Nonsmooth Speed-Gradient Algorithms

被引：0

作者：

Dolgopolik, Maksim V. ^{[1
]}

Fradkov, Alexander L. ^{[1
,2
,3
]}

机构：

[1] St Petersburg State Univ, St Petersburg 198504, Petergof, Russia

[2] Inst Problems Mech Engn, St Petersburg 199178, Russia

[3] Univ ITMO, St Petersburg 197101, Russia

来源：

2015 EUROPEAN CONTROL CONFERENCE (ECC) | 2015年

关键词：

SYSTEMS;

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 first step toward development a "nonsmooth" version of Speed-Gradient (SG) method is made. As a basis for formal approach the Hadamard subdifferential and set-valued analysis are chosen. Nonsmooth versions of SG-algorithm in differential and finite form are formulated. Conditions for the control goal achievement are proposed. The results are illustrated by an example of asymptotic minimization of the max-norm for a second order linear system.

引用

页码：998 / 1002

页数：5

共 50 条

[1] Nonsmooth and discontinuous speed-gradient algorithms
Dolgopolik, M. V.
Fradkov, A. L.
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 25 : 99 - 113
[2] FINITE-DIFFERENTIAL NONSMOOTH SPEED-GRADIENT CONTROL: STABILITY, PASSIVITY, ROBUSTNESS
Dolgopolik, M., V
Fradkov, A. L.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 59 (02) : 1370 - 1392
[3] SPEED-GRADIENT ALGORITHMS IN PROBLEMS OF THE ADAPTIVE-CONTROL OF MECHANICAL SYSTEMS
STOTSKIY, AA
FRADKOV, AL
JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 1994, 32 (04) : 67 - 75
[4] GENERIC and Speed-Gradient Principle
Shalymov, Dmitry S.
Fradkov, Alexander L.
IFAC PAPERSONLINE, 2018, 51 (33): : 121 - 126
[5] SPEED-GRADIENT CONTROL OF THE BROCKETT INTEGRATOR
Dolgopolik, M. V.
Fradkov, A. L.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2016, 54 (04) : 2116 - 2131
[6] Speed-Gradient Entropy Maximization in Networks
Fradkov, Alexander L.
Shalymov, Dmitry S.
Proskurnikov, Anton V.
2016 IEEE CONFERENCE ON NORBERT WIENER IN THE 21ST CENTURY (21CW), 2016, : 62 - 66
[7] Resonance curve and speed-gradient design of control algorithms for dissociation of diatomic molecule ensembles
Ananjevsky, M
Efimov, A
Fradkov, A
Krivtsov, A
2003 INTERNATIONAL CONFERENCE PHYSICS AND CONTROL, VOLS 1-4, PROCEEDINGS: VOL 1: PHYSICS AND CONTROL: GENERAL PROBLEMS AND APPLICATIONS; VOL 2: CONTROL OF OSCILLATIONS AND CHAOS; VOL 3: CONTROL OF MICROWORLD PROCESSES. NANO- AND FEMTOTECHNOLOGIES; VOL 4: NONLINEAR DYNAMICS AND CONTROL, 2003, : 867 - 878
[8] Speed-gradient Entropy Principle for Nonstationary Processes
Fradkov, Alexander
ENTROPY, 2008, 10 (04): : 757 - 764
[9] Simulation of MEPP via Speed-Gradient Principle
Shalymov, Dmitry S.
Fradkov, Alexander L.
PROCEEDINGS OF ELMAR-2015 57TH INTERNATIONAL SYMPOSIUM ELMAR-2015, 2015, : 113 - 116
[10] Speed-gradient control of towed probe satellite oscillations
Guzenko, PY
NONLINEAR CONTROL SYSTEMS 2001, VOLS 1-3, 2002, : 363 - 367

← 1 2 3 4 5 →