Results 111 to 120 of about 16,203 (266)
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this work, a new event‐triggered adaptive first‐order sliding mode control method is proposed for nonlinear systems with constant time delays, modeled by interval type‐2 Takagi–Sugeno (T–S) fuzzy systems. To handle matched disturbances with unknown upper bounds, a non‐overestimating adaptation strategy for the control coefficient is ...
Rodrigo Possidonio Noronha +1 more
wiley +1 more source
Filtered Lyapunov functions and the stabilization of block feedforward systems
, 2011 In this paper we introduce a generalized class of filtered Lyapunov functions, which are Lyapunov functions with time-varying parameters satisfying certain differential equations.
Stefano Battilotti, BATTILOTTI, Stefano
core +1 more source
Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley +1 more source
Local Hypoellipticity by Lyapunov Function
Abstract and Applied Analysis, 2016 We treat the local hypoellipticity, in the first degree, for a class of abstract differential operators complexes; the ones are given by the following differential operators:Lj=∂/∂tj+(∂ϕ/∂tj)(t,A)A,j=1,2,…,n, whereA:D(A)⊂H→His a self-adjoint linear operator, positive with0∈ρ(A), in a Hilbert spaceH, andϕ=ϕ(t,A)is a series of nonnegative powers ofA ...
openaire +4 more sources
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper establishes an implementation‐aware framework for Barrier Function Adaptation (BFA) and shows that discrete‐time realizations fundamentally alter the logic of final‐set adjustment. In particular, sufficient conditions are derived to preserve the key benefits of BFA (predefined performance, gain adaptation with uncertain perturbation
Luis Ovalle +3 more
wiley +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper addresses the problem of dynamic output‐feedback H∞$$ {H}_{\infty } $$ detector‐based control for continuous‐time Markov Jump Lur'e Systems with uncertain transition rate matrices. In contrast to conventional approaches, the proposed synthesis conditions are derived using Finsler's lemma, introducing additional slack variables to ...
Lucas P. M. Silva +2 more
wiley +1 more source
Distributionally robust Lyapunov–Barrier Networks for safe and stable control under uncertainty
Results in Control and OptimizationThis paper addresses the challenge of simultaneously achieving stability and safety in nonlinear control systems subject to uncertain parameters. We propose distributionally robust Lyapunov–Barrier networks (DR-LBNs), a novel framework that unifies ...
Ali Baheri
doaj +1 more source
Flexible control Lyapunov functions
2009 American Control Conference, 2009 A central tool in systems theory for synthesizing control laws that achieve stability are control Lyapunov functions (CLFs). Classically, a CLF enforces that the resulting closed-loop state trajectory is contained within a cone with a fixed, predefined shape, and which is centered at and converges to a desired converging point.
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International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper presents novel results regarding the input–output finite‐time stability (IO‐FTS) of nonlinear quadratic systems (NLQSs), a class of dynamical models particularly useful for the study of robotic systems, biochemical reaction networks, and other processes of interest to the applied sciences.
Alessio Merola +5 more
wiley +1 more source
Lyapunov function search method for analysis of nonlinear systems stability using genetic algorithm
Научно-технический вестник информационных технологий, механики и оптикиA wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable state vector is considered. The problem of finding a special function (Lyapunov function), which guarantees asymptotic stability for the presented class of ...
A. M. Zenkin +2 more
doaj +1 more source