A new technique for translating discrete hybrid automata into piecewise affine systems

被引：8

作者：

Potocnik, B ^{[1
]}

Music, G ^{[1
]}

Zupancic, B ^{[1
]}

机构：

[1] Univ Ljubljana, Fac Elect Engn, SI-1000 Ljubljana, Slovenia

来源：

MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS | 2004年 / 10卷 / 01期

关键词：

hybrid systems; modelling; piecewise affine systems; cell enumeration;

D O I：

10.1080/13873950412331318062

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper proposes a new translation algorithm that translates a hybrid system described as a discrete hybrid automaton (DHA) into an equivalent piecewise affine (PWA) system. The translation algorithm exploits, among others, a new technique for cell enumeration in hyperplane arrangement, all proposed in this paper. The new translation technique enables the transfer of several analysis and synthesis tools developed for PWA systems to a DHA class of hybrid systems.

引用

页码：41 / 57

页数：17

共 50 条

[41] Designing Chaotic Systems by Piecewise Affine Systems [J].

Wu, Tiantian ;

Li, Qingdu ;

Yang, Xiao-Song .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (09)

[42] Hybrid automata for modeling discrete transitions in complex dynamic systems [J].

Mosterman, PJ ;

Biswas, G .

ARTIFICIAL INTELLIGENCE IN REAL-TIME CONTROL 1998, 1999, :43-48

[43] Piecewise Affine Networked Control Systems [J].

Moarref, Miad ;

Rodrigues, Luis .

IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2016, 3 (02) :173-181

[44] A piecewise ellipsoidal reachable set estimation method for continuous bimodal piecewise affine systems [J].

Thuan, Le Quang ;

Nam, Phan Thanh ;

Baldi, Simone .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2023, 47

[45] Global input-to-state stabilization with quantized feedback for discrete-time piecewise affine systems with time delays [J].

Mu Xiaowu ;

Gao Yang .

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2013, 26 (06) :925-939

[46] Hybrid Modeling of Quasi-Resonant Converters: A Piecewise Affine Approach [J].

Hasanisaadi, Mohammadhesam ;

Tahami, Farzad .

2022 13TH POWER ELECTRONICS, DRIVE SYSTEMS, AND TECHNOLOGIES CONFERENCE (PEDSTC), 2022, :448-454

[47] Polynomial-time probabilistic controllability analysis of discrete-time piecewise affine systems [J].

Azuma, Shun-Ichi ;

Imura, Jun-Ichi .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (11) :2029-2046

[48] Robust observer-based control for uncertain discrete-time piecewise affine systems [J].

Yahui Gao ;

Zhiyuan Liu ;

Hong Chen .

Journal of Control Theory and Applications, 2012, 10 (2) :236-243

[49] Symbolic Models and Control of Discrete-Time Piecewise Affine Systems: An Approximate Simulation Approach [J].

Pola, Giordano ;

Di Benedetto, Maria Domenica .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (01) :175-180

[50] Robust observer-based control for uncertain discrete-time piecewise affine systems [J].

Yahui GAO Zhiyuan LIU Hong CHEN AVIC Aviation Industry Corporation of China China Aviation Motor Control System Institute Wuxi Jiangsu ChinaDepartment of Control Science and Engineering Harbin Institute of Technology Harbin Heilongjiang ChinaDepartment of Control Science and Engineering Jilin University Changchun Jilin China .

JournalofControlTheoryandApplications, 2012, 10 (02) :236-243

← 1 2 3 4 5 →