- Scilab help
- CACSD
- format_representation
- Plot and display
- plzr
- syslin
- abinv
- arhnk
- arl2
- arma
- arma2p
- arma2ss
- armac
- armax
- armax1
- arsimul
- augment
- balreal
- bilin
- bstap
- cainv
- calfrq
- canon
- ccontrg
- cls2dls
- colinout
- colregul
- cont_mat
- contr
- contrss
- copfac
- csim
- ctr_gram
- damp
- dcf
- ddp
- dhinf
- dhnorm
- dscr
- dsimul
- dt_ility
- dtsi
- equil
- equil1
- feedback
- findABCD
- findAC
- findBD
- findBDK
- findR
- findx0BD
- flts
- fourplan
- freq
- freson
- fspec
- fspecg
- fstabst
- g_margin
- gamitg
- gcare
- gfare
- gfrancis
- gtild
- h2norm
- h_cl
- h_inf
- h_inf_st
- h_norm
- hankelsv
- hinf
- imrep2ss
- inistate
- invsyslin
- kpure
- krac2
- lcf
- leqr
- lft
- lin
- linf
- linfn
- linmeq
- lqe
- lqg
- lqg2stan
- lqg_ltr
- lqr
- ltitr
- macglov
- minreal
- minss
- mucomp
- narsimul
- nehari
- noisegen
- nyquistfrequencybounds
- obs_gram
- obscont
- observer
- obsv_mat
- obsvss
- p_margin
- parrot
- pfss
- phasemag
- pol2des
- ppol
- prbs_a
- projsl
- reglin
- repfreq
- ric_desc
- ricc
- riccati
- routh_t
- rowinout
- rowregul
- rtitr
- sensi
- sident
- sorder
- specfact
- ssprint
- st_ility
- stabil
- sysfact
- syssize
- time_id
- trzeros
- ui_observer
- unobs
- zeropen
Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
stabil
stabilization
Calling Sequence
F=stabil(A,B,alfa) K=stabil(Sys,alfa,beta)
Arguments
- A
square real matrix (
nx x nx
)- B
real matrix (
nx x nu
)- alfa, beta
real or complex vector (in conjugate pairs) or real number.
- F
real matrix (
nx x nu
)- Sys
linear system (
syslin
list) (m
inputs,p
outputs).- K
linear system (
p
inputs,m
outputs)
Description
F=stabil(A,B,alfa)
returns a gain matrix F
such that
A+B*F
is stable if pair (A,B)
is stabilizable.
Assignable poles are set to alfa(1),alfa(2),...
.
If (A,B)
is not stabilizable a warning is given
and assignable poles are set to alfa(1),alfa(2),...
.
If alfa
is a number all eigenvalues are set to this
alfa
(default value is alfa=-1
).
K=stabil(Sys,alfa,beta)
returns K
, a compensator for Sys
such that (A,B)
-controllable eigenvalues are set to
alfa
and (C,A)
-observable eigenvalues are set to beta
.
All assignable closed loop poles (which are given by the
eigenvalues of Aclosed=h_cl(Sys,K)
are set to alfa(i)
's
and beta(j)
's.
Examples
// Gain: Sys=ssrand(0,2,5,list('st',2,3,3)); A=Sys('A');B=Sys('B');F=stabil(A,B); spec(A) //2 controllable modes 2 unstable uncontrollable modes //and one stable uncontrollable mode spec(A+B*F) //the two controllable modes are set to -1. // Compensator: Sys=ssrand(3,2,5,list('st',2,3,3)); //3 outputs, 2 inputs, 5 states //2 controllables modes, 3 controllable or stabilizable modes. K=stabil(Sys,-2,-3); //Compensator for Sys. spec(Sys('A')) spec(h_cl(Sys,K)) //K Stabilizes what can be stabilized.
See Also
Report an issue | ||
<< st_ility | CACSD | sysfact >> |