In this article, the position control problem of electro-hydraulic servo systems with feedback signal transmission delay is studied. In order to improve the control accuracy of the system, a hybrid controller which combines a delay observer, a nonlinear disturbance observer and a backstepping controller is proposed. The controller has the characteristics of compensating the delay of signal transmission, restraining the uncertain disturbance of control systems and high control precision. In order to verify the stability and validity of the proposed hybrid controller, a single-degree-of-freedom electro-hydraulic shaking table is used to verify the experimental results. The experimental results show that the proposed controller has better control effects than proportional integral derivative and backstepping controller.
XuLDingFGuY, et al. A multi-innovation state and parameter estimation algorithm for a state space system with d-step state-delay. Signal Process2017; 140: 97–103.
2.
ZhengGBarbotJPBoutatD. Identification of the delay parameter for nonlinear time-delay systems with unknown inputs. Automatica2013; 49(6): 1755–1760.
3.
HeQLiuJ. An observer for a velocity-sensorless VTOL aircraft with time-varying measurement delay. Int J Syst Sci2016; 47: 652–661.
4.
CacaceFConteFGermaniA, et al. Joint state estimation and delay identification for nonlinear systems with delayed measurements. IEEE T Automat Contr2017; 62: 4848–4854.
5.
SinghSSivaramakrishnanJ. Sliding mode control design for parametric uncertain stochastic systems with state delay using functional observer. IET Control Theory A2019; 13(4): 562–571.
6.
TrinhHHuongDCNahavandiS. Observer design for positive fractional-order interconnected time-delay systems. T I Meas Control2019; 41(2): 378–391.
7.
ZhuQLuKZhuY. Observer-based feedback control of networked control systems with delays and packet dropouts. J Dyn Syst: T ASME2015; 138(2): 021011.
8.
SadathAKTVyasarayaniCP. Galerkin approximations for stability of delay differential equations with distributed delays. J Comput Nonlin Dyn2015; 10(6): 1532–1539.
9.
WangJWSunCY. Delay-dependent exponential stabilization for linear distributed parameter systems with time-varying delay. J Dyn Syst: T ASME2017; 140(5): 051003.
10.
WangTQiuJGaoH. Adaptive neural control of stochastic nonlinear time-delay systems with multiple constraints. IEEE T Syst Man Cy: S2017; 47(8): 1875–1883.
11.
TsaiCCTaiFCChangYL, et al. Adaptive predictive PID control using fuzzy wavelet neural networks for nonlinear discrete-time time-delay systems. Int J Fuzzy Syst2017; 19(6): 1718–1730.
12.
SaravananSAliMS. Improved results on finite-time stability analysis of neural networks with time-varying delays. J Dyn Syst: T ASME2018; 140(10): 101003.
13.
WenGChenCLPLiuYJ, et al. Neural network-based adaptive leader-following consensus control for a class of nonlinear multiagent state-delay systems. IEEE T Cybernetics2017; 47(8): 2151–2160.
14.
KuCCChenGW. Delay-dependent robust control for discrete-time uncertain stochastic systems with time-varying delays. J Dyn Syst: T ASME2017; 139(10): 101004.
15.
SakthivelRArunkumarAMathiyalaganK, et al. Robust state feedback H∞ control for discrete-time fuzzy system with random delays. J Dyn Syst: T ASME2017; 139(8): 081017.
16.
AfshariMMobayenSHajmohammadiR, et al. Global sliding mode control via linear matrix inequality approach for uncertain chaotic systems with input nonlinearities and multiple delays. J Comput Nonlin Dyn2018; 13(3): 031008.
17.
LiYTongSLiT. Hybrid fuzzy adaptive output feedback control design for uncertain MIMO nonlinear systems with time-varying delays and input saturation. IEEE T Fuzzy Syst2016; 24(4): 841–853.
18.
ZhengYGHuangJWSunYH, et al. Building vibration control by active mass damper with delayed acceleration feedback: multi-objective optimal design and experimental validation. J Vib Acoust2018; 140(4): 041002.
19.
MitraRKBanikAKChatterjeeS. Response of a harmonically forced dry friction damped system under time-delayed state feedback. J Comput Nonlin Dyn2017; 13(3): 031001.
20.
GaoXWGaoQQiWH, et al. Disturbance-observer-based control for time-delay Markovian jump systems subject to actuator saturation. T I Meas Control2019; 41(3): 605–614.
21.
FridmanEDambrineMYeganefarN. On input-to-state stability of systems with time-delay: a matrix inequalities approach. Automatica2008; 44(9): 2364–2369.
22.
GuKKharitonovVLChenJ. Stability of time-delay systems. Boston: Birkhuser, 2003.
23.
ZhaojingWUXiaYXieX. Stochastic Barbalat’s lemma and its applications. IEEE Trans Autom Control2012; 57(6): 1537–1543.
