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General System and Control macros

  • abcd state-space matrices
  • abinv AB invariant subspace
  • arhnk Hankel norm approximant
  • arl2 SISO model realization by L2 transfer approximation
  • balreal balanced realization
  • bilin general bilinear transform
  • cainv Dual of abinv
  • calfrq frequency response discretization
  • canon canonical controllable form
  • cls2dls bilinear transform
  • colregul removing poles and zeros at infinity
  • cont_frm transfer to controllable state-space
  • cont_mat controllability matrix
  • contr controllability, controllable subspace
  • contrss controllable part
  • csim simulation (time response) of linear system
  • ctr_gram controllability gramian
  • dbphi frequency response to phase and magnitude representation
  • des2tf descriptor to transfer function conversion
  • dscr discretization of linear system
  • dsimul state space discrete time simulation
  • dt_ility detectability test
  • equil balancing of pair of symmetric matrices
  • equil1 balancing (nonnegative) pair of matrices
  • feedback feedback operation
  • flts time response (discrete time, sampled system)
  • frep2tf transfer function realization from frequency response
  • freq frequency response
  • freson peak frequencies
  • g_margin gain margin
  • gfrancis Francis equations for tracking
  • imrep2ss state-space realization of an impulse response
  • invsyslin system inversion
  • kpure continuous SISO system limit feedback gain
  • krac2 continuous SISO system limit feedback gain
  • lin linearization
  • lqe linear quadratic estimator (Kalman Filter)
  • lqg LQG compensator
  • lqg2stan LQG to standard problem
  • lqr LQ compensator (full state)
  • ltitr discrete time response (state space)
  • markp2ss Markov parameters to state-space
  • minreal minimal balanced realization
  • minss minimal realization
  • obs_gram observability gramian
  • obscont observer based controller
  • observer observer design
  • obsv_mat observability matrix
  • obsvss observable part
  • p_margin phase margin
  • pfss partial fraction decomposition
  • phasemag phase and magnitude computation
  • ppol pole placement
  • projsl linear system projection
  • repfreq frequency response
  • ricc Riccati equation
  • rowregul removing poles and zeros at infinity
  • rtitr discrete time response (transfer matrix)
  • sm2des system matrix to descriptor
  • sm2ss system matrix to state-space
  • specfact spectral factor
  • ss2des (polynomial) state-space to descriptor form
  • ss2ss state-space to state-space conversion, feedback, injection
  • ss2tf conversion from state-space to transfer function
  • st_ility stabilizability test
  • stabil stabilization
  • svplot singular-value sigma-plot
  • syssize size of state-space system
  • tf2ss transfer to state-space
  • time_id SISO least square identification
  • trzeros transmission zeros and normal rank
  • unobs unobservable subspace

    • zeropen zero pencil