Finite-time Stabilization of the Double Integrator Subject to Input Saturation and Input Delay

被引：11

作者：

Ye, Huawen ^{[1
]}

Li, Meng ^{[1
]}

Yang, Chunhua ^{[1
]}

Gui, Weihua ^{[1
]}

机构：

[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China

来源：

IEEE-CAA JOURNAL OF AUTOMATICA SINICA | 2018年 / 5卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Finite-time stabilization; input delay; saturated design; GLOBAL ASYMPTOTIC STABILIZATION; NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; STABILITY; FEEDBACK;

D O I：

10.1109/JAS.2018.7511177

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The time-optimal control design of the double integrator is extended to the finite-time stabilization design that compensates both input saturation and input delay. With the aid of the Artstein's transformation, the problem is reduced to assigning a saturated finite-time stabilizer.

引用

页码：1017 / 1024

页数：8

共 13 条

[1] LINEAR-SYSTEMS WITH DELAYED CONTROLS - A REDUCTION [J].

ARTSTEIN, Z .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (04) :869-879

[2]

Athans Michael., 1966, OPTIMAL CONTROL

[3] Continuous finite-time stabilization of the translational and rotational double integrators [J].

Bhat, SP ;

Bernstein, DS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (05) :678-682

[4]

Bhat SP, 1997, P AMER CONTR CONF, P2513, DOI 10.1109/ACC.1997.609245

[5] Global Stabilization of a Class of Feedforward Systems with Lower-Order Nonlinearities [J].

Ding, Shihong ;

Qian, Chunjiang ;

Li, Shihua .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (03) :691-696

[6] Finite-time global stabilization by means of time-varying distributed delay feedback [J].

Karafyllis, I .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (01) :320-342

[7] Global asymptotic stabilization of feedforward systems with delay in the input [J].

Mazenc, F ;

Mondié, S ;

Francisco, R .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (05) :844-850

[8] Finite-time stability and stabilization of time-delay systems [J].

Moulay, Emmanuel ;

Dambrine, Michel ;

Yeganefar, Nima ;

Perruquetti, Wilfrid .

SYSTEMS & CONTROL LETTERS, 2008, 57 (07) :561-566

[9] A continuous feedback approach to global strong stabilization of nonlinear systems [J].

Qian, CJ ;

Lin, W .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (07) :1061-1079

[10]

Sastry Shankar., 1999, Nonlinear system: Analysis, stability, and control

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