Linear Control Systems: With solved problems and MATLAB examples
Springer Science & Business Media, Dec 6, 2012 - Technology & Engineering - 381 pages
Anyone seeking a gentle introduction to the methods of modern control theory and engineering, written at the level of a first-year graduate course, should consider this book seriously. It contains:
Another noteworthy feature is the frequent use of an inverted pendulum on a cart to illustrate the most important concepts of automatic control, such as:
Most of the problems are given with solutions or MATLAB simulations. Whether the book is used as a textbook or as a self-study guide, the knowledge gained from it will be an excellent platform for students and practising engineers to explore further the recent developments and applications of control theory.
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ac(t aſk aſs assume asymptotically stable BIBO stability Buſt calculate characteristic equation characteristic polynomial closed-loop system coefficients Consider continuous-time system control theory controllability and observability controller form controller realization defined derive det(A det(C det(XI determine diagonal difference equations differential equation discrete-time systems distinct eigenvalues eigenvalues estimation example Figure frequency hence Hermitian Hurwitz impulse response initial conditions inverted pendulum Kalman filter Laplace transform Lyapunov equation Lyapunov stability MATLAB MATLAB commands matrix minimal n x n negative noise nonsingular notation Note Nyquist observer form obtained optimal control origin output plot poles positive definite symmetric positive semi-definite Problem proof properties prove quadratic form real symmetric realization of H(s recursion result Riccati equation Section sense of Lyapunov similarity transformation Solution solve state-space symmetric matrix system given system is controllable theorem transfer function unstable uſk variables vſk write xdot ylabel z-transform zero