Perturb

Base Control Profiles for System excitation

perturb.Periodic(nx=1, nsim=100, numPeriods=1, xmax=1, xmin=0, form='sin', rseed=1)

periodic signals, sine, cosine :param nx: (int) Number signals :param nsim: (int) Number time steps :param numPeriods: (int) Number of periods :param xmax: (int/list/ndarray) signal maximum value :param xmin: (int/list/ndarray) signal minimum value :param form: (str) form of the periodic signal ‘sin’ or ‘cos’ :param rseed: (int) Set random seed

perturb.RandomWalk(nx=1, nsim=100, xmax=1, xmin=0, sigma=0.05, rseed=1)

Parameters:

• nx – (int) State space dimension

• nsim – (int) Number of simulation steps

• xmax – (float) Upper bound on state values

• xmin – (float) Lower bound on state values

• sigma – (float) Variance of normal distribution

• rseed – (int) Set random seed

Returns:

perturb.SplineSignal(nsim=500, values=None, xmin=0, xmax=1, rseed=1)

Generates a smooth cubic spline trajectory by interpolating between data points

Parameters:

• nsim – (int) Number of simulation steps

• values – (np.array) values to interpolate

• xmin – (float) Minimum value of time series

• xmax – (float) Maximum value of time series

• rseed – (int) Set random seed.

Returns:

perturb.Step(nx=1, nsim=100, tstep=50, xmax=1, xmin=0, rseed=1)

step change :param nx: (int) Number signals :param nsim: (int) Number time steps :param tstep: (int) time of the step :param xmax: (int/list/ndarray) signal maximum value :param xmin: (int/list/ndarray) signal minimum value :param rseed: (int) Set random seed

perturb.Steps(nx=1, nsim=100, values=None, randsteps=5, xmax=1, xmin=0, rseed=1)

Parameters:

• nx – (int) Number signals

• nsim – (int) Number time steps

• values – (list/ndarray) sequence of step changes, e.g., [0.4, 0.8, 1, 0.7, 0.3, 0.0]

• randsteps – (int) number of random step changes if values is None

• xmax – (int/ndarray) signal maximum value

• xmin – (int/ndarray) signal minimum value

• rseed – (int) Set random seed

Returns:

perturb.WhiteNoise(nx=1, nsim=100, xmax=1, xmin=0, rseed=1)

White Noise :param nx: (int) Number signals :param nsim: (int) Number time steps :param xmax: (int/list/ndarray) signal maximum value :param xmin: (int/list/ndarray) signal minimum value :param rsee: (int) Set random seed

perturb.sawtooth(nx=1, nsim=100, numPeriods=1, xmax=1, xmin=0, rseed=1)

ramp change :param nx: (int) Number signals :param nsim: (int) Number time steps :param numPeriods: (int) Number of periods :param xmax: (int/list/ndarray) signal maximum value :param xmin: (int/list/ndarray) signal minimum value :param rseed: (int) Set random seed