Title :
Solution to the positive real control problem for linear time-invariant systems
Author :
Sun, Weiqian ; Khargonekar, Pramod P. ; Shim, Duksun
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fDate :
10/1/1994 12:00:00 AM
Abstract :
In this paper we study the problem of synthesizing an internally stabilizing linear time-invariant controller for a linear time-invariant plant such that a given closed-loop transfer function is extended strictly positive real. Necessary and sufficient conditions for the existence of a controller are obtained. State-space formulas for the controller design are given in terms of solutions to algebraic Riccati equations (or inequalities). The order of the constructed controller does not exceed that of the plant
Keywords :
closed loop systems; control system synthesis; linear systems; optimal control; stability; state-space methods; H∞ control; algebraic Riccati equations; closed-loop transfer function; inequalities; internal stabilization; linear time-invariant systems; necessary conditions; positive real control; state-space; sufficient conditions; Books; Control system synthesis; Control systems; Control theory; Output feedback; Riccati equations; Robust control; Sufficient conditions; Sun; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
