TY - GEN
T1 - A control design methodology for SISO linear time-delay systems
AU - Zhang, Lei
AU - Chen, Qingwei
AU - Ramjug-Ballgobin, R.
AU - Ah King, R. T.F.
AU - Busawon, K.
N1 - Funding Information: This work was supported by the National Natural Science Foundation of China [grant numbers 61673214, 61673217, 61673219]; the Innovation Fund Project for Graduate Student of Jiangsu Province [grant number KYLX16 0450]; Jiangsu Key research and development plan (Modem Agriculture) [grant number BE2017370-2],
PY - 2020/11/25
Y1 - 2020/11/25
N2 - This paper illustrates a control technique for single-input linear systems with delay in the state. We first proceed by introducing a novel definition of stability called Ω-stability which translate the fact that a system is stable in the Krasovskii sense over a set Ω derived from the negative real side of the complex plane. In other words, all the eigenvalues of the system lies inside the set Ω with a given stability margin. Then, for the control design, the system's model is transformed into an extended Jordan controllable canonical form (JCCF). Based on the JCCF, we proposed a systematic construction of the controller gain such that the system under consideration becomes Ω-stable. The effectiveness of the controller is shown, via simulation, by using a typical academic example.
AB - This paper illustrates a control technique for single-input linear systems with delay in the state. We first proceed by introducing a novel definition of stability called Ω-stability which translate the fact that a system is stable in the Krasovskii sense over a set Ω derived from the negative real side of the complex plane. In other words, all the eigenvalues of the system lies inside the set Ω with a given stability margin. Then, for the control design, the system's model is transformed into an extended Jordan controllable canonical form (JCCF). Based on the JCCF, we proposed a systematic construction of the controller gain such that the system under consideration becomes Ω-stable. The effectiveness of the controller is shown, via simulation, by using a typical academic example.
KW - controller gain
KW - Jordan controllable canonical form (JCCF)
KW - Krasovskii stability
KW - Time delay systems
UR - https://www.scopus.com/pages/publications/85099600184
U2 - 10.1109/ELECOM49001.2020.9297003
DO - 10.1109/ELECOM49001.2020.9297003
M3 - Conference contribution
AN - SCOPUS:85099600184
T3 - 2020 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Proceedings
SP - 6
EP - 11
BT - 2020 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Proceedings
A2 - Pudaruth, Sameerchand
A2 - Mungur, Avinash
A2 - Ah King, Robert T. F.
A2 - Fowdur, Tulsi Pawan
A2 - Bojkovic, Zoran
A2 - Milovanovic, Dragorad
A2 - Hurbungs, Visham
PB - IEEE
T2 - 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020
Y2 - 25 November 2020 through 27 November 2020
ER -