Modern Control TheoryBrogan'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. |
Contents
HIGHLIGHTS OF CLASSICAL CONTROL THEORY | 31 |
STATE VARIABLES AND THE STATE SPACE DESCRIPTION | 72 |
FUNDAMENTALS OF MATRIX ALGEBRA | 121 |
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Common terms and phrases
a₁ algebraic approximation assumed asymptotically stable B₁ basis vectors c₁ canonical form Chapter closed-loop poles coefficients column completely controllable components considered constant continuous-time system control system controllable and observable d₁ defined derivatives determinant diagonal differential equation discrete dynamic eigenvalues eigenvectors elements equilibrium point example Find frequency given gives initial conditions inner product input input-output integral inverse Jordan block Jordan form K₁ limit cycle linear system linear transformation linearly independent Lyapunov function method minimal realization minimum nonlinear system nonsingular nonzero norm null space open-loop optimal control orthogonal orthonormal output polynomial positive definite Problem QR decomposition quadratic rank root root locus satisfies scalar selected shown in Figure signal simulation diagram solution solving stability subspace t₁ theorem time-varying transfer function unstable v₁ values variable vector space x(to x₁ Z-transform zero λ₁