Input-dependent stability analysis of systems with saturation in feedback

被引：0

作者：

Pogromsky, A. Yu. ^{[1
,2
]}

Matveev, A. S. ^{[3
]}

Chaillet, A. ^{[4
]}

Rueffer, B. ^{[5
]}

机构：

[1] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands

[2] St Petersburg Natl Res Univ Informat Technol Mech, Dept Control Syst & Informat, St Petersburg, Russia

[3] St Petersburg State Univ, Math & Mech Fac, St Petersburg 198504, Russia

[4] Univ Paris 11, EECI, SUPELEC, F-91192 Gif Sur Yvette, France

[5] Univ Paderborn, EIM E, Syst Theory Grp, Paderborn, Germany

来源：

2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2013年

关键词：

INCREMENTAL STABILITY; CRITERION;

D O I：

暂无

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 paper deals with global stability analysis of linear control systems with saturation in feedback driven by an external input. Various new criteria based on non-quadratic Lyapunov functions are proposed, that unlike many previous results, offer better account for the role of the external excitation by providing input-dependent conditions for stability of solutions. For example, it is shown that even if the system fails to satisfy the incremental version of the circle criterion, the stability is guaranteed whenever the uniform root mean square value of the input signal is less than a computable threshold. The general theoretical results are illustrated in the case of the double integrator closed by a saturated linear feedback with an external excitation.

引用

页码：5903 / 5908

页数：6

共 50 条

[1] Input-Dependent Structural Identifiability of Nonlinear Systems
Villaverde, Alejandro F.
Evans, Neil D.
Chappell, Michael J.
Banga, Julio R.
IEEE CONTROL SYSTEMS LETTERS, 2019, 3 (02): : 272 - 277
[2] Stability analysis for reset systems with input saturation
Loquen, Thomas
Tarbouriech, Sophie
Prieur, Christophe
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 2622 - 2627
[3] Output Feedback Tracking Sliding Mode Control for Systems with State- and Input-Dependent Disturbances
Yeh, Yi-Liang
ACTUATORS, 2021, 10 (06)
[4] Predictor-Feedback Control of a Model of Microfluidic Process With Hydraulic Input-Dependent Input Delay
Bekiaris-Liberis, Nikolaos
Bresch-Pietri, Delphine
Petit, Nicolas
2023 EUROPEAN CONTROL CONFERENCE, ECC, 2023,
[5] Adaptive critic methods for stochastic systems with input-dependent noise
Herzallah, Randa
AUTOMATICA, 2007, 43 (08) : 1355 - 1362
[6] A probabilistic indirect adaptive control for systems with input-dependent noise
Herzallah, Randa
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2011, 25 (01) : 48 - 67
[7] Optimal Control of Systems Subject to Input-Dependent Hydraulic Delays
Clerget, Charles-Henri
Petit, Nicolas
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (01) : 245 - 260
[8] On the stabilization of nonlinear systems via input-dependent sliding surfaces
SiraRamirez, H
LlanesSantiago, O
Fernandez, NA
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1996, 6 (08) : 771 - 780
[9] Control of a class of nonlinear cascade systems with input-dependent saturations
Casenave, Celine
Perez, Marc
2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2015, : 131 - 136
[10] Parameter-dependent Lyapunov function approach to stability analysis and design for polytopic systems with input saturation
Cao, Yong-Yan
Fang, Kangling
ASIAN JOURNAL OF CONTROL, 2007, 9 (01) : 1 - 10

← 1 2 3 4 5 →