Low-Order Stabilization of LTI Systems With Time Delay

• Published in: IEEE transactions on automatic control Vol. 54; no. 4; pp. 774 - 787
• Main Authors: OU, Lin-Lin, ZHANG, Wei-Dong, LI YU
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.04.2009; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Applied sciences; Automation; Computer science; control theory; systems; Control system analysis; Control systems; Control theory. Systems; Degradation; Delay effects; Exact sciences and technology; Linear time-invariant (LTI) system; low-order controller; Mathematical analysis; Open loop systems; Output feedback; Parametrization; Pi control; Polyimide resins; Process control; Proportional control; Proportional integral derivative; Roots; Stabilization; Studies; System theory; Three-term control; Time delay; Linear time-invariant (LTI) system; Integral proportional control; Necessary and sufficient condition; Stabilization; Delay system; time delay; Quasi polynomial; low-order controller; Parameterization; Complex number; Characteristic function; Linear time invariant system; SISO system; Reduced order systems; Delay time; Differential integral proportional control

This paper considers the problem of stabilizing a single-input-single-output (SISO) linear time-invariant (LTI) plant with known time delay using a low-order controller, such as a Proportional (P), a Proportional-Integral (PI), or a proportional-integral-derivative (PID) controller. For the SISO LTI...