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
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
收藏
页码:41 / 57
页数:17
相关论文
共 50 条
[31]   Finite-State Simulations and Bisimulations for Discrete-Time Piecewise Affine Systems [J].
Mirzazad-Barijough, Sanam ;
Lee, Ji-Woong .
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, :8020-8025
[32]   H∞ model predictive control for constrained discrete-time piecewise affine systems [J].
Esfahani, Peyman Sindareh ;
Pieper, Jeffery Kurt .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (06) :1973-1995
[33]   Robust Stability and Performance Analysis of Discrete-Time Piecewise Affine Systems with Disturbances [J].
Mirzazad-Barijough, Sanam ;
Lee, Ji-Woong .
2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, :4229-4234
[34]   Robust Stabilization of Discrete-Time Piecewise Affine Systems Subject to Bounded Disturbances [J].
Bardakci, I. E. ;
Lee, J. -W. ;
Lagoa, C. .
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, :7252-7257
[35]   Control of Discrete-Time Piecewise Affine Probabilistic Systems using Reachability Analysis [J].
Asselborn, Leonhard ;
Stursberg, Olaf .
2016 IEEE CONFERENCE ON COMPUTER AIDED CONTROL SYSTEM DESIGN (CACSD), 2016, :661-666
[36]   Optimal Discrete-time Integral Sliding Mode Control for Piecewise Affine Systems [J].
Olfa Jedda ;
Ali Douik .
International Journal of Control, Automation and Systems, 2019, 17 :1221-1232
[37]   H∞ output feedback control for constrained discrete-time piecewise affine systems [J].
Wang, Juan ;
Du, Haiying .
CEIS 2011, 2011, 15
[38]   Optimal Discrete-time Integral Sliding Mode Control for Piecewise Affine Systems [J].
Jedda, Olfa ;
Douik, Ali .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2019, 17 (05) :1221-1232
[39]   Deciding stability and mortality of piecewise affine dynamical systems [J].
Blondel, VD ;
Bournez, O ;
Koiran, P ;
Papadimitriou, CH ;
Tsitsiklis, JN .
THEORETICAL COMPUTER SCIENCE, 2001, 255 (1-2) :687-696
[40]   Well-posedness of a class of piecewise affine systems [J].
Imura, J .
CONTROL AND MODELING OF COMPLEX SYSTEMS: CYBERNETICS IN THE 21ST CENTURY: FESTSCHRIFT IN HONOR OF HIDENORI KIMURA ON THE OCCASION OF THE 60TH BIRTHDAY, 2003, :213-228