Analysis and Control of Linear Systems
Philippe de Larminat
Wiley, Feb 5, 2007 - Science - 543 pages
Automation of linear systems is a fundamental and essential theory. This book deals with the theory of continuous-state automated systems.
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State Space Representation
Structural Properties of Linear Systems
14 other sections not shown
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