Title :
An algebraic criterion for robust stability of linear control systems
Author :
Dainson, Boris E. ; Lewin, D.R.
Author_Institution :
Dept. of Chem. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
2/1/1998 12:00:00 AM
Abstract :
A new robust stability test for linear control systems is described. The condition at which robust stability is violated is transformed into an equivalent problem in which the existence of a real root of a multivariable polynomial is investigated. This multivariable problem is reduced to that of the solvability of a set of univariable polynomial equations in real numbers, for which a number of efficient numerical methods are available. The use of the method is illustrated in the design of feedback control for an open-loop unstable batch chemical reactor
Keywords :
chemical industry; feedback; linear systems; polynomials; process control; robust control; transfer function matrices; algebraic criterion; batch chemical reactor; feedback; linear control systems; multivariable polynomial; robust control; solvability; stability; transfer matrix; Control systems; Equations; Frequency; Polynomials; Robust control; Robust stability; System testing; Transfer functions; Uncertainty; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
