continuousTimeMdss

Simulation object for a continuous-time mdss model.

Source: src/simulator/@continuousTimeMdss/continuousTimeMdss.m

Description

continuousTimeMdss is an mtiSimulator subclass that carries out the simulation of a continuous-time mdss model (one whose timeStepSize == 0). It is normally constructed by msim, which packs the model, the initial state, the input trajectory and the solver options into the object, runs the simulation in the constructor, and reads the results back from the time, variableTrajectory and eventTime properties. Users are advised to call msim rather than build this object directly.

The model is the implicit multilinear differential-algebraic system

$\Phi_{\mathrm{eq}}\, m(\dot x, x, u, y, z) = 0, \qquad \Phi_{\mathrm{ineq}}\, m(\dot x, x, u, y, z) \le 0,$

with monomial vector $m$ and parameter split $\Phi=\Phi_c+\Phi_{+1}-\Phi_{-1}$ . The constructor dispatches to a solver based on the model’s structure:

Non-hybrid (nBinary == 0 and nInequality == 0): a purely continuous differential-algebraic system solved with MATLAB’s fully-implicit ode15i integrator via simulateNonHybrid (or simulateNonHybridTT for a tensor-train model).
Hybrid (nBinary > 0 and nInequality > 0): a switched system whose binary signals flip when inequality switching surfaces are crossed, solved by the event-driven total-derivative routine continuousSimTotalDerivative.

A model with only binaries or only inequalities (but not both) has no simulation routine and raises an error.

Properties

Property	Description
`mtiModel`	The continuous-time `mdss` / `mtiModel` being simulated.
`initialState`	Initial state vector $x_0$ .
`initialAlgebraicGuess`	Initial guess for the algebraic signals $y$ .
`initialBinaryGuess`	Initial guess for the binary signals $z$ .
`inputTime`	Time samples of the input trajectory.
`inputTrajectory`	Input values $u$ , one column per input, one row per input-time sample.
`time`	Result: simulation time vector.
`variableTrajectory`	Result: signals over `time`, ordered `[x, y, z]`; binary columns are resampled onto the full time vector, not just event times.
`functionTrajectory`	Result: recorded function values (e.g. equality/inequality residuals).
`eventTime`	Result: times at which a mode switch (binary flip) occurred.
`solverOptions`	Solver option struct passed through to the integrator.

Methods

Method	Description
`simulateNonHybrid`	Solve a non-hybrid model with `ode15i`.
`continuousSimTotalDerivative`	Solve a hybrid model with event detection and mode switching.
`eventTotalDerivative`	Resolve the mode-switch problem and consistent initial slopes at an event.
`solveStepBruteForce`	Evaluate one step, enumerating binary combinations per subproblem.
`solveSubProblemFixZ`	Solve a subproblem with the binaries held fixed.
`solveSubProblemVariableZ`	Solve a subproblem allowing the binaries to vary.

continuousTimeMdss

Description

Properties

Methods

See also