不确定连续系统预设性能非线性PID控制

doi:10.3969/j.issn.0255-8297.2017.06.012

Abstract

Abstract:

The nonlinear PID controller is studied for uncertain continuous systems only with the systems' input and output (I/O) data. Under the condition of continuously differentiable reference input and output signal, the prescribed performance control theory is considered. Based on the performance function and the error transformation theory, a simple nonlinear function is then designed to construct a nonlinear PID controller with feasibility proved by theoretical analysis. The proposed controller inherits the advantages of traditional PID with better adaptability robustness and anti-disturbance performance, and better flexibility in parameter adjustment as well. Effectiveness of the results is shown with numerical examples.

Key words: anti-disturbance, robustness and adaptability, prescribed performance control, nonlinear PID controller

CLC Number:

TP273.2

CHEN Long-sheng, WANG Qi. Prescribed Performance Nonlinear PID Control for Uncertain Continuous Systems[J]. Journal of Applied Sciences, 2017, 35(6): 786-796.

References

[1] 韩京清. 控制理论-模型论还是控制论[J]. 系统料学与数学,1989, 9(4):328-335. Han J Q. Control theory, is it a model analysis approach or a direct control approach?[J]. Journal of System Science and Mathematical, 1989, 9(4):328-335. (in Chinese)
[2] 高志强. 自抗扰控制思想探究[J]. 控制理论与应用,2013, 30(12):1498-1509. Gao Z Q. On the foundation of active disturbance rejection control[J]. Control Theory & Applications, 2013, 30(12):1498-1509. (in Chinese)
[3] 侯忠生. 无模型自适应控制的现状与展望[J]. 控制理论与应用,2006, 23(4):586-591 Hou Z S. On model-free adaptive control:the state of the art and perspective[J]. Control Theory & Applications, 2006, 23(4):586-591. (in Chinese)
[4] Wang H Q, Chen B, Lin C. Adaptive neural tracking control for a class of perturbed purefeedback nonlinear systems[J]. Nonlinear Dynamics, 2013(72):207-220.
[5] Wang M, Liu X P, Shi P. Adaptive neural control of pure-feedback nonlinear time-delay systems via dynamic surface technique[J]. IEEE Transactions on Systems, Man, and Cybernetics-Part B:Cybernetics, 2011, 41(6):1681-1692.
[6] Lee C H, Chung B R. Adaptive back stepping controller design for nonlinear uncertain systems using fuzzy neural systems[J]. International Journal of Systems Science, 2012, 43(10):1855-1869.
[7] 侯忠生,许建新. 数据驱动控制理论及方法的回顾和展望[J]. 2009, 35(6):650-665. Hou Z S, Xu J X. On data-driven control theory:the state of the art and perspective[J]. Acta Automatica Sinica, 35(6):650-665. (in Chinese)
[8] 韩京清. 从PID技术到自抗扰控制技术[J]. 控制工程,2002, 9(3):13-18. Han J Q. From PID technique to active disturbances rejection control technique[J]. Control Engineering of China, 2002, 9(3):13-18. (in Chinese)
[9] 胡包钢,应浩. 模糊PID控制技术研究发展回顾及其面临的若干重要问题[J]. 自动化学报,2001, 27(4):567-584. Hu B G, Ying H. Review of fuzzy PID control techniques and some important issues[J]. Acta Automatica Sinica, 2001, 27(4):567-584. (in Chinese)
[10] Kang J, Meng W J, Abraham A. An adaptive PID neural network for complex nonlinear system control[J]. Neurocomputing, 2014, 135:79-85.
[11] Yang Z G, Qian J L. PID neural network smith predictive control for a control system with time delay[J]. Applied Mechanics and Materials, 2013, (300/301):1533-1539.
[12] Arturo Y, Romero-Troncoso R D J, Morales-Velazquez L, Roque A. PID-controller tuning optimization with genetic algorithms in servo systems[J]. International Journal of Advanced Robotic Systems, 2013, 324(10):1-14.
[13] 韩京清. 非线性PID控制器[J]. 自动化学报,1994, 20(4):487-490. Han J Q. Nonlinear PID controller[J]. Acta Automatica Sinica, 1994, 20(4):487-490. (in Chinese)
[14] 胡包钢. 非线性PID控制器研究——比例分量的非线性方法[J]. 自动化学报,2006, 32(2):219-227. Hu B G. A study on nonlinear pid controllers-proportional component approach[J]. Acta Automatica Sinica, 2006, 32(2):219-227. (in Chinese)
[15] Hu B G, Mann G K I, Gasine R G. Control curve design for nonlinear (or fuzzy) proportional actions using spline-based function[J]. Automatics, 1998, 34(9):1125-1133。
[16] Bechlioulis C P, Rovithaki G. A. Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance[J]. IEEE Transactions on Automatic Control, 2008(53):2090-2099.
[17] Bechlioulis C P, Rovithaki G A. Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems[J]. Automatica, 2009, 45(2):532-538.
[18] Bechlioulis C P, Rovithaki G A. Prescribed performance adaptive control for multi-input multi-output affine in the control nonlinear systems[J]. IEEE Transactions on Automatic Control, 2010, 55(5):1220-1226.
[19] Zhang S J, Qiu X W, Liu C S. Neural adaptive compensation control for a class of MIMO uncertain nonlinear systems with actuator failures[J]. Circuits Systems & Signal Process, 2014(33):1971-1984.
[20] Zhang L L, Sui S, Li Y M. Adaptive fuzzy output feedback tracking control with prescribed performance for chemical reactor of MIMO nonlinear systems[J]. Nonlinear Dynamics, 2015, 80(1/2):945-957.
[21] Baillieul J B, Willems J C. Mathematical control theory[M].[S.l.]:Springer, 2012.
[22] Qi G Y, Chen Z Q, Yuan Z Z. Model-free control of affine chaotic systems[J]. Physics Letters A, 2005, 344(2/3/4):189-202.
[23] Liu Y J, Tong S C. Barrier Lyapunov functions-based adaptive control for a class of nonlinear pure-feedback systems with full state constraints[J]. Automatic, 2016(64):70-75.
[24] 陈龙胜,王琦. 输入受限的非仿射纯反馈系统自适应动态面容错控制[J]. 控制理论与应用,2016, 33(2):221-227. Chen L S, Wang Q. Adaptive dynamic surface fault-tolerant control for uncertain non-affine pure feedback systems with input constraint[J]. Control Theory & Applications, 2016, 33(2):221-227. (in Chinese)
[25] Shaughnessy J, Pinckney S, Mcminn J. Hypersonic vehicle simulation model:Winged-cone configuration[R]. NASA TM-102610, 1990.

Prescribed Performance Nonlinear PID Control for Uncertain Continuous Systems

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