Simulation of hybrid systems

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Personal Sign In. For IEEE to continue sending you helpful information on our products and services, please consent to our updated Privacy Policy. Email Address. Sign In. Symbolic simulation of hybrid systems Abstract: Continuous action systems CAS is a formalism intended for modeling hybrid systems systems that combine discrete control with continuous behaviorand proving properties about the model within refinement calculus.

We use a symbolic manipulation program to build a tool for simulating CAS models by, calculating symbolically the time evolution of the discrete and continuous CAS model functions, as explicit and exact expressions of a continuous time variable. We may then study the time behavior and general properties of the model by plotting these functions with respect to time.

For certain models our tool eliminates the need for introducing tolerances into the model structure. The tool is useful for checking that the model behaves correctly, and we can sometimes study the behavior of CAS models with in principle infinite precision.

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DOI: Taylor and D. TaylorD.

Abstract Earlier research in the modeling and simulation of hybrid systems led to the development of a general hybrid systems modeling language HSML that has been described elsewhere. Effort is underway to implement this concept in software. First, the standard matlab model framework and integration algorithms were extended to support state-event handling in continuous-time components, including approaches for dealing with vector-field conflicts and changing model order and structure.

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simulation of hybrid systems

Qin, … T. Aspects on simulation of switched bond graphsKrister. Edstr Figures and Topics from this paper.

Citation Type. Has PDF. Publication Type. More Filters. Open Access. View 1 excerpt, cites background. Research Feed. View 1 excerpt. Design of a Real-Time Hybrid Controller. Rigorous hybrid systems simulation with continuous-time discontinuities and discrete-time components. View 1 excerpt, cites methods.

Rigorous hybrid systems simulation of an electro-mechanical pointing system with discrete-time control. References Publications referenced by this paper. Modeling and simulation of hybrid systems.

Simulation of hybrid systems

A modeling language for hybrid systems. Toward a modeling language standard for hybrid dynamical systems. Guidelines for modelling and simulation of hybrid systems. View 1 excerpt, references methods. Modeling Language for Hy- brid Systems. Related Papers. By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy PolicyTerms of Serviceand Dataset License.Hybrid systems-those composed of the interaction of discrete and continuous inputs, outputs, states, and dynamic equations-are an important class of models of complex, real-world phenomena.

However, the simulation tools currently available seem to be 1 ad hoc retro fitting of existing packages, 2 hastily-built new languages, or 3 specialized software for particular subclasses e. Our goal is to produce fast, high fidelity simulations of networks of a very broad class of hybrid systems in a user-friendly environment. In this paper, we first review expertise in the mathematical modeling of hybrid systems, viz. Leveraging these, we are led to our main contribution: a general set of hybrid systems model classes which encompass HDS and hence several other models popularized in the literature that combine finite automata and discrete event systems with ordinary differential ODES and differential algebraic equations DAEs.

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simulation of hybrid systems

Sontag, editors. Springer, New York, Google Scholar. Anstaklis, W. Kohn, A. Nerode, and S. Sastry, editors. Antsaklis, J. Stiver, and M. Hybrid system modeling and autonomous control systems. In Grossman et al. Examples of stabilization with hybrid feedback.

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System Dynamics UK Webinar - Hybrid Systems Simulation Models

David Copp. Ricardo Sanfelice. Sanfelice David A.

Distributed simulation of hybrid systems with AnyLogic and HLA

This toolbox is capable of comput- differential equations. The toolbox is suitable Kutta, multi-step methods, such as Adams method and back- for the simulation of hybrid systems with different type of ward differentiation, and their variable step versions.

When, trajectories, including those that are Zeno and that have in addition to continuous behavior, the model incorporates multiple jumps at the same instant.

It is also capable of variables that exhibit jumps, advanced integration methods simulating hybrid systems without inputs, with inputs, as are needed. Numerous software packages have been recently well as interconnections of hybrid systems. The structure, developed for such class of systems, including Modelica [6], components, and usage of the simulation scripts within the Ptolemy [12], Charon [2], HYSDEL [17], and HyVisual [11], toolbox are described.

Examples are included to illustrate to just list a few. Significant progress has been also made in the main capabilities of the toolbox. This research of systems that can be modeled within the hybrid equations has been partially supported by the National Science framework; see [9, 8] for more examples.

Among several things, the HyEQ Tool- box has the following components and features: 1 A Matlab Permission to make digital or hard copies of all or part of this work for script for simulation of hybrid equations without inputs and personal or classroom use is granted without fee provided that copies are a Simulink library for simulation of hybrid equations with in- not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page.

Formal definitions of simulated trajectories or solu- tions of hybrid systems. In Section 2, the main components tions and dynamical properties of the discretization 5 - 6 of the toolbox are described. In Section 3, examples illus- of H can be found in [15].

Simulink library and associated Matlab scripts for simula- tion of hybrid equations within Simulink, called HyEQ Sim- 2. Next, we describe these scripts as well as common plotting functions. Its output is the. During flows, the trajectory x satisfies the otherwise. Its output is the value of the jump over the intervals of flow while, at jumps, it satisfies the map g evaluated at xs. Its output is equal to 1 if the state Over a finite amount of flow and a finite number of jumps, belongs to D or equal to 0 otherwise.

simulation of hybrid systems

In this way, the jumps shall occur. More precisely, given an input u, the D, or neither. The function fs mented as Matlab functions as well as simulation param- is the resulting discretized flow map obtained when em- eters. For instance, when the integration scheme is initial and final values of the flow variable t, i. Internals of integrator system right. When no priority is selected, g.

The iv The jump set is implemented in an Embedded Matlab parameter options configures the relative tolerance, maxi- function block executing the function D. Its output solver. This block also The HyEQsolver. The Mat- with the state trajectory. The internal components of this lab script run. This script can also be used to plot the computed trajectories after the simulation is com- 2.

This block defines the continuous-time CT dynamics by assembling the time derivative of t, j, and x.

The parameters 2.A large class of systems being developed has both continuous time and discrete time behavior. In fact, any system that interacts with physical world falls in that class. Chemical, Automotive, Military, Aerospace are areas most frequently mentioned in this respect. To model such systems successfully and to get accurate and reliable results from simulation experiments one needs an executable language naturally describing hybrid behavior, and a simulation engine capable of simulating discrete events interleaved with continuous time processes.

simulation of hybrid systems

Additional problems arise with simulating hybrid systems in a distributed environment. In the paper we present AnyLogica tool for modeling and simulation of hybrid systems and a way of HLA support integration in the tool simulation engine. To demonstrate AnyLogic ability to model and simulate hybrid systems, we present a simple example — two tanks problem.

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This research shows that the combination of the agent-based modeling with other simulation approaches simplifies the process of designing simulation models and increases their visibility.

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