Analysis and control of linear systems
The design of automatic controls is debated in this collection of articles by engineers and mathematicians. The book provides information on both techniques for modeling linear systems made up of digital signals, and timing devices and various mathematical analyses of closed loop and predictive systems using monovariable and polynomial calculations.
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State Space Representation
Structural Properties of Linear Systems
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algorithm analysis angular frequency applied approach asymptotic behavior Bode diagram calculation canonical form Chapter characterized choice closed loop coefficients complex constraints continuous-time control law control system correction corrector corresponds criterion decoupling defined degree described differential equation Dirac impulse discrete signal discrete system discrete-time dynamic eigenstructure eigenvalues eigenvectors example Figure filter finite Fourier transform frequency response gain grammians Hence hypothesis impulse response input instant integration invariant Laplace transform Let us consider linear systems loop transfer looped system method minimal modal modes noise non-linear Nyquist observer obtained open loop operator optimization output parameters pE-H phase margin placement poles polynomial possible predictive control procedure rectangle method regulator relation representation represents Riccati equation robustness sampling sequence simulation solution stability standard static error step function structure sub-space Supélec synthesis THEOREM trajectory transfer function transfer matrix unit-step response variable vector verified z-transform