For intermittent transonic wind tunnel (ITWT), Mach number and total pressure are crucial features of the flow field in the test section. However, they are typically difficult to control due to system nonlinearities, uncertainties, coupling and delays. This paper proposes an output feedback model predictive control (MPC) strategy to ensure the tracking of Mach number and total pressure of the ITWT to a specified reference trajectory. The proposed approach includes open-loop prediction, steady state target calculation (SSTC) and dynamic control, where the lower layer dynamic control tracks the steady state target obtained from the upper SSTC layer. By adding an artificial disturbance in the identified linear parameter varying (LPV) model for ITWT, and utilizing the resulting LPV model in both SSTC and dynamic control layers, a heuristic open-loop output feedback MPC approach is proposed. The experimental results for the control of Mach number and total pressure for ITWT demonstrate the effectiveness of the proposed approach.
BamiehBGiarréL (2002) Identification of linear parameter varying models. International Journal of Robust and Nonlinear Control12(9): 841–853.
2.
BesselmannTLofbergJMorariM (2012) Explicit MPC for LPV systems: Stability and optimality. IEEE Transactions on Automatic Control57(9): 2322–2332.
3.
BianSHensonMBelangerP, et al. (2005) Nonlinear state estimation and model predictive control of nitrogen purification columns. Industrial & Engineering Chemistry Research44(1): 153–167.
4.
BumroongsriPKheawhomS (2012) An ellipsoidal off-line model predictive control strategy for linear parameter varying systems with applications in chemical processes. Systems & Control Letters61(3): 435–442.
5.
CalafioreGCFagianoL (2013) Stochastic model predictive control of LPV systems via scenario optimization. Automatica49(6): 1861–1866.
6.
CasavolaAFamularoDFranzèG (2002) A feedback min-max MPC algorithm for LPV systems subject to bounded rates of change of parameters. IEEE Transactions on Automatic Control47(7): 1147–1153.
7.
DingBPanH (2014) Output feedback robust MPC with one free control move for the linear polytopic uncertain system with bounded disturbance. Automatica50(11): 2929–2935.
8.
DingBZouT (2014) A synthesis approach for output feedback robust model predictive control based-on input-output model. Journal of Process Control24(3): 60–72.
9.
DingBWangP J H (2018) Dynamic output feedback robust MPC with one free control move for LPV model with bounded disturbance. Asian Journal of Control20(4): 1–13.
10.
FuYChaiT (2009) Intelligent decoupling control of nonlinear multivariable systems and its application to a wind tunnel system. IEEE Transactions on Control System Technology17(6): 1376–1384.
11.
GaroneECasavolaA (2012) Receding horizon control strategies for constrained LPV systems based on a class of nonlinearly parameterized Lyapunov functions. IEEE Transactions on Automatic Control57(9): 2354–2360.
12.
HeDHuangHChenQ (2014) Quasi-min-max MPC for constrained nonlinear systems with guaranteed input-to-state stability. Journal of the Franklin Institute351(6): 3405–3423.
13.
HwangDSHsuPL (1998) A robust controller design for supersonic intermittent blowdown-type wind tunnels. Aeronaut Journal102(1013): 161–169.
14.
JinXHuangBShookDS (2011) Multiple model LPV approach to nonlinear process identification with EM algorithm. Journal of Process Control21(1): 182–193.
15.
KothareMVBalakrishnanVMorariM (1996) Robust constrained model predictive control using linear matrix inequalities. Automatica32(10): 1361–1379.
16.
KroselSColeGLBrutonWM, et al (1986) A lumped parameter mathematical model for simulation of subsonic wind tunnels. Technical report, NASA Tech. Paper87324.
17.
LaurainVTóthRZhengW, et al (2012) Nonparametric identification of LPV models under general noise conditions: An LS-SVM based approach. In: Proceedings of the 16th IFAC Symposium on Systems Identification, Brussels, Belgium, pp. 1761–1766.
18.
LiDXiYGaoF (2013a) Synthesis of dynamic output feedback RMPC with saturated inputs. Automatica49(4): 949–954.
19.
LiSDingBSunY (2015) Multi-priority rank steady-state target calculation in double-layered model predictive control by optimizing increments of manipulated variables. Control Theory & Applications32(2): 239–245.
20.
LiYCaiCLeeKM, et al (2013b) A novel cascade temperature control system for a high speed heat-airflow wind tunnel. IEEE Transactions on Mechatronics18(4): 1310–1319.
21.
ManititusAZ (1984) Feedback controllers for a wind tunnel model involving a delay: Analytical design and numerical simulation. IEEE Transactions on Automatic Control29(12): 1058–1068.
22.
MayneDQRawlingsJBScokaertPOM (2000) Constrained model predictive control: Stability and optimality. Automatica36(6): 789–814.
23.
MorariMLeeJH (1999) Model predictive control: past, present and future. Computers & Chemical Engineering23(4–5): 667–682.
24.
NottCROlcmenSMLewisDR, et al. (2008) Supersonic, variable-throat, blow-down wind tunnel control using genetic algorithms, neural networks, and gain scheduled PID. Applied Intelligence29(1): 79–89.
25.
ParkJKimTSugieT (2011) Output feedback model predictive control for LPV systems based on quasi-min-max algorithm. Automatica47(9): 2052–2058.
26.
PelaAF (1989) Closed-loop mach number control in a transonic wind-tunnel. AIAA Journal30(1): 25–32.
27.
WangXLiSCaiW, et al. (2005) Multi-model direct adaptive decoupling control with application to the wind tunnel system. ISA Transactions44(1): 131–143.
28.
WangYRawlingsJ (2004) A new robust model predictive control method I: Theory and computation. Journal of Process control14(3): 231–247.
29.
WattamwarSKWeilandSBackxT (2010) Identification of low order parameter-varying models for large-scale systems. Journal of Process Control20(2): 158–172.
30.
ZhangGChaiTShaoC (1997) A synthetic approach for control of intermittent wind tunnel. In: Proceedings of the 1997 American Control Conference, Albuquerque, NM, pp. 203–207.
31.
ZhangJYuanPChinKS (2018) Model predictive control for the flow field in an intermittent transonic wind tunnel. IEEE Transactions on Aerospace & Electronic Systems54(1): 324–338.
32.
ZhengPLiDXiY, et al (2013) Improved model prediction and RMPC design for LPV systems with bounded parameter changes. Automatica49(12): 3695–3699.
33.
ZhuRYinGTangG, et al (2017) Temperature trajectory control of cryogenic wind tunnel with robust adaptive control. Transactions of the Institute of Measurement and Control40(13): 3675–3689.
