Robust stabilization via iterative state steering with an application to chained-form systems

被引：55

作者：

Lucibello, P

Oriolo, G

机构：

[1] Univ Roma La Sapienza, Dipartimento Informat & Sistemist, I-00184 Rome, Italy

[2] Soc Gestione Implanti Nucl, I-00184 Rome, Italy

来源：

AUTOMATICA | 2001年 / 37卷 / 01期

关键词：

stabilization; robustness; iterative methods; non-smoothly stabilizable systems; mobile robots;

D O I：

10.1016/S0005-1098(00)00124-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An approach is presented for the robust stabilization of non-linear systems. The proposed strategy can be adopted whenever it is possible to compute a control law that steers the state in finite time from any initial condition to a point closer to the desired equilibrium. Under suitable assumptions, such control law can be applied in an iterative fashion, obtaining uniform asymptotic stability of the equilibrium point, with exponential rate of convergence. Small non-persistent perturbations are rejected, while persistent perturbations induce limited errors. In order to show the usefulness of the presented theoretical developments, the approach is applied to chained-form systems and, for illustration, simulations results are given for the robust stabilization of a unicycle. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：71 / 79

页数：9

共 20 条

[11]

Lucibello P., 1998, Preprints of the 4th IFAC Nonlinear Control Systems Design Symposium 1998. NOLCOS '98, P714

[12]

Lucibello P, 1996, IEEE DECIS CONTR P, P2614, DOI 10.1109/CDC.1996.573496

[13]

Lucibello P., 1992, Proceedings of the 1992 American Control Conference (IEEE Cat. No.92CH3072-6), P1888

[14]

MONACO S, 1992, PROCEEDINGS OF THE 31ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, P1780, DOI 10.1109/CDC.1992.371122

[15]

MURRAY GT, 1993, MATER ENGN, V2, P1

[16] EXPLICIT DESIGN OF TIME-VARYING STABILIZING CONTROL LAWS FOR A CLASS OF CONTROLLABLE SYSTEMS WITHOUT DRIFT [J].

POMET, JB .

SYSTEMS & CONTROL LETTERS, 1992, 18 (02) :147-158

[17]

Rao M.Rama Mohana., 1980, ORDINARY DIFFERENTIA

[18] CONTROL OF CHAINED SYSTEMS APPLICATION TO PATH-FOLLOWING AND TIME-VARYING POINT-STABILIZATION OF MOBILE ROBOTS [J].

SAMSON, C .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (01) :64-77

[19] EXPONENTIAL STABILIZATION OF NONHOLONOMIC CHAINED SYSTEMS [J].

SORDALEN, OJ ;

EGELAND, O .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (01) :35-49

[20]

Vendittelli M., 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065), P1817, DOI 10.1109/ROBOT.2000.844859

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