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Titlebook: Sliding-Mode Control and Variable-Structure Systems; The State of the Art Tiago Roux Oliveira,Leonid Fridman,Liu Hsu Book 2023 The Editor(s

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Discrete-Time Implementations of Differentiators Homogeneous in the Bi-Limitat the proposed discrete-time algorithms are globally asymptotically stable in the unperturbed case for arbitrary order and converge to an attractive invariant set around the origin in the perturbed case. Furthermore the performance of the proposed algorithm is evaluated via simulation studies.
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Unit Vector Control with Prescribed Performance via Monitoring and Barrier Functions settlement time and maximum overshoot. In the steady state, the barrier function confines the output of the plant within a small prescribed vicinity of the origin. Simulation results including an application to an overhead crane system illustrate the advantages of the proposed adaptive control strategy.
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Book 2023searchers and an international range of experts. Such contributions highlight advances in various branches of the field—conventional and higher-order SMC with continuous- and discrete-time implementation and theory and applications both receive attention..The book consists of six parts. In the first
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Designing Controllers with Predefined Convergence-Time Bound Using Bounded Time-Varying Gainser the system’s state to the origin in the desired time, a priori set by the user, regardless of the initial condition. Furthermore, such a class of controllers has been shown to maintain a prescribed-time convergence in the presence of disturbances even if the disturbance bound is unknown. However,
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On Finite- and Fixed-Time State Estimation for Uncertain Linear Systemsertainties and unknown inputs. A family of homogeneous observers and a fixed-time sliding-mode observer are introduced to solve this problem. The finite-time and fixed-time convergence properties and the synthesis of these observers are described along this chapter. Moreover, an unknown input identi
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Effect of Euler Explicit and Implicit Time Discretizations on Variable-Structure Differentiatorscit time-discretization schemes are developed for a specific type of variable-structure differentiator, ., arbitrary-order super-twisting differentiator. The causal implementation and some properties of the implicit discretization are studied analytically, ., finite-time convergence, numerical chatt
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