Control theory. 2: State control, digital and nonlinear control systems. (Q2715770)

Based on the first volume of the tripartite work ``Regelungstechnik I--III'' (see the book reviewed above), the present extended 8th edition of the second volume on ``Regelungstechnik II'' describes selected methods for the analysis and synthesis of linear control systems in continuous-time: Matrix exponential functions, solution of the state equation in the frequency domain, transformations of variables, observability and controllability, synthesis of linear control systems in state space, pole placement methods. Selected methods for the analysis and synthesis of discrete-time systems are given in Chapter 2: Digital control, \(z\)-transformation, stability of discrete-time systems, algorithms for digital control, representation in state space. In the second part of this volume, nonlinear control systems are described: Analysis of control systems in phase space, time-optimal control, stability theory (Lyapunov) and stability criterions (Popov). Many worked exercises are contained in Appendix A, and basic material from vector and matrix algebra can be found in Appendix B. Again numerous references are given, and the book has a detailed index.