Ricardo Sanfelice
ABSTRACT
This paper describes the Hybrid Equations (HyEQ) Toolbox implemented in Matlab/Simulink for the simulation of hy- brid dynamical systems. This toolbox is capable of comput- ing approximations of trajectories to hybrid systems given in terms of differential and difference equations with con- straints, called hybrid equations. The toolbox is suitable for the simulation of hybrid systems with different type of trajectories, including those that are Zeno and that have multiple jumps at the same instant. It is also capable of simulating hybrid systems without inputs, with inputs, as well as interconnections of hybrid systems. The structure, components, and usage of the simulation scripts within the toolbox are described. Examples are included to illustrate the main capabilities of the toolbox.
- A. Abate, A. D. Ames, and S. S. Sastry. Error bounds based stochastic approximations and simulations of hybrid dynamical systems. In Proc. 25th American Control Conference, pages 4742--4747, 2006.Google Scholar
Cross Ref
- R. Alur, T. Dang, J. Esposito, Y. Hur, F. Ivancic, V. Kumar, I. Lee, P. Mishra, G. J. Pappas, and O. Sokolsky. Hierarchical modeling and analysis of embedded systems. Proc. of the IEEE, 91:11--28, 2003.Google ScholarCross Ref
- U. M. Ascher and L. R. Petzold. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. SIAM, 1998. Google ScholarDigital Library
- M. K. Camlibel, W.P.M.H. Heemels, and J.M.H. Schumacher. Consistency of a time-stepping method for a class of piecewise-linear networks. IEEE Trans. Circ. Syst. I, 49(3):349--357, 2002.Google ScholarCross Ref
- D. A. Copp and R. G. Sanfelice. On the effect and robustness of zero-crossing detection algorithms in simulation of hybrid systems jumping on surfaces. In Proceedings of the American Control Conference, pages 2449--2454, 2012.Google ScholarCross Ref
- H. Elmqvist, S.E. Mattsson, and M. Otter. Modelica: The new object-oriented modeling language. In Proc. of 12th European Simulation Multiconference, 1998.Google Scholar
- J.M. Esposito, V. Kumar, and G.J. Pappas. Accurate event detection for simulating hybrid systems. In Hybrid Systems: Computation and Control: 4th International Workshop, pages 204--217, 2001. Google ScholarDigital Library
- R. Goebel, R. G. Sanfelice, and A. R. Teel. Hybrid Dynamical Systems: Modeling, Stability, and Robustness. Princeton University Press, 2012.Google Scholar
- R. Goebel, R.G. Sanfelice, and A.R. Teel. Hybrid dynamical systems. IEEE Control Systems Magazine, pages 28--93, 2009.Google ScholarCross Ref
- K.H. Johansson, J. Lygeros, S. Sastry, and M. Egerstedt. Simulation of Zeno hybrid automata. In Proc. 38th IEEE Conference on Decision and Control, volume 4, pages 3538--3543, 1999.Google ScholarCross Ref
- E. Kofman. Discrete event simulation of hybrid systems. SIAM Journal on Scientific Computing, 25(5):1771--1797, 2004. Google ScholarDigital Library
- E. A. Lee and H. Zheng. Operational semantics for hybrid systems. In Hybrid Systems: Computation and Control: 8th International Workshop, pages 25--53, 2005. Google ScholarDigital Library
- J. Liu and E. A. Lee. A component-based approach to modeling and simulating mixed-signal and hybrid systems. ACM Transactions on Modeling and Computer Simulation, 12(4):343--368, 2002. Google ScholarDigital Library
- J. Liu, X. Liu, T. J. Koo, B. Sinopoli, S.Sastry, and E. A. Lee. A hierarchical hybrid system model and its simulation. In Proc. 38th IEEE Conf. Dec. Contr., volume 4, pages 3508--3513, 1999.Google Scholar
- P.J. Mosterman and G. Biswas. A hybrid modeling and simulation methodology for dynamic physical systems. Simulation, 78:5--17, 2002.Google ScholarCross Ref
- R. G. Sanfelice and A. R. Teel. Dynamical properties of hybrid systems simulators. Automatica, 46(2):239--248, 2010. Google ScholarDigital Library
- A. M. Stuart and A.R. Humphries. Dynamical Systems and Numerical Analysis. Cambridge University Press, 1996.Google Scholar
- F.D. Torrisi and A. Bemporad. HYSDEL - A tool for generating computational hybrid models for analysis and synthesis problems. IEEE Trans. Control Systems Technology, 12:235--249, 2004.Google ScholarCross Ref
Index Terms
- A toolbox for simulation of hybrid systems in matlab/simulink: hybrid equations (HyEQ) toolbox
Recommendations
The influence of modeling approach for the MIMO closed-loop systems on the results of simulation in Simulink
Proceedings of the 15th WSEAS international conference on SystemsThe paper reports results of comparison of the three approaches for the simulation of the continuous time closed-loop multi input multi output (MIMO) system. In this case the system is described by two firstorder differential equations and represents ...
PID Control of Inverted Pendulum Using Adams and Matlab Co-Simulation
ICCMA '16: Proceedings of the 4th International Conference on Control, Mechatronics and AutomationThis research is aimed at developing a multi-body simulation model and control of an inverted pendulum. A virtual prototype of the inverted pendulum is built by using MSC Adams software and the plant model is exported to MATLAB. It is co-simulated in ...
Simulation based neuro-fuzzy hybrid intelligent PI control approach in four-area load frequency control of interconnected power system
This paper presents a novel control approach of hybrid neuro-fuzzy (HNF) for load frequency control (LFC) of four-area power system. The advantage of this controller is that it can handle the non-linearities, and at the same time it is faster than other ...
Comments