Linear Analysis

• Controllability Observability
  • 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
• Frequency Domain
  • black — Black-Nichols diagram of a linear dynamical system
  • bode — Bode plot
  • bode_asymp — Bode plot asymptote
  • 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
• Stability
  • 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 — график нулей и полюсов
  • 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
• Time Domain
  • 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