalues and eigenfunctions; optimal control; polynomials; H∞ optimal control; SISO systems; discrete-time system; eigenvalue problem; linear algebraic equation; nonlinear algebraic equation; optimality index; polynomial equation; single-input single-output systems; singularity; Control systems; Cost function; Eigenvalues and eigenfunctions; Feedback; H infinity control; Hydrogen; Nonlinear equations; Optimal control; Polynomials; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
