Systèmes de Contrôle - CACSD

• Conception Système
  • Boucles de contrôle
    • augment — augmented plant
    • feedback — feedback operation
    • lft — linear fractional transformation
  • H-infini
    • ccontrg — Central H-infinity continuous time controller
    • dhinf — H_infinity design of discrete-time systems
    • dhnorm — discrete H-infinity norm
    • gamitg — H-infinity gamma iterations for continuous time systems
    • h2norm — H2 norm of a continuous time proper dynamical system
    • h_cl — closed loop matrix
    • h_inf — Continuous time H-infinity (central) controller
    • h_inf_st — static H_infinity problem
    • h_norm — H-infinity norm
    • hinf — H_infinity design of continuous-time systems
    • linf — infinity norm
    • linfn — infinity norm
    • macglov — Continuous time dynamical systems Mac Farlane Glover problem
    • nehari — Nehari approximant of continuous time dynamical systems
    • parrot — Parrot's problem
  • Linéaire Quadratique
    • fourplan — augmented plant to four plants
    • gcare — Continuous time control Riccati equation
    • gfare — Continuous time filter Riccati equation
    • leqr — H-infinity LQ gain (full state)
    • lqe — linear quadratic estimator (Kalman Filter)
    • lqg — LQG compensator
    • lqg2stan — LQG to standard problem
    • lqg_ltr — LQG with loop transform recovery
    • lqi — Linear quadratic integral compensator (full state)
    • lqr — LQ compensator (full state)
  • Placement de pôles
    • kpure — continuous SISO system limit feedback gain
    • krac2 — continuous SISO system limit feedback gain
    • ppol — pole placement
    • stabil — stabilization
  • ddp — disturbance decoupling
  • gfrancis — Francis equations for tracking
• Identification
  • arl2 — SISO model realization by L2 transfer approximation
  • armax — armax identification
  • armax1 — armax identification
  • findABCD — discrete-time system subspace identification
  • findAC — discrete-time system subspace identification
  • findBD — initial state and system matrices B and D of a discrete-time system
  • findBDK — Kalman gain and B D system matrices of a discrete-time system
  • findR — Preprocessor for estimating the matrices of a linear time-invariant dynamical system
  • findx0BD — Estimates state and B and D matrices of a discrete-time linear system
  • imrep2ss — state-space realization of an impulse response
  • inistate — Estimates the initial state of a discrete-time system
  • lin — linearization
  • sident — discrete-time state-space realization and Kalman gain
  • sorder — computing the order of a discrete-time system
  • time_id — SISO least square identification
• Analyse linéaire
  • Contrôlabilité Observabilité
    • abinv — AB invariant subspace
    • cainv — Dual of abinv
    • cont_mat — controllability matrix
    • contr — controllability, controllable subspace, staircase
    • contrss — controllable part
    • ctr_gram — controllability gramian
    • dt_ility — detectability test
    • obs_gram — observability gramian
    • obscont — observer based controller
    • observer — observer design
    • obsv_mat — observability matrix
    • obsvss — observable part
    • ui_observer — unknown input observer
    • unobs — unobservable subspace
  • Domaine de fréquence
    • black — Black-Nichols diagram of a linear dynamical system
    • bode — Bode plot
    • bode_asymp — asymptote de diagramme de Bode
    • calfrq — frequency response discretization
    • dbphi — frequency response to phase and magnitude representation
    • freq — frequency response
    • freson — peak frequencies
    • gainplot — magnitude plot
    • hallchart — Draws the Hall chart
    • nicholschart — Nichols chart
    • nyquist — nyquist plot
    • nyquistfrequencybounds — Computes the frequencies for which the nyquist locus enters and leaves a given rectangle.
    • phasemag — phase and magnitude computation
    • phaseplot — frequency phase plot
    • repfreq — frequency response
    • svplot — singular-value sigma-plot
    • trzeros — transmission zeros and normal rank
  • Stabilité
    • bstap — hankel approximant
    • dtsi — Continuous time dynamical systems stable anti-stable decomposition
    • evans — Evans root locus
    • g_margin — gain margin and associated crossover frequency
    • p_margin — phase margin and associated crossover frequency
    • plzr — pole-zero plot
    • routh_t — Routh's table
    • sgrid — draws a s-plane grid
    • show_margins — display gain and phase margin and associated crossover frequencies
    • st_ility — stabilizability test
    • zgrid — zgrid plot
  • Domaine Temporel
    • arsimul — armax simulation
    • csim — simulation (time response) of linear system
    • damp — Natural frequencies and damping factors.
    • dsimul — state space discrete time simulation
    • flts — time response (discrete time, sampled system)
    • ltitr — discrete time response (state space)
    • narsimul — armax simulation (using rtitr)
    • rtitr — discrete time response (transfer matrix)
  • sensi — sensitivity functions
• Factorisation de Systèmes Linéaires
  • colinout — inner-outer factorization
  • copfac — right coprime factorization of continuous time dynamical systems
  • dcf — double coprime factorization
  • fspec — spectral factorization of continuous time dynamical systems
  • fspecg — stable factorization of continuous time dynamical systems
  • fstabst — Youla's parametrization of continuous time linear dynamical systems
  • gtild — tilde operation
  • lcf — Continuous time dynamical systems normalized coprime factorization
  • rowinout — inner-outer factorization
  • specfact — spectral factor
  • sysfact — system factorization
• Représentation de Systèmes Linéaires
  • abcd — state-space matrices
  • arma — Scilab arma library
  • arma2p — extract polynomial matrices from ar representation
  • arma2ss — transform an armax data structure into state space representation.
  • armac — Scilab description of an armax process
  • cont_frm — transfer to controllable state-space
  • des2ss — descriptor to state-space
  • des2tf — descriptor to transfer function conversion
  • frep2tf — transfer function realization from frequency response
  • lsslist — Définition d'un système dynamique linéaire
  • markp2ss — Markov parameters to state-space
  • pfss — partial fraction decomposition
  • pol2des — conversion matrice de polynômes vers forme descripteur
  • sm2des — system matrix to descriptor
  • sm2ss — system matrix to state-space
  • ss2des — (polynomial) state-space to descriptor form
  • ss2ss — state-space to state-space conversion, feedback, injection
  • ss2tf — conversion from state-space to transfer function
  • ss2zp — SIMO state space system to zero pole gain representation
  • ssprint — pretty print for linear system
  • syslin — définition d'un système dynamique linéaire
  • syssize — size of state-space system
  • systmat — system matrix
  • tf2des — transfer function to descriptor
  • tf2ss — transfer to state-space
  • tf2zp — SIMO transfer function to zero pole gain representation
  • zp2ss — Zero pole gain to state space
  • zp2tf — Zero pole gain to transfer function
  • zpk — Zero pole gain system representation
  • zpk2ss — Zero pole gain to state space
  • zpk2tf — Zero pole gain to transfer function
• Calculs Matriciels
  • linmeq — Sylvester and Lyapunov equations solver
  • mucomp — mu (structured singular value) calculation
  • ric_desc — Riccati equation
  • ricc — Riccati equation
  • riccati — Riccati equation
  • sylv — Sylvester equation.
• Transformation de Modèles
  • arhnk — Hankel norm approximant
  • balreal — balanced realization
  • bilin — general bilinear transform
  • canon — canonical controllable form
  • cls2dls — bilinear transform
  • colregul — removing poles and zeros at infinity
  • dscr — discretization of linear system
  • equil — balancing of pair of symmetric matrices
  • equil1 — balancing (nonnegative) pair of matrices
  • hankelsv — Hankel singular values
  • invsyslin — system inversion
  • minreal — minimal balanced realization
  • minss — minimal realization
  • projsl — linear system projection
  • rowregul — removing poles and zeros at infinity
  • zeropen — zero pencil
• noisegen — génération de bruit
• prbs_a — pseudo random binary sequences generation