A switching pseudo-predictor is designed for a class of systems with input delays to achieve accurate state prediction while avoiding the inclusion of input integral terms. It provides a basis and rationale for applying controller design methods of non-delayed systems, which can simplify the stability and dynamic performance analysis of closed-loop systems. The original system is divided into two subsystems, the open-loop one and the closed-loop one, bythe moment when the control quantity actually affects the system state, and a pseudo-predictor with switching structure is constructed to predict the system state accordingly.A stabilizing controller designed using the predicted state to design for the input delayed linear system and the asymptotic stability of the closed-loop system is demonstrated.
LIANG Jiahao
,
TANG Yujun
,
WANG Xia
. Switching pseudo-predictive stabilization controller for input delay systems[J]. Journal of Hebei University(Natural Science Edition), 2022
, 42(3)
: 314
-320
.
DOI: 10.3969/j.issn.1000-1565.2022.03.014
[1] YANG R N, ZHENG W X. Output-based event-triggered predictive control for networked control systems[J]. IEEE Trans Ind Electron, 2020, 67(12): 10631-10640. DOI:10.1109/TIE.2019.2958303.
[2] SUN J, CHEN J. Networked predictive control for linear systems with communication delay in the feedback channel[M] //Stability, Control and Application of Time-delay Systems. Amsterdam: Elsevier, 2019: 315-331. DOI:10.1016/b978-0-12-814928-7.00015-9.
[3] WANG W C, QIN T F, WANG Y. Encryption-free data transmission and hand-over in two-tier body area networks[J]. Comput Methods Programs Biomed, 2020, 192: 105411. DOI:10.1016/j.cmpb.2020.105411.
[4] VARMA V S, DE OLIVEIRA A M, POSTOYAN R, et al. Energy-efficient time-triggered communication policies for wireless networked control systems[J]. IEEE Trans Autom Control, 2020, 65(10): 4324-4331. DOI:10.1109/TAC.2019.2953816.
[5] ARTSTEIN Z. Linear systems with delayed controls: a reduction[J]. IEEE Trans Autom Control, 1982, 27(4): 869-879. DOI:10.1109/TAC.1982.1103023.
[6] LI X D, ZHANG X L, SONG S J. Effect of delayed impulses on input-to-state stability of nonlinear systems[J]. Automatica, 2017, 76: 378-382. DOI:10.1016/j.automatica.2016.08.009.
[7] LIU K Z, SUN X M, KRSTIC M. Distributed predictor-based stabilization of continuous interconnected systems with input delays[J]. Automatica, 2018, 91: 69-78. DOI:10.1016/j.automatica.2018.01.030.
[8] CACACE F, GERMANI A. Output feedback control of linear systems with input, state and output delays by chains of predictors[J]. Automatica, 2017, 85: 455-461. DOI:10.1016/j.automatica.2017.08.013.
[9] BEKIARIS-LIBERIS N, KRSTIC M. Lyapunov stability of linear predictor feedback for distributed input delays[J]. 49th IEEE Conf Decis Control CDC, 2010: 146-151. DOI:10.1109/CDC.2010.5716992.
[10] ZHOU B. Input delay compensation of linear systems with both state and input delays by nested prediction[J]. Automatica, 2014, 50(5): 1434-1443. DOI:10.1016/j.automatica.2014.03.010.
[11] 王连杰,朱远明,钟伟民.一种时滞系统的改进无模型自适应预测控制[J].控制工程, 2021, 28(2): 382-387. DOI:10.14107/j.cnki.kzgc.20180698.
[12] 司文杰,董训德.任意切换下高能随机系统的神经网络预设控制[J].控制与决策, 2020, 35(4): 923-929. DOI:10.13195/j.kzyjc.2018.0807.
[13] ZHOU B, CONG S. Stabilisation and consensus of linear systems with multiple input delays by truncated pseudo-predictor feedback[J]. Int J Syst Sci, 2016, 47(2): 328-342. DOI:10.1080/00207721.2015.1053833.
[14] ZHANG Z, ZHOU B, MICHIELS W. Pseudo predictor feedback stabilization of linear systems with both state and input delays[J]. 2019 IEEE 58th Conf Decis Control CDC, 2019: 49-53. DOI:10.1109/CDC40024.2019.9030058.
[15] LIU Q S, ZHOU B. Regulation of linear systems with both pointwise and distributed input delays by memoryless feedback[J]. J Frankl Inst, 2019, 356(10): 5172-5192. DOI:10.1016/j.jfranklin.2018.12.032. (
