The design of variable-structure control (VSC) systems for a class multivariable, nonlinear, time-varying is presented. Using the Utkin-Drazenovic method equivalent and generalized Lyapunov stability concepts, VSC described in unified manner. Complications that arise due to multiple inputs are examined, several approaches useful overcoming them developed. Recent developments investigated, as kinship deterministic approach uncertain systems. All points illustrated by numerical examples....

Preface. MATHEMATICAL REVIEW. Methods of Proof and Some Notation. Vector Spaces Matrices. Transformations. Concepts from Geometry. Elements Calculus. UNCONSTRAINED OPTIMIZATION. Basics Set--Constrained Unconstrained Optimization. One--Dimensional Search Methods. Gradient Newton's Method. Conjugate Direction Quasi--Newton Solving Ax = b. Optimization Neural Networks. Genetic Algorithms. LINEAR PROGRAMMING. Introduction to Linear Programming. Simplex Duality. Non--Simplex NONLINEAR CONSTRAINED...

A Lyapunov-based stabilizing control design method for uncertain nonlinear dynamical systems using fuzzy models is proposed. The controller constructed a model of the process to be controlled. obtained from truth modeling approach. represents detailed description dynamics. used in simulation experiment evaluate performance design. generating local that constitute Sufficient conditions stability and stabilizability state feedback controllers are given. results illustrated with numerical...

This note proposes new types of observers for nonlinear dynamical systems subjected to bounded nonlinearities or uncertainties. The design these utilizes techniques related variable structure theory. A measure the rate at which estimates converge actual states is derived.

Machine learning (ML) is widely used for key tasks in Connected and Automated Vehicles (CAV), including perception, planning, control. However, its reliance on vehicular data model training presents significant challenges related to in-vehicle user privacy communication overhead generated by massive volumes. Federated (FL) a decentralized ML approach that enables multiple vehicles collaboratively develop models, broadening from various driving environments, enhancing overall performance,...

ABSTRACT This paper contains a comparative study of four techniques for observing the slates non-linear systems. The first technique examined is inspired by Bestle and Zeitz, ICrener Respondek, In this method transformation found that brings system into canonical form, from where observer design facilitated. second attributable to Thau. method, error between system's true state output shown be asymptotically convergent zero provided an additional assumption valid. third due Baumann Rugh....

Methods for identification and control of dynamical systems by adalines, two-layer, three-layer feedforward neural networks (FNNs) using generalized weight adaptation algorithms are discussed. The FNNs considered contain odd nonlinear operators in both the neurons algorithms. Two application examples, each involving a system, considered. first is system's forward inverse dynamics. second system coordination feedback combined with dynamics identification. Simulation results used to verify...

Control of a class nonlinear/uncertain systems is discussed using variable-structure approach. Observations the states such also considered. The natural extension to an observer-controller design illustrated computer simulation example theta -r manipulator. Next, problem path planning addressed combined strategy. aspects hardware implementation proposed are then analyzed.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

A class of variable structure output feedback controllers for uncertain dynamic systems with bounded uncertainties is proposed. No statistical information about the elements assumed. approach and a geometric to analysis synthesis system zeros are employed in proposed controllers.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

A new criterion for asymptotic stability of solutions certain linear differential-difference equations (independent the delay duration) is given in terms a complex Lyapunov matrix equation.

The problem of actuator fault estimation and fault-tolerant control for a class uncertain nonlinear systems using Takagi-Sugeno fuzzy models is investigated. A design procedure nonfragile proportional-integral (PI) observer proposed to estimate the states system reconstruct abrupt (modeled as step-like faults) incipient signals. Subsequently, controller constructed, which informed by PI observer. Sufficient conditions existence are provided in form linear matrix inequalities. architecture...

Connected and Automated Vehicles (CAVs) represent a rapidly growing technology in the automotive domain sector, offering promising solutions to address challenges such as traffic accidents, congestion, pollution. By leveraging CAVs, we have opportunity create transportation system that is safe, efficient, environmentally sustainable. Machine learning-based methods are widely used CAVs for crucial tasks like perception, planning, control, where machine learning models solely trained with...

Most of the current literature focused on centralized learning is centered around celebrated average-consensus paradigm and less attention devoted to scenarios where communication between agents may be imperfect. This paper presents three different algorithms Decentralized Federated Learning (DFL) in presence imperfect information sharing modeled as noisy channels. The first algorithm, Noisy (FedNDL1) comes from literature, noise added algorithm parameters simulate scenario shares form a...

Deals with the use of neural networks to solve linear and nonlinear programming problems. The dynamics these are analyzed. In particular, canonical circuit is shown be a gradient system that seeks minimize an unconstrained energy function can viewed as penalty method approximation original problem. Next, implementations correspond dynamical examined. It different than circuit, due saturation limits op-amps in circuit. also noted this difference cause converge state To remedy problem, new...

A systematic design methodology for state observers a large class of nonlinear systems with bounded exogenous inputs (disturbance and sensor noise) is proposed. The nonlinearities under consideration are characterized by an incremental quadratic constraint parameterized set multiplier matrices. Linear matrix inequalities developed to construct observer gains, which ensure that performance output based on the estimation error satisfies prescribed degree accuracy. Furthermore, conditions...

In this paper, an explicit nonlinear model predictive controller (ENMPC) for the stabilization of systems is investigated. The proposed ENMPC constructed using tensored polynomial basis functions and samples drawn from low-discrepancy sequences. Solutions a finite-horizon optimal control problem at sampled nodes are used (1) to learn inner outer approximation feasible region support vector machines, (2) construct surface on computed regression or sparse-grid interpolation, depending shape...

In this paper we study three different classes of neural network models for solving linear programming problems. We investigate the following characteristics each model: model complexity, complexity individual neurons, and accuracy solutions. Simulation examples are given to illustrate dynamical behavior model.

A class of neural networks that solve linear programming problems is analyzed. The considered are modeled by dynamic gradient systems constructed using a parametric family exact (nondifferentiable) penalty functions. It proved for given problem and sufficiently large parameters, any trajectory the network converges in finite time to its solution set. For analysis, Lyapunov-type theorems developed convergence nonsmooth sliding mode invariant sets. results illustrated via numerical simulation examples.

A stability analysis is performed for the brain-state-in-a-box (BSB) neural models with weight matrices that need not be symmetric. The implementation of associative memories using analyzed class also addressed. In particular, authors modify BSB model so they can better control extent domains attraction stored patterns. Generalizations results obtained to a cellular networks are discussed.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

A typical antilock brake system (ABS) senses when the wheel lockup is to occur, releases brakes momentarily, and then reapplies spins up again. In this paper, a genetic neural fuzzy ABS controller proposed that consists of nonderivative optimizer fuzzy-logic components (FLCs). The finds optimal slips maximize road adhesion coefficient. are for front rear wheels. inputs FLC obtained by optimizer. compute torques force actual track slips; these minimize vehicle stopping distance. FLCs tuned...

The problem of stabilization and observation uncertain and/or nonlinear dynamic systems for which matching conditions are not satisfied is investigated. No statistical description elements assumed. quantities described only in terms bounds on their possible sizes. Stabilizing feedback controllers observers proposed whose design based the constructive use Lyapunov functions Bellman-Gronwall lemma.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML"...