Titlebook: Stability and Performance of Control Systems with Actuator Saturation; Yuanlong Li,Zongli Lin Book 2018 Springer International Publishing

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Composite Quadratic Lyapunov Functions, actuator saturation. In particular, in Chapter 2, quadratic Lyapunov functions were utilized for regional stability analysis of a linear system with different types of saturation nonlinearities, and contractively invariant ellipsoids, level sets of quadratic Lyapunov functions, have been used as es

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Partitioning of the Convex Hull,for stability analysis and stabilization for linear systems subject to actuator saturation. Indeed, many problems, such as the estimation of the domain of attraction, controller design, anti-windup compensators, and disturbance rejection, can be cast into constrained optimization problems with matri

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Convex Hull Representations, control community have paid considerable attention to handling saturation functions and have developed different treatments of the saturation function. Based on these treatments, various conditions have been established under which an ellipsoid is contractively invariant.

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Composite Quadratic Lyapunov Functions,mputational approach to determining the maximal contractively invariant ellipsoid. In spite of their simplicity, quadratic Lyapunov functions lead to conservative results in estimating the domain of attraction for a linear system subject to actuator saturation.

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Book 2018 improving the treatment of the saturation function and constructing new Lyapunov functions.  In particular, two improved treatments of the saturation function are described that exploit the intricate structural properties of its traditional convex hull representation.  The authors apply these treat

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Disturbance Tolerance and Rejection,in . stabilitycan be achieved by linear feedback. Furthermore, for a general system that may be unstable, the . gain from disturbances to the state can be made arbitrarily small by linear feedback if the disturbances are assumed to be bounded in magnitude [.].

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