Titlebook: Nonlinear Systems and Controls; Jürgen Adamy Textbook 20242nd edition The Editor(s) (if applicable) and The Author(s), under exclusive lic

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https://doi.org/10.1007/978-3-662-68690-4Nonlinear Systems; Nonlinear Dymanics; Nonlinear control; Stability theory; Controllability; Gain-Schedul

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Fundamentals of Nonlinear Systems,d linear systems theory. A significant number of processes and systems are nonlinear and must be represented by nonlinear models. Linear systems theory is not generally applicable to nonlinear systems. Exceptions are nonlinear systems, which can be sufficiently well approximated by a linear model.

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Limit Cycles and Stability Criteria, method of description functions. The concept of absolute stability, the Popov criterion, the Tsypkin criterion, and the circle criterion are described; followed by Lyapunov‘s stability theory. The chapter concludes with the theory of passive systems and dissipative Hamiltonian systems. Real-world e

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Controllability and Flatness,g is illustrated. This chapter also includes a section on flat systems and the concept of flatness, which is related to controllability. The chapter concludes with a discussion of nonlinear state space transformations. Real-world examples such as an industrial robot and a VTOL aircraft illustrate th

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Nonlinear Control of Linear Systems,he anti-windup controls that are important in industrial practice. Furthermore, time-optimal controls, structure-variable controls without sliding mode, and saturating controls are addressed. This chapter also includes various real-world examples, such as the depth control of a submarine, and illust

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Nonlinear Control of Nonlinear Systems, widely used in practice, is described and illustrated using a solar power plant as an example. Input-output and full-state exact linearization as well as the related flatness-based controls are explained in detail. The chapter concludes with controller design methods using control Lyapunov function