Autonomous Output Feedback Stabilization With Prescribed Settling-Time Bound

被引：15

作者：

Orlov, Yury ^{[1
]}

Kairuz, Ramon I. Verdes ^{[2
]}

机构：

[1] Mexican Sci Res & Adv Studies Ctr Ensenada, Dept Elect & Telecommun, Ensenada 22860, Mexico

[2] Inst Politecn Nacl CITEDI, Ave Inst Politecn Nacl 1310, Ciudad De Mexico 06040, Mexico

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 04期

关键词：

Convergence; Output feedback; Noise measurement; Closed loop systems; Heuristic algorithms; Observers; Numerical stability; Finite; fixed-time (FT) stability; output feedback; prescribed-time (PT) stabilization; SLIDING-MODE CONTROL; LINEAR-SYSTEMS; STABILITY; OBSERVER; DESIGN; CHAIN;

D O I：

10.1109/TAC.2022.3173988

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Novel output feedback stabilization is developed for a chain of integrators to impose on the closed-loop system an a priori given settling-time bound regardless of the initial state. The intended design is deduced from fixed-time stabilization using a proportional time-space scaling. The resulting nonsmooth feedback relies on time-independent gains thereby admitting its straightforward implementation as opposed to the original design (Song et al., 2017) with time-varying gains, escaping to infinity as time goes to the prescribed-time instant. The proposed observer-based output feedback design with constant gains and with prescribed convergence rate constitutes the main contribution of this article.

引用

页码：2452 / 2459

页数：8

共 29 条

[1] Chattering-Free Digital Sliding-Mode Control With State Observer and Disturbance Rejection [J].

Acary, Vincent ;

Brogliato, Bernard ;

Orlov, Yury V. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (05) :1087-1101

[2] Homogeneous approximation, recursive observer design, and output feedback [J].

Andrieu, Vincent ;

Praly, Laurent ;

Astolfi, Alessandro .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2008, 47 (04) :1814-1850

[3] Finite time stabilization of a perturbed double integrator - Part II: Applications to Bipedal Locomotion [J].

Aoustin, Y. ;

Chevallereau, C. ;

Orlov, Y. .

49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, :3554-3559

[4] Finite-time stability of continuous autonomous systems [J].

Bhat, SP ;

Bernstein, DS .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766

[5] Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems [J].

Briat, Corentin .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 24 :198-226

[6] STABILIZATION FOR A PERTURBED CHAIN OF INTEGRATORS IN PRESCRIBED TIME [J].

Chitour, Yacine ;

Ushirobira, Rosane ;

Bouhemou, Hassan .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2020, 58 (02) :1022-1048

[7] A class of predefined-time controllers for uncertain second-order systems [J].

Diego Sanchez-Torres, Juan ;

Jonathan Munoz-Vazquez, Aldo ;

Defoort, Michael ;

Jimenez-Rodriguez, Esteban ;

Loukianov, Alexander G. .

EUROPEAN JOURNAL OF CONTROL, 2020, 53 :52-58

[8] Enhanced continuous higher order sliding mode control with adaptation [J].

Edwards, C. ;

Shtessel, Y. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (09) :4773-4784

[9] On the design of nonautonomous fixed-time controllers with a predefined upper bound of the settling time [J].

Gomez-Gutierrez, David .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (10) :3871-3885

[10] FINITE-TIME CONTROLLERS [J].

HAIMO, VT .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (04) :760-770

← 1 2 3 →