Title :
Digital Redesign of Linear Time-Invariant Systems: Integral Quadratic Constraint Approach
Author :
Kim, Do Wan ; Park, Jin Bae ; Joo, Young Hoon
Author_Institution :
Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul
Abstract :
In this paper, a new digital redesign (DR) technique with an integral quadratic constraint (IQC) is presented. The DR problem can be interpreted as finding a relevant digital gain to minimize the IQC, which describes the energy of error response between the continuous-time and the sampled-data closed-loop systems for all time. It can be shown that the IQC for all time is reduced to two conditions, where one is a state-matching condition at the sampling points and the other is the IQC for the sampling period. These constructive conditions are formulated in terms of the linear matrix inequalities (LMls). A numerical example is provided for visualizing the feasibility of the proposed technique
Keywords :
closed loop systems; continuous time systems; control system synthesis; linear matrix inequalities; linear systems; quadratic programming; sampled data systems; state-space methods; LMI; continuous-time system; digital redesign technique; integral quadratic constraint approach; linear matrix inequality; linear time-invariant system; sampled-data closed-loop system; state-matching condition; Control systems; Digital control; Error correction; Linear matrix inequalities; Power engineering and energy; Sampling methods; Stability; Visualization; Digital redesign (DR); integral quadratic constraint (IQC); linear matrix inequalities (LMIs); stability;
Conference_Titel :
SICE-ICASE, 2006. International Joint Conference
Conference_Location :
Busan
Print_ISBN :
89-950038-4-7
Electronic_ISBN :
89-950038-5-5
DOI :
10.1109/SICE.2006.315405
