OPTIMAL SWITCHING TIME CONTROL OF DISCRETE-TIME SWITCHED AUTONOMOUS SYSTEMS

被引：0

作者：

Li, Shengtao ^{[1
]}

Liu, Xiaomei ^{[2
]}

Tan, Yanyan ^{[1
]}

Ding, Yanhui ^{[1
]}

Zhang, Kanjian ^{[3
]}

机构：

[1] Shandong Normal Univ, Sch Informat Sci & Engn, Shandong Prov Key Lab Novel Distributed Comp Soft, 88 East Wenhua Rd, Jinan 250014, Shandong, Peoples R China

[2] Shandong Normal Univ, Sch Management Sci & Engn, Jinan 250014, Shandong, Peoples R China

[3] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL | 2015年 / 11卷 / 06期

基金：

国家自然科学基金重大项目;

关键词：

Optimal control; Switched systems; Calculus of variation;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Optimal switching time control is the study that investigates how best to switch between different modes. In this paper, we present an approach for solving the optimal switching time control problem of discrete-time switched linear systems, where the objective is to minimize a cost functional defined on the state. In particular, we assume that the sequence of active subsystems is pre-specified and the switching times are the only control variables. Firstly, using calculus of variations, for one switching time case, the difference of the cost with respect to the switching time is derived. Then, a method is provided to deal with the switched systems with multiple switching times. It is worth mentioning that the differences of the cost functional have an especially simple form and can be easily used to locate the optimal switching instants. Finally, a numerical example shows the viability of the proposed method.

引用

页码：2043 / 2050

页数：8

共 30 条

[1]

Ben Attia S, 2012, INT J INNOV COMPUT I, V8, P3203

[2] A unified framework for hybrid control: Model and optimal control theory [J].

Branicky, MS ;

Borkar, VS ;

Mitter, SK .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (01) :31-45

[3] Infinite horizon optimal control of affine nonlinear discrete switched systems using two-stage approximate dynamic programming [J].

Cao, Ning ;

Zhang, Huaguang ;

Luo, Yanhong ;

Feng, Dezhi .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (09) :1673-1682

[4] Digital optimal reduced-order control of pulse-width-modulated switched linear systems [J].

De Koning, WL .

AUTOMATICA, 2003, 39 (11) :1997-2003

[5] On-Line Optimization of Switched-Mode Dynamical Systems [J].

Ding, X. -C. ;

Wardi, Y. ;

Egerstedt, M. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (09) :2266-2271

[6]

Egerstedt M, 2003, 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, P2138

[7] A discrete filled function method for the optimal control of switched systems in discrete time [J].

Feng, Z. G. ;

Teo, K. L. ;

Rehbock, V. .

OPTIMAL CONTROL APPLICATIONS & METHODS, 2009, 30 (06) :585-593

[8] General sampled data modeling of power systems supplied by static converter with digital and analog controller [J].

Flieller, D ;

Louis, JP ;

Barrenscheen, J .

MATHEMATICS AND COMPUTERS IN SIMULATION, 1998, 46 (3-4) :373-385

[9]

Kawashima H., 2012, HYBRID SYSTEMS, P198

[10] Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results [J].

Lin, Hai ;

Antsaklis, Panos J. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) :308-322

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