Infinite horizon linear quadratic hybrid fault-tolerant control for multi-phase batch process

doi:10.11949/j.issn.0438-1157.20181366

Abstract

Abstract:

A hybrid fault-tolerant controller with infinitely adjustable time-domain parameters is designed to ensure fault-tolerant control performance. Firstly a multi-phase state space model by acquiring input and output data is established, and further the state space model is into transformed an extended state space model containing state variables and output tracking errors, and the switched system model is used to represent it, so as to design the controller in an infinite horizon. Then, to obtain the minimum running time, the dwell time method depending on the Lyapunov function is proposed for different stages. Finally, taking the injection molding process as an example, the system simulation is carried out. The simulation shows that the proposed method is feasible and effective.

Key words: batch processes, switched systems, process control, control, systems engineering, actuator failure

摘要：

针对具有输入时滞的多阶段间歇过程，考虑执行器故障影响，提出了无穷时域优化混杂容错控制器设计方法。该方法首先将给定具有输入时滞的模型转化为新的无时滞的状态空间模型，接着再将此模型转换为包含状态变量误差和输出跟踪误差的扩展状态空间模型，并用切换系统模型表示，然后引入有限时域的二次目标函数，利用最优控制理论，设计出在无穷时域中容错控制器。为获得最小运行时间，针对不同阶段设计依赖于Lyapunov函数的驻留时间方法。创新之处在于，控制律设计简单，计算量小，且每一阶段时间求取不需要引用任何其他变量，简单易行。最后，以注塑成型过程为例，仿真结果证明所提出方法具有可行性和有效性。

关键词: 间歇过程, 切换系统, 过程控制, 控制, 系统工程, 执行器故障

CLC Number:

TB 114.43

Limin WANG, Libin LU, Furong GAO, Donghua ZHOU. Infinite horizon linear quadratic hybrid fault-tolerant control for multi-phase batch process[J]. CIESC Journal, 2019, 70(2): 541-547.

王立敏, 卢丽彬, 高福荣, 周东华. 多阶段间歇过程无穷时域优化线性二次容错控制[J]. 化工学报, 2019, 70(2): 541-547.

Figures/Tables 3

References 31

1	WangY Q, ShiJ, ZhouD H, et al. Iterative learning fault-tolerant control for batch processes[J]. Industrial & Engineering Chemistry Research, 2006, 45(26): 9050-9060.
2	WangY Q, ZhouD H, GaoF R. Iterative learning reliable control of batch processes with sensor faults[J]. Chemical Engineering Science, 2008, 63(4): 1039-1051.
3	WangY Q, ZhouD H, GaoF R. Generalized predictive control of linear systems with actuator arrearage faults[J]. Journal of Process Control, 2009, 19(5): 803-815.
4	AumiS, MhaskarP. Robust model predictive control and fault handling of batch processes[J]. AIChE Journal, 2011, 57(7): 1796-1808.
5	WangL M, DongW W. Optimal iterative learning fault-tolerant guaranteed cost control for batch processes in the 2D-FM model[J]. Abstract and Applied Analysis, 2014, 2012(5): 919-929.
6	ZhangR D, GanL Z, LuJ Y, et al. New design of state space linear quadratic fault-tolerant tracking control for batch processes with partial actuator failure[J]. Industrial & Engineering Chemistry Research, 2013, 52(46): 16294-16300.
7	WangL M, ChenX, GaoF R. An LMI method to robust iterative learning fault-tolerant guaranteed cost control for batch processes[J]. Chinese Journal of Chemical Engineering, 2013, 21(4): 401-411.
8	ZhangR D, LuJ Y, QuH Y, et al. State space model predictive fault-tolerant control for batch processes with partial actuator failure[J]. Journal of Process Control, 2014, 24(5): 613-620.
9	ZhangR D, ZouH B, XueA K, et al. GA based predictive functional control for batch processes under actuator faults[J]. Chemometrics and Intelligent Laboratory Systems, 2014, 137(1): 67-73.
10	ZhangR D, LuR Q, XueA K, et al. Predictive functional control for linear systems under partial actuator faults and application on an injection molding batch process[J]. Ind.Eng.Chem. Res., 2014, 53(2): 723-731.
11	ZhangR D, JinQ B, GaoF R. Design of state space linear quadratic tracking control using GA optimization for batch processes with partial actuator failure[J]. Journal of Process Control, 2015, 26: 102-114.
12	ZhangR D, GaoF R. Improved infinite horizon LQ tracking control for injection molding process against partial actuator failures[J]. Computers & Chemical Engineering, 2015, 80: 130-139.
13	ZhangR D, LuR Q, XuaA K, et al. New minmax linear quadratic fault-tolerant tracking control for batch processes[J]. IEEE Transactions on Automatic Control, 2016, 61(10): 3045-3051.
14	WangL M, LiuF F, YuJ X, et al. Iterative learning fault-tolerant control for injection molding processes against actuator faults[J]. Journal of Process Control, 2017, 59: 59-72.
15	ZouT, WuS, ZhangR D. Improved state space model predictive fault-tolerant control for injection molding batch processes with partial actuator faults using GA optimization[J]. ISA Transactions, 2018, 73: 147-153.
16	WangY Q, ZhouD H, GaoF R. Active fault-tolerant control of nonlinear batch processes with sensor faults[J]. Industrial & Engineering Chemistry Research, 2007, 46(26): 9158-9169.
17	PengK, ZhangK, YouB, et al. A quality-based nonlinear fault diagnosis framework focusing on industrial multimode batch processes[J]. IEEE Transactions on Industrial Electronics, 2016, 63(4): 2615-2624.
18	WangL M, ZhuC J, YuJ X, et al. Fuzzy iterative learning control for batch processes with interval time-varying delays[J]. Industrial & Engineering Chemistry Research, 2017, 56(14): 3993-4001.
19	AltinB, BartonK. Exponential stability of nonlinear differential repetitive processes with applications to iterative learning control[J]. Automatica, 2017, 81: 369-376.
20	WangL M, LiB Y, YuJ X, et al. Design of fuzzy iterative learning fault-tolerant control for batch processes with time-varying delays[J]. Optimal Control Applications & Methods, 2018, 39: 1887-1903.
21	LuJ Y, CaoZ X, ZhangR D, et al. Nonlinear monotonically convergent iterative learning control for batch processes[J]. IEEE Transactions on Industrial Electronics, 2018, 65(7): 5826-5836.
22	LiuT, GaoF. A generalized relay identification method for time delay and non-minimum phase processes[J]. Automatica, 2010, 45(4): 1072-1079.
23	WangL M, MoS Y, ZhouD H, et al. Robust delay dependent iterative learning fault-tolerant control for batch processes with state delay and actuator failures[J]. Journal of Process Control, 2012, 7(22): 1273-1286.
24	WangL M, MoS Y, ZhouD H, et al. Delay-range-dependent method for iterative learning fault-tolerant guaranteed cost control for batch processes[J]. Industrial & Engineering Chemistry Research, 2013, 52(7): 2661-2671.
25	LiuC. Optimal control of a switched autonomous system with time delay arising in fed-batch processes[J]. IMA Journal of Applied Mathematics, 2015, 80(2): 569-584.
26	WangY M, ZhaoD H, LiY Y, et al. Unbiased minimum variance fault and state estimation for linear discrete time-varying two-dimensional systems[J]. IEEE Transactions on Automatic Control, 2017, 62(10): 5463-5469.
27	TaoH, PaszkeW, RogersE, et al. Iterative learning fault-tolerant control for differential time-delay batch processes in finite frequency domains[J]. Journal of Process Control, 2017, 56： 112-128.
28	WangL M, HeX, ZhouD H. Average dwell time-based optimal iterative learning control for multi-phase batch processes[J]. Journal of Process Control, 2016, 40: 1-12.
29	GaoM, ShengL, ZhouD H, et al. Iterative learning fault-tolerant control for networked batch processes with multi-rate sampling and quantization effects[J]. Industrial & Engineering Chemistry Research, 2017, 56(9): 2515-2525.
30	WangL M, ShengY T, YuJ X, et al. Robust iterative learning control for multi-phase batch processes: an average dwell-time method with 2D convergence indexes[J]. International Journal of Systems Science, 2018, 49(2): 324-343.
31	LuJ Y, CaoZ X, GaoF R. A multi-point iterative learning model predictive control for batch processes[J]. IEEE Transactions on Industrial Electronics, 2018, DOI: 10.1109/TIE.2018.2873133. DOI

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