Results 111 to 120 of about 83,867 (245)
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
Linear Algebra and its Applications, 1981 AbstractA new method of finding explicit solutions of Lyapunov equations is described based on a lemma on one-dimensional perturbations of invertible operators. If Y satisfies the equation Y−CYC∗ = bb∗ for an appropriate vector b, then X = Y-1 satisfies X− C∗XC = aa∗ for a given vector a. A concrete example [with a=(1,0,…,0)T] is given.
openaire +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
The Lyapunov matrix equation. Matrix analysis from a computational perspective
, 2015 Decay properties of the solution $X$ to the Lyapunov matrix equation $AX + X A^T = D$ are investigated. Their exploitation in the understanding of equation matrix properties, and in the development of new numerical solution strategies when $D$ is not low
Simoncini, Valeria
core
Safe Stabilization Using Non‐Smooth Control Lyapunov Barrier Function
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper addresses the challenge of safe stabilization, ensuring the system state reaches the origin while avoiding unsafe state regions. Existing approaches that rely on smooth Lyapunov barrier functions often fail to guarantee a feasible controller. To overcome this limitation, we introduce the non‐smooth control Lyapunov barrier function (
Jianglin Lan +3 more
wiley +1 more source
Resultants and Lyapunov matrix equations
Linear Algebra and its Applications, 1989 AbstractLet B and Q be real n × n matrices. It is well known that the discrete Lyapunov matrix equation Y − BTYB = Q has a unique solution Y if and only if the resultant R(g(x), xng(1/x)) is nonzero, where g(x) is the characteristic polynomial of B. Here, by reducing the underlying matrix, we obtain the factorization R(g(x), xng(1x)) = sntn(det Θ)2 ...
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Measured‐State Conditioned Recursive Feasibility for Stochastic Model Predictive Control
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this paper, we address the problem of designing stochastic model predictive control (SMPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is rooted in a measured‐state initialization strategy. First, due to the nonzero probability of violating chance‐constraints in the case of unbounded noise ...
Mirko Fiacchini +2 more
wiley +1 more source
Lyapunov, Floquet, and singular vectors for baroclinic waves [PDF]
Nonlinear Processes in Geophysics, 2001 The dynamics of the growth of linear disturbances to a chaotic basic state is analyzed in an asymptotic model of weakly nonlinear, baroclinic wave-mean interaction. In this model, an ordinary differential equation for the wave amplitude is coupled to
R. M. Samelson
doaj
The role of identification in data‐driven policy iteration: A system theoretic study
International Journal of Robust and Nonlinear Control, EarlyView.Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
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Control System for the Navigation of the Agricultural Robots: A Review
Journal of Field Robotics, EarlyView.ABSTRACT Control systems for the navigation of autonomous agricultural robots—particularly those operating in uneven terrain and in the presence of static or dynamic obstacles—have advanced considerably in recent years. As conventional machinery evolves toward increasingly automated systems, the design of reliable navigation controllers has become ...
Edna Carolina Moriones Polanía +3 more
wiley +1 more source