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Highlights from
Dynamic Optimization

C=dblin_c(p,N) ...
Ki=interpk(tk,K,t)
[Hu,phi,la0,psi]=odehnuv(name...
[Hu,phi,psi,la0]=odeh(name,u,... ODEH - Bkwd 4th order fixed stepsize Runge-Kutta integ. of adjoint
[L,f,Ly,fy,Lyy,fyy]=clmb727(y...
[L,f,Ly,fy,Lyy,fyy]=cltn(y) ...
[L,f,Ly,fy,Lyy,fyy]=maxclmb2(...
[L,f,Ly,fy,Lyy,fyy]=minturn2(...
[L,f,Ly,fy,Lyy,fyy]=rctelps2(... Subroutine for Pb. 1.5.2 with POPN; rectangular box of max volume
[L,y,ev,evec]=popn(name,y,tol... POPN - Newton-Raphson version of POP.
[L,y,f]=pop(name,y,k,tol,eta,... POP - gradient code for Para. Opt. Pbs. w. equality constraints
[Ph,Ga,Qd,Nd,Rd]=cvrtj(A,B,Q,...
[c,ceq,T,x,Tu,u]=ip_c(ts,ep,u... Subroutine for Pb. 9.3.13; erection of an inverted pendulum using
[c,ceq,dc,dceq]=slbt2_c(y) ... Subroutine for Example 1.5.1; sailboat max velocity using FMINCON;
[c,ceq,s]=airc_c(p,s0,Vc,lc) ...
[c,ceq,t,s]=mart_c(p,s0) ...
[c,ceq,th,ph]=dgeot_c(p,th0,t...
[c,ceq,th,q,y,v,u]=ip_c1(p,ep... Subroutine for Pb. 9.3.13b; erection of an inverted pendulum using
[c,ceq,th,q,y,v,u]=ip_c2(p,ep...
[c,ceq,u,v,x,y]=dtdpt_c1(p,yf...
[c,ceq,us,ue]=robot_c(p,N,D) Subroutine for Pb. 9.3.14; constraints for min time pick-and-place
[c,ceq,x,y,ps,u]=tt_fg(p,N,sf...
[c,ceq,x,y]=dfrmt_c(p,xf,yf)
[c,ceq]=cantruss_c(p,W)
[c,ceq]=climb_c(p,N,Vo,ho,Vf,...
[c,ceq]=clmb_727_c(p,flg) ...
[c,ceq]=cltn_c(y,ga,flg) ...
[c,ceq]=dblint_c(p,s0)
[c,ceq]=dvdp_c(p,N,h)
[c,ceq]=f4_cruse_c(p,flg) ...
[c,ceq]=gld_c(p,s0) ...
[c,ceq]=gldb_c(p,s0) ...
[c,ceq]=glid1_c(p) Subroutine for p9_3_16.m; max time glide at const. altitude; 8/10/01
[c,ceq]=glid_c(p,h0,V0) ...
[c,ceq]=incantr_c(p,W)
[c,ceq]=invp_c(p,th0,q0,N) ...
[c,ceq]=invtruss_c(p,W)
[c,ceq]=ipe_c(p,s0)
[c,ceq]=marc_c(be,s0,tf) ...
[c,ceq]=maxcltn1_f(p,ga,flg)
[c,ceq]=mdr_c(p,flg) ...
[c,ceq]=mehra1_c(p)
[c,ceq]=mehra_c(p)
[c,ceq]=mfuel_c(p,N,v0,y0) ...
[c,ceq]=min_turn_c(p,ga,flg) ...
[c,ceq]=mindist_c(p) Subroutine for p1_3_04; min distance between 2 lines in 3D;
[c,ceq]=nlpb_c(p)
[c,ceq]=pend_c(p,th0,q0,N) ...
[c,ceq]=qpilin_c(p,Q,R,G,c1) Subroutine for p1_3_06.m; general QPI with linear
[c,ceq]=rkt_c(p,N,hf) ...
[c,ceq]=robo1_c(p,mu,D) Subroutine for Pb. 9.3.14; constraints for min time pick and
[c,ceq]=slbt_c(y,mu,flg) ... Subroutine for e01_3_2 & p1_3_07; sailboat max velocity;
[c,ceq]=slbt_c1(y,ps) ...
[c,ceq]=snell_c(p) ...
[c,ceq]=svic_c(p,N,el) ...
[c,ceq]=trussa_c(p,W)
[ceq,c,y1,y2,xf]=vdpctd_c(p,a... Subroutine for p3_3_12, p3_4_12, 3_6_12; approx. max range with thrust,
[ceq,c]=dgeoc_c(be,th0,thf,ph...
[ceq,c]=dtdp_c(th,s0,tf,N,gv,...
[ceq,c]=dtdp_c(th,s0,tf,N,gv,... Subroutine for e03_2_2 and p3_1_09a; DTDP with gravity for max uf to
[ceq,c]=dtdpt_c(p,yf) ...
[ceq,c]=latturn_c(p,s0,r0)
[f,Tmax,h,x,m,alp,ng]=climb_f...
[f,a,v,y]=svic_f(p,N,el) ...
[f,al,x,h,ga,V,tf]=glid_f(p,h...
[f,g,H]=slbt2_f(y) ... Subroutine for Example 1.5.1; sailboat max velocity using FMINCON;
[f,g,t,x]=ipz(ts,ep,umax) ... Subroutine for Pb. 9.3.13z; erection of an inverted pendulum using
[f,g,y1,y2,xf]=vdpctd_f(p,a,t... Subroutine for p3_3_12, p3_4_12, 3_6_12; approx. max range with thrust,
[f,g]=clmb_727(y,flg) ... Subroutine for Pb. 1.3.21c using CONSTR; max climb angle or climb
[f,g]=f4_crus1(p,h)
[f,g]=incantr(p,W) Subroutine for p1_3_16; min weight inverted cantilever truss using
[f,g]=mindist(p) Subroutine for p1_3_04; min distance between 2 lines in 3D;
[f,ome,oms,the,ths,tf]=robot_... Subroutine for Pb. 9.3.14; performance index f for min time pick-and-
[f,s,la0]=fopcnv(p,name,s0,tf...
[f,s,u,la0]=fopcn(p,name,s0,t...
[f,s,u,la]=dop0b(sf,name,uf,s...
[f,s,u,la]=dopcb(p,name,uf,s0...
[f,s,u]=tto(d,u,s0,sfd) Subroutine for p10_3_3a.m; motion of tractor-trailer; 1/97, 5/19/01
[f,s]=airc_f(p,s0,Vc,lc) ... Subroutine for p4_5_24a; 9/15/02
[f,s]=gldb_f(p,s0) ...
[f,s]=ipe_f(p,s0)
[f,s]=latturn_f(p,s0,r0)
[f,s]=marc_f(be,s0,tf)
[f,t,s]=dblint_f(p,s0) Subroutine for e09_3_1a; 9/17/02
[f,t,s]=gld_f(p,s0) ...
[f,t,s]=lander_dyn(p,v0,Isp,T...
[f,t,s]=minfuel(p,xf,thf,tf) ...
[f,t,s]=robo1_fg(p,mu,D) Subroutine for Pb. 9.3.14; performance index f for min time
[f,t,s]=vdpctdy(p)
[f,t,s]=vdpctdy(p)
[f,t,y]=fop0b(sf,name,s0,tf) ...
[f,t,y]=fop0f(p,name,s0,tf)
[f,t,y]=fopcf1(p,u0,s0,tf)
[f,t,y]=foptf(p,name,s0,nc)
[f,th,ph]=dgeot_fa(p,th0,thf,... Subroutine for Pb. 4.1.3a; DVDP for min distance between two points on
[f,th,q,Q]=invp_f(p,th0,q0,N)...
[f,th,q,Q]=invp_f1(p,th0,q0,N...
[f,th,q,Q]=pend_f(p,th0,q0,N)...
[f,th,s]=dgeo1(be,th0,phf)
[f,th,s]=dgeo2(p,th0,thf,phf) Subroutine for p3_1_03 for use with FSOLVE; min distance between two
[f,th,s]=dgeo2a(p,th0,thf,phf... Subroutine for use with FSOLVE for Pb. 3.1.3a; min distance between two
[f,th,s]=dgeoc_f(be,th0,phf) Subroutine for p2_1_3a.m using FMINU; min distance to a meridian on a
[f,th,s]=dgeoc_f(be,th0,thf,p...
[f,u,v,x,y]=dtdpt_fg(p,yf) ...
[f,u,v,y,x]=dtdp_f(th,s0,tf,N... Subroutine for e03_2_2 and p3_1_09a; DTDP with gravity for max uf to
[f,u,v,y,x]=dtdp_fz(th,s0,tf,...
[f,v,x,h,m,T]=rkt_f(p,N,hf) ...
[f,v,y,x]=dvdp_f1(p,N,h)
[f,x,u]=mehra1_f(p)
[f,x,u]=mehra_f(p)
[f,x,y,ga]=dzrmt_f(p) ... Subroutine for p4_2_02; DVDP for min time to a point with uc=Vy/h
[f,x,y,ps,V,sg,tf]=glid1_f(p) Subroutine for p9_3_16.m; max time glide at const. altitude; 8/10/01
[f,x,y,ps,u]=tt_f(p,N,sf,uo)
[f,xe0,ye0,xefs,yefs,xefb,yef...
[f,xf,yf,xef,yef,tf,thf]=hoch...
[f,xf,yf,xef,yef,tf,thf]=hoch...
[f,y,v,a]=mfuel_f(p,N,v0,y0) ...
[f1,f2,f3,f4,f5]=climb0(u,s,t...
[f1,f2,f3,f4,f5]=climbx0s(al,...
[f1,f2,f3,f4,f5]=frm0y(u,s,t,...
[f1,f2,f3,f4,f5]=geo0y(u,s,t,...
[f1,f2,f3,f4,f5]=gld0(al,s,t,...
[f1,f2,f3,f4,f5]=mar0(be,s,t,...
[f1,f2,f3,f4,f5]=marslin0(be,... Subroutine for p2_7_17 & p8_5_17; TDP for max radius orbit
[f1,f2,f3,f4,f5]=tdp0(th,s,t,...
[f1,f2,f3,f4,f5]=vdp0y(u,s,t,...
[f1,f2,f3,f4,f5]=vdpt0y(u,s,t...
[f1,f2,f3,f4,f5]=vdptd0y(u,s,...
[f1,f2,f3,f4,f5]=zrm0n2(uf,s,...
[f1,f2,f3,f4]=dtdpgc(th,s,dt,...
[f1,f2,f3]=calgldt(sg,s,t,flg... Subroutine for p4_4_16 & p4_6_16; max time const.-altitude glide
[f1,f2,f3]=dgeot(be,s,dt,t,fl... Subroutine for p4_2_03; min dist. to point on a sphere t-->d=distance
[f1,f2,f3]=mintclm(u,s,t,flg)...
[f1,f2,f3]=mintclm(u,s,t,flg)... Subroutine for p4_5_25 & p4_7_25n,f,b; min time climbing turn for 727
[f1,f2,f3]=minteclm(u,s,t,flg...
[f1,f2,f3]=tdpgit(th,s,t,flg) Subroutine for p4_4_08; TDP for min tf with gravity and spec. xf, yf,
[f1,f2,f3]=tdpgt(th,s,t,flg)
[f1,f2,f3]=tdpit(th,s,t,flg)
[f1,f2,f3]=tdptgx(th,s,t,flg)
[f1,f2,f3]=tdpxt(th,s,t,flg)
[f1,f2,f3]=vdpgtdt(ga,s,t,flg... Subroutine for p4_4_12 & p4_6_12n; VDP for min time to spec. range
[f1,f2,f3]=vdpttd(ga,s,t,flg)...
[f1,f2,f3]=zrmpt(th,s,t,flg) ... Subroutine for p4_4_14; min time in parabolic current uc=1-y^2;
[f1,f2]=climbx0(al,s,t,flg) ...
[f1,f2]=dzrm0z(u,s,dt,t,flg) ...
[f1,f2]=geo1(u,s,t,flg) Subroutine for Pb. 2.4.7; min distance on a sphere using quad. penalty
[f1,f2]=holdp(u,s,t,flg,xf) ...
[f1,f2]=latturn_s(u,s,t,flg)
[f1,f2]=marc0(be,s,t,flg) ...
[f1,f2]=marslinc(be,s,t,flg) Subroutine for Pb. 3.4.17; TDP for orbit transfer with
[f1,f2]=maxaltn(u,s,t,flg)
[f1,f2]=maxaltnv(u,s,t,flg)
[f1,f2]=rbclmb(u,s,t,flg) ...
[f1,f2]=tdpc(th,s,t,flg)
[f1,f2]=tdpcg(th,s,t,flg)
[f1,f2]=tdpcgx(th,s,t,flg)
[f1,f2]=tdpcx(th,s,t,flg) Subroutine for p3_4_07 & p3_6_07; TDP for max uf with specified
[f1,f2]=vdpctd(ga,s,t,flg) ...
[f1,f2]=vdptd0(u,s,t,flg) ...
[f1,f2]=zrm0y(th,s,t,flg) ...
[s,K,Hu,phi,psi]=dopcn2(name,...
[t,s]=odeu(name,u,s0,tf) Forward 4th order fixed step-size Runge-Kutta integration with
[t,u,s,la0,Hu]=fop0(name,tu,u... FOP0 - Function OPtim. with 0 terminal constraints
[t,u,s,nu,la0]=fopc(name,tu,u... FOPC - Function OPtim. w. terminal Constraints
[t,u,s,tf,nu,la0]=fopt(name,t... FOPT - Function OPtimization with terminal constraints, Tf Open
[t,uf,s,K,Hu,Huu]=fop0n2(name... FOP0N2 - Function OPptimization with 0 Terminal Constraints using a
[t,y]=tvlqh(name,tf,s0,sf)
[t,y]=tvlqs(name,tf,s0,Mf,Qf,...
[u,s,nu,la0]=dopc(name,u,s0,t...
[x,u,t,t1b,K]=tlqhr(A,B,Q,N,R...
[x,y,t]=erzb_p(th0,xf)
dr=drate(al,alm,eta)
f1=gldb_s(al,s,t,flg)
f1=ipen(u,s,t,flg) Subsubroutine for Pb.9_3_13b, erection of inverted pendulum with hori-
f=cantruss_f(p,W)
f=clmb_727_f(p,flg) ...
f=cltn_f(y,ga,flg) ...
f=dfrmt_f(p,xf,yf)
f=dgeot_f1(p,th0,thf,phf) ...
f=dopbu(z0,name,s,la,dt,t)
f=dopfu(p0,name,s,la,dt,t)
f=dtdpt_f1(p,yf) ... Subroutine for e04_3_2, p4_3_06a; 3/97, 3/29/02
f=erzb_f(th0,xf)
f=f4_cruse_f(p,flg)
f=frmt_f(p,xf,yf)
f=geoa(p)
f=incantr_f(p,W)
f=invcantr(p,W) Subroutine for Pb.1.2.16; min weight inverted cantilever truss,
f=invtruss_f(p,W)
f=ip_f(p,ep,umax) ...
f=ip_f(ts,ep,umax) ... Subroutine for Pb. 9.3.13; erection of an inverted pendulum on
f=ip_f1(p,ep,umax) ... Subroutine for Pb. 9.3.13b; erection of an inverted pendulum using
f=lqnmp(p)
f=mart_f(p,s0)
f=maxcltn1_f(p,ga,flg)
f=mdr_f(p,flg)
f=min_turn_f(p,ga,flg) ...
f=mindist_f(p) Subroutine for p1_3_04; min distance between 2 lines in 3D;
f=newton(u,el) Subroutine for e02_3_3.m; determines uo for given ratio of el=l/a
f=nlpb_f(p)
f=oscnmp(p) Function file for p10_2_2.m; solves LQ pb. for oscillatory NMP
f=qpilin_f(p,Q,R,G,c1) Subroutine for p1_3_06.m; general QPI with linear
f=slbt_f(y,mu,flg) ... Subroutine for e01_3_2 & p1_3_07; sailboat max velocity;
f=slbt_fz(y,mu,flg) ... Subroutine for e01_3_2 & p1_3_07; sailboat max velocity (flg=1) or max
f=snel(p,v1,v2,y1,y2,x2) Subroutine for p1_2_05.m; min time path thru region with 2 layers of
f=snell_f(p) ...
f=trussa_f(p,W)
f=vdpgtd_o(k,a,tf,t0)
f=zermc_f(p,tf,yf)
f=zrm0a(z,sf,yf,y0,tf)
f=zrmpt_f(p) ...
f=zrmt_f(p) Subroutine for p4_4_02; VDP for min time to a point with uc=Vy/h;
sp=climb0s(t,s) ...
sp=dblint(t,s,flg,am)
sp=dblint_s(t,s,flag,p)
sp=dip_mf(t,s)
sp=fop0n2_f(t,s,flag,name,tu,...
sp=frm0ys(t,s)
sp=geo0ys(ph,s)
sp=geoz(ph,th)
sp=gld_s(t,s,flag,p)
sp=lander_sub(t,s,v0,Isp,Tmax...
sp=lapend(t,s)
sp=mar0s(t,s,flg,tn,ben,sn,K)
sp=mart_s(t,s,flag,p)
sp=minfuela(t,s,flag,p)
sp=minfuelb(t,s)
sp=robo(t,s,flag,mu,us0) Subroutine for robo1_f & _c (subroutines for p9_3_14);
sp=stage_o(t,s)
sp=tdp0s(t,s)
sp=vdp0ys(t,s) ...
sp=vdpt0ys(t,s) ...
sp=vdptd0ys(t,s) ...
sp=vdptdode(t,s,flg,p)
sp=zrm0_noc(t,ds,flg,tn,thn,s...
sp=zrm_sina(t,s,flg,thf,tf) ...
sp=zrm_sine(t,y1) ... Subroutine for Pb. 8.7.3; EL eqns for Zermelo Pb. with sinusoidal
yd=ipez(t,y,flag,ts,ep,umax)
yp=calgld(t,s,flag,lx,ly) Subroutine for p4_3_16; max time constant-altitude glide (P. Lu) with
yp=calgldte(t,y) Subroutine for Pb. 4.6.16; max time constant-altitude glide (Ping Lu)
yp=fop0_b(t,y,flag,tu,u,ts,s,...
yp=fop0_f(t,s,flag,tu,u,name)
yp=fop0n2_b(t,y,flag,name,ts,...
yp=fopc_b(t,y,flag,tu,u,ts,s,... Subroutine for FOPC; backward integ. of adjoint eqns
yp=fopc_f(t,s,flag,tu,u,name)
yp=gldce(t,y)
yp=mar0e(t,y)
yp=marce(t,y)
yp=marslin0e(t,y)
yp=maxalcte(t,y) ...
yp=maxalte(t,y) ... Subroutine for Pb 3.6.25f,b; max altitude climbing turn for 727
yp=mintclte(t,y)
yp=rbclmbe(t,y) ...
yp=tlqh_b(t,y,flag,A,B,Q,N,R,...
yp=tlqh_f(t,y,flag,A,B,t1k,K,...
yp=tlqs_b(t,y,flag,A,B,Q,N,R)
yp=tlqs_f(t,y,flag,A,B,tk,K,u...
yp=tvex2_h(t,y)
yp=tvex_h(t,y)
yp=vdpgtdte(t,y) ...
yp=vdptd0e(t,y)
E02_3_3.m
E02_4_1.m
E02_4_1z.m
E03_4_1.m
E03_4_2.m
E04_3_1.m
E04_3_2.m
E04_5_1.m
E04_5_2.m
E04_5_3.m
E04_5_3n.m
E04_5_4.m
E04_6_1.m
E04_6_2.m
E04_6_3.m
E04_7_1.m
E04_7_2.m
E04_7_3.m
E05_2_3.m
E05_5_2.m
E08_2_1.m
E08_3_1.m
E08_7_2.m
E09_3_1a.m
E09_3_2.m
E09_3_2a.m
E09_3_2b.m
F04_05.m
F04_06.m
F04_09m.m
F06_08.m
F06_10.m
F08_13.m
F08_16.m
P10_2_3.m
P10_3_3.m
P10_3_3a.m
P10_3_3b.m
P1_2_02.m
P1_2_03.m
P1_2_04.m
P1_2_05.m
P1_2_11z.m
P1_2_12.m
P1_2_18.m
P1_3_03.m
P1_3_04.m
P1_3_15.m
P1_3_16.m
P1_3_23.m
P2_1_3a.m
P2_2_2z.m
P2_2_3a.m
P2_5_6b.m
P2_5_7b.m
P2_5_7f.m
P2_5_7n.m
P2_6_17F.m
P2_6_9F.m
P2_6_9N.m
P2_6_9b.m
P2_7_1.m
P2_7_17.m
P2_7_2.m
P2_7_22a.m
P2_7_23A.m
P2_7_23b.m
P2_7_2a.m
P2_7_4.m
P2_7_5.m
P2_7_6.m
P3_1_03a.m
P3_2_03a.m
P3_2_09a.m
P3_3_19b.m
P3_3_19c.m
P3_4_01.m
P3_4_17.m
P3_4_20b.m
P3_4_21.m
P3_4_22a.m
P3_4_22b.m
P3_4_23b.m
P3_5_05b.m
P3_5_05f.m
P3_5_05n.m
P3_5_09b.m
P3_5_12b.m
P3_6_04n.m
P3_6_05n.m
P3_6_06n.m
P3_6_07n.m
P3_6_08n.m
P3_6_09n.m
P3_6_11n.m
P3_6_12n.m
P3_6_22F.m
P3_6_22b.m
P3_6_22n.m
P3_6_25b.m
P3_6_25f.m
P3_6_25n.m
P4_2_01.m
P4_2_02.m
P4_2_03.m
P4_2_03a.m
P4_2_04.m
P4_3_03.m
P4_3_03a.m
P4_3_06.m
P4_3_06a.m
P4_3_07.m
P4_3_09.m
P4_3_12.m
P4_4_01.m
P4_4_02.m
P4_4_03.m
P4_4_04.m
P4_4_05.m
P4_4_06.m
P4_4_07.m
P4_4_08.m
P4_4_09.m
P4_4_10.m
P4_4_14.m
P4_5_01.m
P4_5_02.m
P4_5_03.m
P4_5_04.m
P4_5_05.m
P4_5_06.m
P4_5_07.m
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3.7 | 3 ratings Rate this file 15 Downloads (last 30 days) File Size: 1.08 MB File ID: #2429

Dynamic Optimization

by Arthur Bryson

24 Sep 2002 (Updated 24 Sep 2002)

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Description

This book starts with a review of parameter optimization and then treats dynamic optimization, first with fixed final time and no constraints, next with terminal contraints, and finally with terminal constraints and open final time. This is followed by chapters on linear-quadratic problems and dynamic programming. The book concludes with chapters covering neighboring-optimal feedback control, inequality constraints, and singular problems.

For a full book description and ordering information, please refer to http://www.mathworks.com/support/books/book1532.jsp.

MATLAB release

MATLAB 6.1 (R12.1)

Tags for This File
Everyone's Tags	controls(2), dynamic optimization, fixed final time, parameter optimzation
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Comments and Ratings (3)
13 Dec 2004	luan nguyen
10 Nov 2005	Andrew Wagner	Pretty much useless unless you have the book. Functions are not documented well enough to stand alone.
28 Aug 2011	chen xu

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Tag Activity for this File
Tag	Applied By	Date/Time
controls	Arthur Bryson	22 Oct 2008 06:51:52
dynamic optimization	Arthur Bryson	22 Oct 2008 06:51:52
fixed final time	Arthur Bryson	22 Oct 2008 06:51:52
parameter optimzation	Arthur Bryson	22 Oct 2008 06:51:52
controls	Djibril TOGOLA	14 Mar 2012 10:09:19

Highlights from Dynamic Optimization

Dynamic Optimization

Highlights from
Dynamic Optimization