TP Tool: pend2_dx(u, x) - File Exchange

Code covered by the BSD License

Highlights from
TP Tool

CNO(U1,h,hh,nveletlen,nzavar,... k�zel-NO dekompoz�ci� r-1 dimenzi�ra
[U2,v]=polarorto(U1,polarv) az U1 ponthalmazt burkolja polarv alaku tetra
basis(A, wtype, ia) BASIS Basis of the column space of a matrix
box_decomp(U) BOX_DECOMP
close_decomp(U, n) CLOSE_DECOMP close hull decomposition
coretensor(U, D, dep) Calculate HOSVD core tensor from orthonormal weighting functions and sampled data
decomp(U, wtype) DECOMP Decomposing a matrix with orthonormal columns
dep2idx(dep) DEP2IDX Convert dependency data into indices (used internally)
genhull(U, wtype) GENHULL Generate "hull" matrices from orthonormal matrices
hosvd(T, dim, tol) HOSVD High Order SVD of a multidimensional array
hosvd_lpv(data, dep, gridsize... HOSVD of a discretized lpv model
hull_manip(U, Uhat) HULL_MANIP gives transform to achieve prescribed hull
ino(U) INO - m
lmi_asym(lmi) LMI_ASYM
lmi_asym_decay(lmi, alpha) LMI_ASYM_DECAY
lmi_input(lmi, umax, phi) LMI_INPUT
lmi_solve(lmi) LMI_SOLVE
lmi_stab(A, alpha) LMI_STAB - check lyapunov stab. for polytopic sys. (alpha = decay rate)
lmistruct(S, n) LMI
ndim_expand(A, v) NDIM_EXPAND expand an array in a new dimension by multiplying it with a vector
ndim_fold(M, dim, siz) NDIM_FOLD Restore a matrix into a multidimensional array with the given size
ndim_unfold(T, dim) NDIM_UNFOLD Layout an array in a given dimension to a matrix
no(U) NO 'no' type decomposition of an 'snnn' matrix
nobasis(A, ia) NOBASIS Column space basis with SNNN and NO properties.
norma=closeness(polarv,U1,h,h... U1nxr-es m
opt_decomp(U, Uhat) OPT_DECOMP optimal decomposition to achieve prescribed values
parameter(r,M,Omega); IND2SUB Multiple subscripts from linear index.
pend2_control(x)
pend2_dx(u, x)
pend2_dx(u, x)
pend_control(x)
pend_dx(u, x)
plothull(U, domain) PLOTHULL Plot weighting functions
printtp(S) PRINTTP Print LTI models of a TP model
querylpv(lpv, p) QUERYLPV Query an LPV model at given parameter point
querytp(S, U, domain, p) QUERYTP Query TP model at a given parameter point
queryw1(U, domain, p) QUERYW1 Query weight function values at given parameter point
rnodiff(U, c)
rnoino(U0) RNOINO - m
sampling_dep(f, depidx, domai... SAMPLING_DEP Sampling a (multivariate) function
sampling_func(f, domain, grid... SAMPLING_FUNC Sampling a (multivariate) function
sampling_lpv(lpv, dep, domain... SAMPLING_LPV Sampling an LPV model
sampling_vec(f, domain, grids... SAMPLING_VEC Sampling a vector-vector function
scale_core(D, v) SCALE_CORE Scale each element in a tensor
scale_lpv(D, v) SCALE_LPV Scale each element of an LPV model
shift_core(D, v) SHIFT_CORE Shift the elements of a tensor
shift_lpv(D, v) SHIFT_LPV Shift a sampled LPV model by a vertex system
sinc(x)
sinc(x)
snnn_decomp(U) SNNN_DECOMP snnn decomposition of a matrix with orthogonal columns.
snnnbasis(U) SNNNBASIS Column space basis with SNNN property.
svdtrunc(A, tol) SVDTRUNC Truncated SVD decomposition.
topsys(S, n) TOPSYS Converts a polytopic TP model into psys form
tora_control(x)
tora_dx(u, x)
tp_cl(S, Asize, K) TP_CL C losed loop TP system
tpcontroller(p, x, K, U, doma... TPCONTROLLER Outputs the control signal for a TP controller at a given state
tperror(lpv, S, U, domain, n) TPERROR Calculate the error of the discretized TP model at random points
tprod(S, U) TPROD Tensor product of an ndim-array and multiple matrices
tprod1(S, U, n) TPROD1 Tensor Product of a tensor and a matrix
tptrans(lpv, dep, domain, gri... TPTRANS TP model transformation
wing_control(x)
wing_dx(u, x)
wshift(type,x,p) WSHIFT Shift Vector or Matrix.
hosvd_test.m
hull_test.m
hull_test2.m
hull_test3.m
manip_test.m
manip_test2.m
pend2_design.m
pend2_lmi.m
pend2_lpv.m
pend2_sim.m
pend2_tp.m
pend_design.m
pend_lmi.m
pend_sim.m
pend_tp.m
sampling_test.m
tora_design.m
tora_lmi.m
tora_lpv.m
tora_sim.m
tora_tp.m
wing_design.m
wing_lmi.m
wing_lpv.m
wing_sim.m
wing_tp.m
pend
pend2
tora
wing
View all files

from TP Tool by P. Baranyi, Z. Petres, Sz. Nagy
MATLAB Toolbox providing the functions for TP Model Transformation based Control Design

pend2_dx(u, x)
function dx = pend2_dx(u, x) pend2_lpv p = [x(2) x(3) x(5) x(6)]; AB = querylpv(LPV, p); % dx = A x + B u dx = AB*[x; u];

Highlights from TP Tool

Highlights from
TP Tool