Modern Control Theory
Brogan's revision of this text briefly reviews modelling and classical linear control in the transform domain, then develops the linear algebra/matrix theory needed for state variable analysis. It also studies dynamical systems and their fundamental properties, design methods of pole-placement/observers and optimal control theory.
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HIGHLIGHTS OF CLASSICAL CONTROL THEORY
STATE VARIABLES AND THE STATE SPACE DESCRIPTION
v3 5 Interconnection of Subsystems
23 other sections not shown
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algebraic approximation assumed asymptotically stable basis vectors canonical form Chapter closed-loop eigenvalues closed-loop poles coefficients column completely controllable components considered constant continuous-time system control system controllable and observable decoupled defined derived determinant diagonal differential equation dimensional discrete discrete-time system dynamic eigenvalues eigenvectors elements equilibrium point example factors feedback control feedback gain Find frequency full state feedback gain matrix given gives initial conditions inner product input input-output integration inverse Jordan block Jordan form Kalman Laplace transform linear system linearly independent Lyapunov function method minimal minimal realization minimum nonlinear system nonsingular nonzero norm null space obtained open-loop optimal control orthogonal output feedback polynomial positive definite Problem quadratic rank Riccati equation satisfy scalar selected shown in Figure signal simulation diagram solution solving stability subspace system described theorem time-varying transfer function unstable values variable vector space Z-transform zero
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Mathematical Control Theory: Deterministic Finite Dimensional Systems
Eduardo D. Sontag
Limited preview - 1998