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PSS Math Module
MATLAB toolboxes for aerospace analysis
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PSS Math Module
MATLAB toolboxes for aerospace analysis
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| ▼ Core | |
| ▼ Math | |
| ► Analysis | Numerical analysis functions |
| Armijo.m | Use the Armijo rule to compute a stepsize, alpha: |
| AutoCorr.m | Generates the autocorrelation function for the input sequence |
| Binomial.m | The binomial expansion of (x + y)^n |
| CFract.m | Computes the value of a continued fraction of the form |
| CHarm.m | Generate a series of cosine harmonics of the arguments |
| CHarmD.m | Generate a series of cosine harmonics of the arguments |
| DLyapG.m | Check the dimensions for consistency |
| FitPair.m | Demo |
| FourierSeries.m | If no inputs do a demo |
| Heavisde.m | Heavside function |
| HypgF1.m | Beta 1 |
| HypgFr.m | Beta 1 |
| HypgMr.m | Beta 1 |
| Interp1D.m | Performs a linear interpolation: |
| InterpolateCircle.m | Interpolates between x1 and x2 when x1 and x2 lie in a circle |
| IntExpR.m | Find the delta Xs |
| IntExt.m | Find the delta Xs and delta Ys |
| Jacobian.m | Compute the value of the function f at the set point |
| JacobianODE.m | Compute the value of the function f at the set point |
| JCart2Sp.m | At the poles |
| JSp2Cart.m | Jacobian for converting from spherical to cartesian coordinates |
| LogBaseN.m | Demo |
| Logistic.m | Demo |
| LyapG.m | Check the dimensions for consistency |
| MakeDistribution.m | Generate a list of random variables with some specified distribution |
| NewStats.m | Calculates the new standard deviation and average |
| NewtonsMethod.m | Defaults |
| OptimalTrajectory.m | Demo |
| Pade.m | Create a Padé approximant of exp(sT) |
| PAL.m | Error Testing |
| PDAL.m | Error Testing |
| PGauss.m | Error Testing |
| SCHarm.m | Generate a series of sine and cosine harmonics of the arguments |
| SCHarmD.m | Generate a series of sine and cosine harmonics of the arguments |
| SCSeries.m | Compute a series a + sum(bn sin(n wo t)) + sum(cn cos(n wo t)) |
| SHarm.m | Generate a series of sine harmonics of the arguments |
| SHarmD.m | Generate a series of sine harmonics of the arguments |
| Simplex.m | Built-in Demo |
| Simplex2.m | Constants |
| SimplexOld.m | Constants |
| SimplexScaling.m | Create the new arrays |
| SphJacobian.m | Useful combinations |
| SubPoly.m | Subtract two polynomials so that c = a - b |
| WaveletMorlet.m | Performs a wavelet transform using a Morlet Wavelet |
| WorstFirstAssignment.m | Initialize |
| ► AStar | Optimal path planning using A* algorithm |
| AStarSearch.m | Finds the optimal path using A* |
| DeltaAngleForNewRADec.m | Demo |
| GenerateGrid.m | Demo |
| GlobeGrid.m | Demo |
| GridPathCost.m | PSS internal file version information |
| GridSuccessorNodes.m | The grid is in a one dimensional array |
| GridTraverseCost.m | Diagonal costs are more than straight cost |
| ManeuverCost.m | PSS internal file version information |
| ManeuverCost3D.m | PSS internal file version information |
| ManeuverSuccessorNodes.m | First branch for north pole, second for south pole |
| ManeuverSuccessorNodes3D.m | Adjust the node for the level |
| SphericalGrid.m | Demo |
| TransformGridCoordinates.m | First path is 1D to 2 |
| ► Demos | Math Demos |
| ► Analysis | Analysis demos |
| SimplexConstraintRelaxationDemo.m | Solve an infeasible LP with simplex through constraint relaxation Published Demo |
| SimplexScalingDemo.m | Solve a linear program with Simplex |
| THyperG.m | Demonstrate hypergeometric functions |
| ► AStar | AStar demos |
| AStarSearch3DManeuverDemo.m | Demonstrate A* for a close orbital maneuver |
| AStarSearchGrid1Demo.m | Test AStarSearch using a grid with obstacles |
| AStarSearchGrid2Demo.m | Test AStarSearch using a grid with more obstacles |
| AStarSearchManeuverDemo.m | Demonstrate A* for a close orbital maneuver |
| AStarSearchOrderGridDemo.m | Test AStarSearch using a grid with randomly placed obstacles |
| AStarSearchRandomGridDemo.m | Test AStarSearch using a grid with randomly placed obstacles |
| ► FDIR | FDIR demos |
| DCMotorSim.m | Simulates 2 DC Motors with failure detection logic |
| DetectionFilterBuilderDemo.m | Simulate a detection filter using the DetectionFilterBuilder GUI |
| FDIROLASim.m | Test Fault Diagnosis using online approximators |
| OrbitFDIRDemo.m | Demonstrate an orbit detection filter for a spacecraft with one thruster |
| OrbitFDIRPulseDemo.m | Demonstrate an orbit detection filter with random thrust pulses |
| SpinnerFDIRDemo.m | Demonstrate a detection filter for a spinning spacecraft |
| ► Probability | Probability demos |
| DoggyProblem.m | Demonstrate the BinomialTheorem for the doggy problem |
| GunProblem.m | Demonstrate the BinomialTheorem for the gun problem |
| ► FDIR | Detection filters including a nonlinear spring example |
| BuildLinearDF.m | Convert to statespace form |
| DCMotorDetectionFilter.m | Implements a DC motor detection filter |
| DCMotorFailures.m | Triggers a failure at time tFail |
| DCMotorParitySpace.m | Computes the residuals for two DC motors |
| DetectionFilter.m | Extract the state space matrices |
| DetectionFilterBuild.m | Get the state matrices |
| DetectionFilterBuilder.m | PSS internal file version information |
| DetectionFilterSimulation.m | Actuators |
| DetectionFilterUnnormalized.m | Extract the state space matrices |
| DualDCMotors.m | Simulates two DC motors |
| NonlinearEstimator.m | Implements an online approximator for a spring mass damper system |
| NonlinearSpring.m | Right-hand-side of a nonlinear spring dynamics model |
| NonlinearSpringFault.m | Nonlinear spring fault |
| NormalizeMatrix.m | Normalizes a state space system for use with a detection filter |
| OnlineApproximator.m | PSS internal file version information |
| ProbabilityOfFailure.m | Demo |
| RadialBasisFunction.m | Implements a radial basis function for online estimators |
| TMatrix.m | Example is an L1011 |
| ► Geometry | Geometric routines |
| AngleSepFromRotation.m | Demo |
| BilinearInterpolation.m | Demo |
| FindValidAngleRange.m | Find valid range of rotation angles that satisfy separation constraints |
| FitEllipse.m | Demo |
| InsideAngleRange.m | Demo |
| IntersectLineAndCone.m | Compute the intersection of a line and a cone |
| IntersectLineAndEllipsoid.m | Compute the intersection of a line and ellipsoid |
| MergeAngleRange.m | Demo |
| Perpendicular.m | Demo |
| PointInGridInTriangle.m | Demo |
| PointInPolygon.m | Demo |
| PointInTriangle.m | Demo |
| SegmentIntersection.m | Demo |
| SurfaceAreaEllipsoid.m | First and second kind |
| UnitVectorAverage.m | Demo |
| Help | |
| ► Integration | Custom numerical integration routines |
| Euler.m | PSS internal file version information |
| FracDI.m | Fractional order derivative or integral |
| RK2.m | Second order Runge-Kutta |
| RK4.m | PSS internal file version information |
| RK45.m | Constants |
| RK4TI.m | PSS internal file version information |
| TwoDSimpsonIntegration.m | Uses 2D Simpson's Rule to integrate an area |
| ► Linear | Linear Algebra |
| BlockDiagonal.m | Generate a block diagonal matrix |
| ColCompR.m | PSS internal file version information |
| ComplexToReal.m | Demo |
| Cross.m | Vector cross product for multicolum arrays |
| DelLZ.m | PSS internal file version information |
| Dot.m | Dot product with support for arrays |
| DUnit.m | Check input lists |
| DupVect.m | Duplicate vector n times |
| Factorl.m | Computes the factorial matrix for a matrix |
| GenSub.m | PSS internal file version information |
| GJInv.m | Append the identity matrix |
| Inv3x3.m | The determinant |
| InvP.m | Find indices for the other rows |
| IsSing.m | PSS internal file version information |
| IsZero.m | PSS internal file version information |
| LeastSq.m | Make x and y columns |
| Mag.m | Magnitude of a set of vectors |
| Orthogonalize.m | Demonstration output |
| Product.m | PSS internal file version information |
| RowCompU.m | Computes the upper row compression of a matrix |
| Sep.m | PSS internal file version information |
| Skew.m | Converts a vector into a skew symmetric matrix |
| SkewSq.m | Computes the product of two skew symmetric matrices derive from vectors |
| SkewSymm.m | PSS internal file version information |
| SumC.m | PSS internal file version information |
| SumV.m | PSS internal file version information |
| SXV.m | Multiplies a scalar times a vector |
| Unit.m | Start with NaN |
| ► MathUtils | Generic math utilities |
| DeltaEig.m | Simple example |
| FindIfInBetween.m | Demo |
| FloatToTwosComplement.m | Demo |
| FTrunc.m | PSS internal file version information |
| Odd.m | PSS internal file version information |
| R2P5.m | Demo |
| Ramp.m | PSS internal file version information |
| Ramps.m | Demo |
| RoundN.m | PSS internal file version information |
| TriangleWave.m | Demo |
| TwosComplementToFloat.m | Demo |
| ► Probability | Probability including Markov, Gaussian routines |
| BinomialTheorem.m | Computes the binomial theorem |
| CableTensionExample.m | PSS internal file version information |
| Combinations.m | PSS internal file version information |
| ConfidenceInterval.m | Computes the confidence interval |
| CovarianceRHS.m | Generates the covariance derivative |
| CRand.m | Covariance matrix transformation |
| EMarkov.m | PSS internal file version information |
| ErrorCombination.m | Demo |
| GaussianCPDF.m | Cumulative probability density function for a Gaussian |
| GaussianPDF.m | PSS internal file version information |
| GaussianRSG.m | Gaussian Random Sequence Generator Using the Box-Mueller Transform |
| Markov.m | Put everything into columns |
| NormalDistribution.m | Demo |
| Random.m | PSS internal file version information |
| RandP.m | Demo |
| RandPM.m | PSS internal file version information |
| RandPN.m | Demo |
| RMarkov.m | PSS internal file version information |
| SignTest.m | Demo |
| SMarkov.m | PSS internal file version information |
| ► Solvers | Solvers and root finding |
| BisectionZero.m | Check for no boundary crossing first |
| LEPDS.m | Find g and d where g*diag(d)*g' = a |
| LSSVD.m | Condition number |
| ModNewt.m | Check for the maximum number of iterations |
| NewtRaph.m | Defaults |
| NLEqSolver.m | PSS internal file version information |
| NLEqSolverWrapper.m | Defaults |
| Secant.m | Check for the maximum number of iterations |
| ► Trigonometry | Trigonometry |
| ACosD.m | PSS internal file version information |
| ACot2.m | PSS internal file version information |
| ACot2D.m | PSS internal file version information |
| ACotD.m | PSS internal file version information |
| ACscD.m | PSS internal file version information |
| ASecD.m | PSS internal file version information |
| ASinD.m | PSS internal file version information |
| ATan2D.m | Inverse tangent -180 < z < 180 |
| ATanD.m | Inverse tangent with output in degrees |
| CosD.m | PSS internal file version information |
| CosX.m | PSS internal file version information |
| CotD.m | PSS internal file version information |
| CscD.m | PSS internal file version information |
| DeltCirc.m | Reduce to +/- 2 pi |
| LinearSinCosToQuadCos.m | Demo |
| SecD.m | Secant |
| SinD.m | PSS internal file version information |
| SinX.m | PSS internal file version information |
| SolveLinearSinCos.m | Demo |
| TanD.m | PSS internal file version information |
| TrigReduction.m | Demo |
| UnwrapPhase.m | PSS internal file version information |
| VerSin.m | Produces a smoothly varying function from 0 to xMax |
| WrapPhase.m | PSS internal file version information |
1.9.2