TY - JOUR
T1 - Overcoming Performance Limitations of Linear Control with Hybrid Integrator-Gain Systems
AU - van Dinther, D.
AU - Sharif, B.
AU - van den Eijnden, S.J.A.M.
AU - Nijmeijer, H.
AU - Heertjes, M.F.
AU - Heemels, W.P.M.H.
N1 - Publisher Copyright:
Copyright © 2021 The Authors.
PY - 2021/7/1
Y1 - 2021/7/1
N2 - It is well-known that the performance of linear time-invariant (LTI) feedback control is hampered by fundamental limitations. In this paper, it is shown that by using a so-called hybrid integrator-gain system (HIGS) in the controller, important fundamental LTI performance limitations can be overcome. In particular, in this paper, we show this for two well-known limitations, where overshoot in the step-response of the system has to be present for any stabilizing LTI controller. For each case, it is shown that by using HIGS-based control, one can avoid overshoot in the step-response of the system. Key design considerations for HIGS-based controllers as well as the stability of the resulting closed-loop interconnections are discussed.
AB - It is well-known that the performance of linear time-invariant (LTI) feedback control is hampered by fundamental limitations. In this paper, it is shown that by using a so-called hybrid integrator-gain system (HIGS) in the controller, important fundamental LTI performance limitations can be overcome. In particular, in this paper, we show this for two well-known limitations, where overshoot in the step-response of the system has to be present for any stabilizing LTI controller. For each case, it is shown that by using HIGS-based control, one can avoid overshoot in the step-response of the system. Key design considerations for HIGS-based controllers as well as the stability of the resulting closed-loop interconnections are discussed.
KW - Fundamental performance limitations
KW - Hybrid integrator-gain systems
KW - Lti control
UR - http://www.scopus.com/inward/record.url?scp=85118995435&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2021.08.513
DO - 10.1016/j.ifacol.2021.08.513
M3 - Conference article
AN - SCOPUS:85118995435
SN - 2405-8963
VL - 54
SP - 289
EP - 294
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - 5
T2 - 7th IFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2021
Y2 - 7 July 2021 through 9 July 2021
ER -