Optimal output tracking control for discrete-time systems with delayed state and input

被引：0

作者：

Zhang J. ^{[1
]}

Su H. ^{[1
]}

Wang L.-K. ^{[1
]}

Tang G.-Y. ^{[1
]}

机构：

[1] College of Information Science and Engineering, Ocean University of China, Qingdao

来源：

Kongzhi yu Juece/Control and Decision | 2017年 / 32卷 / 01期

关键词：

Discrete-time system; Optimal control; Optimal output tracking; Successive approximation; Time delay system;

D O I：

10.13195/j.kzyjc.2016.0060

中图分类号：

学科分类号：

摘要：

This paper proposes a design method of optimal tracking control for discrete-time systems with the delayed state and input. By introducing a new state vector, the original system is transformed into a non-delay discrete-time system with virtual disturbance. According to the optimal control theory, a sequence of discrete Riccati matrix equations and Stein matrix difference equations are constructed, and the solution sequence is proved to converge to the optimal tracking strategy of the transformed discrete-time system. By using the successive approximation design method of optimal control, the approximate solution of the optimal tracking control is obtained, and a design algorithm of the optimal tracking control law is presented. Simulation examples are given to illustrate the effectiveness of the proposed approach. © 2017, Editorial Office of Control and Decision. All right reserved.

引用

页码：157 / 162

页数：5

共 15 条

[1]

Zhu Y., Su H., Krstic M., Adaptive backstepping control of uncertain linear systems under unknown actuator delay, Automatica, 54, pp. 256-265, (2015)

[2]

Gao H., Chen T.W., Network-based H output tracking control, IEEE Trans on Automatic Control, 53, 3, pp. 655-667, (2008)

[3]

Mobayen S., An LMI-based robust tracker for uncertain linear systems with multiple time-varying delays using optimal composite nonlinear feedback technique, Nonlinear Dynamics, 80, 1-2, pp. 917-927, (2015)

[4]

Majd V., Mobayen S., An ISM-based CNF tracking controller design for uncertain MIMO linear systems with multiple time-delays and external disturbances, Nonlinear Dynamics, 80, 1-2, pp. 591-613, (2015)

[5]

Tang G.Y., Fan M.Q., Series-based approximate approach of optimal tracking control for nonlinear systems with timedelay, Progress in Natural Science, 18, 12, pp. 1571-1576, (2008)

[6]

Ma H., Tang G.Y., Hu W., Feedforward and feedback optimal control with memory for offshore platforms under irregular wave forces, J of Sound and Vibration, 328, 4-5, pp. 369-381, (2009)

[7]

Zhang H., Shi Y., Liu M.X., H<sub>∞</sub> step tracking control for networked discrete-time nonlinear systems with integral and predictive actions, IEEE Trans on Industrial Informatics, 9, 1, pp. 337-345, (2013)

[8]

Zhang H.G., Song R.Z., Wei Q.L., Et al., Optimal tracking control for a class of nonlinear discrete-time systems with time delays based on heuristic dynamic programming, IEEE Trans on Neural Networks, 22, 12, pp. 1851-1862, (2011)

[9]

Liu Y., Zhang H.G., Luo Y.H., Et al., ADP based optimal tracking control for a class of linear discrete-time system with multiple delays, J of the Franklin Institute, 353, 9, pp. 2117-2136, (2016)

[10]

Zhang B.L., Liu Y.J., Ma H., Et al., Discrete feedforward and feedback optimal tracking control for offshore steel jacket platforms, Ocean Engineering, 91, pp. 371-378, (2014)

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