double
PURPOSE
DOUBLE Function used to access internal properties of the given polytope
SYNOPSIS
function [H,K] = double(P)
DESCRIPTION
CROSS-REFERENCE INFORMATION
This function calls:
- length LENGTH Returns number of regions over which the explicit control law is defined
- end END Returns the last element in a given polytope array
- isfulldim ISFULLDIM Checks if a polytope is full dimensional
- length LENGTH Returns number of elements in a polytope array
This function is called by:
- info INFO Displays more detailed information a given MPT controller
- analyticCenter ANALYTICCENTER Computes an analytic center of a polytope
- distribpoints DISTRIBPOINTS Distribute n points such that distances between them are maximized
- dointersect DOINTERSECT Checks if two polytopes / polyarrays intersect
- getInnerEllipsoid GETINNERELLIPSOID Computes the largest ellipsoid inscribed in a polytope
- getOutterEllipsoid GETOUTTERELLIPSOID Computes the smallest ellipsoid which covers the polytope P
- projection PROJECTION Projection of a polytope or a polytope array
- regiondiffXU REGIONDIFFXU Computes region difference in lifted XU space
- triangulate TRIANGULATE Calculates triangulation of arbitrary polytopes
- union UNION convex union computation
- mpt_buildAdjacency MPT_BUILDADJACENCY Builds adjacency information
- mpt_checkLyapFct MPT_CHECKLYAPFCT Checks if a function is a Lyapunov function for a given ctrlStruct
- mpt_dlyap_infnorm Lyapunov equation with inf-norm for discrete-time LTI systems
- mpt_getCommonSOSLyapFct MPT_GETCOMMONSOSLYAPFCT Calculates Common SOS Lyapunov function for system with additive disturbance
- mpt_getPWALyapFct MPT_GETPWALYAPFCT Calculates PWA Lyapunov function
- mpt_getPWPLyapFct MPT_GETPWPLYAPFCT Calculates Piecewise Polynomial (sum of squares) Lyapunov function
- mpt_getPWQLyapFct MPT_GETPWQLYAPFCT Calculates PWQ Lyapunov function
- mpt_getQuadLyapFct MPT_GETQUADLYAPFCT Computes common Lyapunov function for PWA system
- mpt_getReachSubset MPT_GETREACHSUBSET Computes a subset of P which enters Pfin
- mpt_infset MPT_INFSET Calculates the maximal positively invariant set for an LTI system
- mpt_maxCtrlSet MPT_MAXCTRLSET Computes the maximal robust control invariant set C_inf
- mpt_reachSets MPT_REACHSETS Computes sets of reachable states for a given system / controller
- mpt_removeOverlaps MPT_REMOVEOVERLAPS Removes overlaps from (a set of) polyhedral partitions with associated linear cost
- mpt_searchTree MPT_SEARCHTREE Computes a search-tree for a given explicit solution
- mpt_verify MPT_VERIFY Verifies if states enter a given set in a given number of steps
- mpt_addTset MPT_ADDTSET Adds terminal set constraint to Matrices
- mpt_evalSystem MPT_EVALSYSTEM Extracts data from sysStruct and probStruct structures
- mpt_getCommonLyapFct MPT_GETCOMMONLYAPFCT Computes common Lyapunov function for PWA system
- mpt_greedyMerging MPT_GREEDYMERGING Greedy merging of polyhedra
- mpt_lrs MPT_LRS Matlab implementation of the LRS algorithm
- mpt_mplp_ver1 MPT_MPLP Explicitly solves the given linear program (LP)
- mpt_mplp_ver2 MPT_MPLP Explicitly solves the given linear program (LP)
- mpt_mplp_ver3 MPT_MPLP Explicitly solves the given linear program (LP)
- mpt_mplp_ver4 MPT_MPLP Explicitly solves the given linear program (LP)
- mpt_mplp_ver5 MPT_MPLP Explicitly solves the given linear program (LP)
- mpt_mplp_ver6 MPT_MPLP Explicitly solves the given linear program (LP)
- mpt_mplp_ver7 MPT_MPLP Explicitly solves the given linear program (LP)
- mpt_norm2pwa MPT_NORM2PWA transformes a linear norm into an equivalent PWA fcn representation
- mpt_prepareDU MPT_PREPAREDU Extends system and problem matrices to deal with deltaU constraints
- mpt_prepareTracking MPT_PREPARETRACKING Extends system and problem matrices to deal with tracking
- mpt_randPWASys MPT_RANDPWASYS generates random PWA systems
- mpt_solveLPi MPT_SOLVELPi Interface to various LP solvers (version without errorchecks)
- mpt_update MPT_UPDATE Checks for updates of the Multi-Parametric Toolbox
- hys2pwa HYS2PWA Transformation of HYSDEL model into PWA model
- mpc_buildmatFAST ===============================================================================
- mpt_blockingMatrices MPT_BLOCKINGMATRICES Constructs matrices for the CFTOC problem for move blocking strategies
- mpt_boolMinTime MPT_BOOLMINTIME Computes minimum time controller for systems with discrete inputs
- mpt_constructMatrices MPT_CONSTRUCTMATRICES Constructs matrices for the finite time constrained optimal control problem
- mpt_getInputXU MPT_GETINPUTXU For a given state, extracts the an output from an XUset
- mpt_getStabFeedback MPT_GETSTABFEEDBACK Computes a stabilizing feedback law for a PWA system
- mpt_iterativePWA MPT_ITERATIVEPWA Computes a time-optimal or low-complexity explicit controller for PWA systems
- mpt_mixedMinTime MPT_MIXEDMINTIME Computes minimum time controller for systems with discrete and continuous inputs
- mpt_optBoolCtrl MPT_OPTBOOLCTRL Computes optimal controller for systems with discrete inputs
- mpt_optControlPWA MPT_OPTCONTROLPWA Solves the CFTOC problem for a given PWA system
- mpt_optInfControl MPT_OPTINFCONTROL Solves the infinite-time constrained optimal control problem for LTI systems
- mpt_optMixedCtrl MPT_OPTMIXEDCTRL Computes optimal controller for systems discrete and continuous inputs
- mpt_simplexContr MPT_SIMPLEXCONTR Computes a piecewise affine feedback law defined over simplices
- mpt_solveMPC MPT_SOLVEMPC Solves the on line optimization MPC problem
- mpt_exHyperAdv ===============================================================================
- mpt_optMerge ===============================================================================
- mpt_optMergeDivCon ===============================================================================
- tg_polyreduce
- mpt_delaunay MPT_DELAUNAY Computes the delaunay triangulation of a polytope
- mpt_voronoi MPT_VORONOI Computes the voronoi diagram via mpLP
- mpt_getInnerEllipsoid MPT_GETINNERELLIPSOID Computes the largest ellipsoid inscribed in a polytope
- mpt_getOutterEllipsoid MPT_GETOUTTERELLIPSOID Computes the smallest ellipsoid which covers the polytope P
- mpt_plotArrangement MPT_PLOTARRANGEMENT Plots hyperplane arrangement of a polytope in H-representation
- mpt_computeTrajectory MPT_COMPUTETRAJECTORY Calculates time evolution of state trajectories subject to control
- mpt_control MPT_CONTROL Main control routine. Computes explicit controller for a given problem
- mpt_getInput MPT_GETINPUT For a given state, extracts the (optimal) output from a controller structure
- mpt_mpqp MPT_MPQP Explicitly solves the given quadratic program (QP)
- mpt_solveMILP MPT_SOLVEMILP Interface to various MILP solvers
- mpt_solveMIQP MPT_SOLVEMIQP Interface to various MIQP solvers
- mpt_solveQP MPT_SOLVEQP Interface to various QP solvers
Generated on Thu 30-Mar-2006 10:26:47 by m2html © 2003