Exponential stability of predictor feedback for discrete-Time linear systems with input delays

被引：0

作者：

Choi, Joon-Young ^{[1
]}

机构：

[1] Department of Electronics Engineering, Pusan National University

来源：

Choi, J.-Y. (jyc@pusan.ac.kr) | 2013年 / Institute of Control, Robotics and Systems卷 / 19期

关键词：

Backstepping transformation; Delay systems; Exponential stability; Predictor;

D O I：

10.5302/J.ICROS.2013.13.1913

中图分类号：

学科分类号：

摘要：

We consider discrete-time LTI (Linear Time-Invariant) systems with constant input delays. The input delay is modeled by a first-order PdE (Partial difference Equation) and a backstepping transformation is employed to design a predictor feedback controller. The backstepping approach results in the construction of an explicit Lyapunov function, with which we prove the exponential stability of the closed-loop system formed by the predictor feedback. The numerical example demonstrates the design of the predictor feedback controller, and illustrates the validity of the exponential stability. © ICROS 2013.

引用

页码：583 / 586

页数：3

共 17 条

[1]

Manitius A.Z., Olbrot A.W., Finite spectrum assignment for systems with delays, IEEE Transactions on Automatic Control, 24, pp. 541-553, (1979)

[2]

Kwon W.H., Pearson A.E., Feedback stabilization of linear systems with delayed control, IEEE Transactions on Automatic Control, 25, pp. 266-269, (1980)

[3]

Artstein Z., Linear systems with delayed controls: a reduction, IEEE Transactions on Automatic Control, 27, pp. 869-879, (1982)

[4]

Watanabe K., Finite spectrum assignment and observer for multivariable systems with commensurate delays, IEEE Transactions on Automatic Control, 31, pp. 543-550, (1996)

[5]

Niculescu S.-I., Delay Effects on Stability, Springer, (2001)

[6]

Mondie S., Michiels W., Finite spectrum assignment of unstable time-delay systems with a safe implementation, IEEE Transactions on Automatic Control, 48, pp. 2207-2212, (2003)

[7]

Jankovic M., Forwarding, backstepping, and finite spectrum assignment for time delay systems, Proc. of Amer. Control Conference, pp. 5618-5624, (2006)

[8]

Zhong Q.-C., Robust Control of Time-Delay Systems, (2006)

[9]

Michiels W., Niculescu S.-I., Stability Stabilization of Time-Delay Systems: An Eigenvalue-Based Approach, (2007)

[10]

Krstic M., Smyshlyaev A., Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays, Systems & Control Letters, 57, pp. 750-758, (2008)

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