Time Maximum Control for a Class of Single-Input Planar Affine Control Systems and Constraints

被引：0

作者：

Liu, Feng ^{[1
]}

Chiu, George T. -C. ^{[2
]}

Hamby, Eric S. ^{[3
]}

Eun, Yongsoon ^{[3
]}

机构：

[1] Cummins Inc, Columbus, IN 47201 USA

[2] Purdue Univ, Sch Mech Engn, W Lafayette, IN 47907 USA

[3] Xerox Webster Res Ctr, Webster, NY 14580 USA

来源：

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/CDC.2009.5400459

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In some dynamic systems, it is desirable to keep the state trajectory within a predefined (constrained) subset of the state space, referred to as an operating region. However, for certain systems, state trajectories leave the operating region in finite time due to system dynamics. To keep the state trajectory in the operating region as long as possible, a constrained time optimal control problem can be formulated. The analytical solution to the optimal control problem can be derived for a class of single-input planar affine control systems and constraints, which exist in a wide range of processes in xerography, bio-reaction, etc. A numerical example from a development xerographic process is used to demonstrate the feasibility of the analytical solution.

引用

页码：5045 / 5050

页数：6

共 50 条

[1] Orbital flatness of a class of single-input control systems
Li Shunjie
Xu Chao
[J]. PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 825 - 830
[2] Attraction domain estimate for single-input affine systems with constrained control
A. V. Pesterev
[J]. Automation and Remote Control, 2017, 78 : 581 - 594
[3] An algorithm for orbital feedback linearization of single-input control affine systems
Guay, M.
[J]. Systems and Control Letters, 1999, 38 (4-5): : 271 - 281
[4] An algorithm for orbital feedback linearization of single-input control affine systems
Guay, M
[J]. SYSTEMS & CONTROL LETTERS, 1999, 38 (4-5) : 271 - 281
[5] Attraction Domain Estimate for Single-Input Affine Systems with Constrained Control
Pesterev, A. V.
[J]. AUTOMATION AND REMOTE CONTROL, 2017, 78 (04) : 581 - 594
[6] Local factorization of trajectory lifting morphisms for single-input affine control systems
Tabuada, Paulo
[J]. SYSTEMS & CONTROL LETTERS, 2006, 55 (09) : 761 - 769
[7] A HOMOTOPY APPROACH FOR STABILIZING SINGLE-INPUT SYSTEMS WITH CONTROL STRUCTURE CONSTRAINTS
PHATAK, MS
KEERTHI, SS
[J]. AUTOMATICA, 1992, 28 (05) : 981 - 987
[8] Curvatures of single-input control systems
Jakubczyk, Bronislaw
[J]. CONTROL AND CYBERNETICS, 2009, 38 (04): : 1375 - 1391
[9] A Maximum Principle for Single-Input Boolean Control Networks
Laschov, Dmitriy
Margaliot, Michael
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (04) : 913 - 917
[10] Subriemannian metric induced by single-input locally accessible control-affine systems
Hoeffner, K.
Guay, M.
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2013, 247 (01) : 1 - 6

← 1 2 3 4 5 →