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. Covering nonlinear systems, the author explains dynamic linearization, the Lyapunov theory, the Popov criterion and circle criterion. Treatment of LQ optimal problems and algebraic Riccati equations is expanded and Brogan also offers an improved method for obtaining minimal realizations using QR decomposition and Kalman canonical forms.