Lyapunov method

Part 2 of ebook "Construction of global lyapunov functions using radial basis functions" provides readers with contents including: radial basis functions; construction of lyapunov functions; global determination of the basin of attraction; application of the method examples; distributions and fourier transformation;...

108p mothoiphong 28-06-2024 1 1   Download

Part 1 book "Advanced control of electrical drives and power electronic converters" includes content: Sensor less control of polyphase induction machines, adaptive position tracking with hard constraints—barrier lyapunov functions approach, predictive position control of a two mass system with an induction motor in a wide range of speed changes, selected methods for a robust control of direct drive with a multi mass mechanical load,... and other contents.

156p dianmotminh00 22-04-2024 6 4   Download

This paper concerns a problem of finite-time stability for a class of linear singular large-scale systems with delays. Based on matrix transformations, Lyapunov function method combined with new estimation techniques, we derive sufficient conditions for solving the finite-time stability of the system. A numerical example is given to illustrate the validity and effectiveness of the theoretical results.

11p vijaychest 24-04-2024 7 2   Download

This study proposes a method for transportation using an omnidirectional automated guided vehicle (AGV). The AGV's omnidirectional mobility is supported by the mecanum wheels. This study consists of two parts, the first part focuses on kinematic modeling for mecanum wheels and extends to robot’s platform using four mecanum wheels.

9p vijeff 27-11-2023 12 6   Download

This paper presents a back-stepping technique to control this system balancing at a vertical upright position-the unstable equilibrium point. Lyapunov-based back-stepping is proposed for a rotary inverted pendulum in this research.

9p vidoctorstrange 06-05-2023 3 1   Download

This paper focuses on a method of designing PD controller for a balancing robot-cart. The uncertainty of model parameters was introduced as constraints in state space. PD controller was designed through choosing Lyapunov function which was transformed by Kalman-Yakubovich-Popov lemma, a basic theoretical method based on frequency criterion.

7p vidoctorstrange 06-05-2023 11 6   Download

In this paper, a sliding mode controller is proposed for global synchronization between two chaotic systems. The interesting point of this controller is that it can help reduce the synchronization time based on the selection of the appropriate gain parameter.

5p viargus 20-02-2023 10 1   Download

Switched reluctance motor (SRM) has many advantages with very strong nonlinearity, hence it is difficult to control. This paper presents a new method to control the speed of switched reluctance motor based on backstepping technique and nonlinear state observation. This controller is first applied for switched reluctance motor with nonlinear drive model.

15p vidudley 20-02-2023 8 2   Download

The paper "Global exponential stability of switched neutral systems with time-varying delays" deals with the problem of global exponential stability for a class of switched neutral systems with time-varying delays. Based on improved Lyapunov-Krasovskii functional method combined with the Leibniz-Newton formula, linear matrix inequalities (LMIs) conditions are proposed for the exponential stability of the considered systems under arbitrary switching signal. A numerical example showing the effectiveness of our conditions is given.

9p runordie3 27-06-2022 10 3   Download

Lecture Power system stability - Lesson 25: Direct Methods, Modeling Wind and Solar provide students with knowledge about stability phenomena and tools; transient energy function (TEF) techniques; mathematical formulation; critical clearing time; Lyapunov's method; constructing the transient energy function; potential energy boundary surface;...

43p hanthienngao 15-04-2022 16 1   Download

The paper deals with the robust state bounding estimation problem of stochastic control systems with discrete time Markovian jump. By using Lyapunov functional method and probability theory, we propose new sufficient conditions to guarantee robust state boundedness for the stochastic control systems. The conditions are derived in terms of linear matrix inequalities, which is simple and convenient for testing and application.

6p nguaconbaynhay12 13-06-2021 23 1   Download

Consider a stochastic evolution equation containing Stratonovich-multiplicative white noise of the form ( , ) du Au f t u u W dt     where the partial differential operator A is positive definite, self-adjoint with a discrete spectrum; and the nonlinear part f satisfies the Lipschitz condition with  belonging to an admissible function space. We prove the existence of a (stochastic) inertial manifold for the solutions to the above equation. Our method relies on the Lyapunov-Perron equation in a combination with the admissibility of function spaces.

16p trinhthamhodang1218 18-03-2021 9 2   Download

One of effective approaches to the study of long - time behavior of infinite dimensional dynamical systems is based on the concept of inertial manifolds which was introduced by C. Foias, G. Sell and R. Temam (see [4] and the references therein). These inertial manifolds are finite dimensional Lipschitz ones, attract trajectories at exponential rate. This enables us to reduce the study of infinite dimensional systems to a class of induced finite dimensional ordinary differential equations.

14p trinhthamhodang1218 18-03-2021 14 2   Download

In this work we study the stability of solution for Itô nonlinear stochastic discrete-time systems. First, we introduce several notions on stability of solutions. Second, by using Lyapunov functionals method we prove some results about stochastic stability of solution.

6p vioregon2711 19-02-2021 20 3   Download

In this paper, we investigate the use of a deep learning method, Deep Belief Network (DBN), combined with chaos theory to forecast chaotic time series. DBN should be used to forecast chaotic time series. First, the chaotic time series are analyzed by calculating the largest Lyapunov exponent, reconstructing the time series by phase-space reconstruction and determining the best embedding dimension and the best delay time. When the forecasting model is constructed, the deep belief network is used to feature learning and the neural network is used for prediction.

11p trinhthamhodang9 04-12-2020 22 2   Download

In this paper, the authors propose a novel adaptive multilayer T-S fuzzy controller (AMTFC) with a optimize soft computing algorithm for a class of robust control uncertain nonlinear SISO systems. First, a new multilayer T-S fuzzy was created by combined multiple simple T-S fuzzy model with a sum function in the output. The multi-layer fuzzy model used in nonlinear identification has many advantages over conventional fuzzy models, but it cannot be created by the writer's experience or the trial and error method. It can only be created using an optimization algorithm.

13p trinhthamhodang9 04-12-2020 15 2   Download

This paper presents a build of Repetitive Control Law with desired trajectory periodic in joint space so reduced on-line computation for the motion system of the Almega16 manipulator. In a Repetitive Control Law always has the desired cycle trajectory with time T and always provides state information update on the time-variant parameters. The true value is compared to the reference set-point and its evaluation result is input to the controller for adjustment.

5p caygaocaolon6 22-07-2020 19 3   Download

Fractional calculus (FC) is widely used in many interdisciplinary branches of science due to its effectiveness in describing and investigating complicated phenomena. In this work, nonlinear dynamics for a new physical model using nonlocal fractional differential operator with singular kernel is introduced. New Routh-Hurwitz stability conditions are derived for the fractional case as the order lies in [0,2). The new and basic Routh-Hurwitz conditions are applied to the commensurate case. The local stability of the incommensurate orders is also discussed.

12p covid19 14-06-2020 28 2   Download

The stability problem for a class of stochastic neural networks with Markovian jump parameters and leakage delay is addressed in this study. The sufficient condition to ensure an exponentially stable stochastic neural networks system is presented and proven with Lyapunov functional theory, stochastic stability technique and linear matrix inequality method.

13p vivalletta2711 11-01-2020 8 0   Download

In this paper, a method to identify the dynamic parameters of ships is proposed. Accordingly, firstly, the parallel model and the Lyapunov method to identify the parameters of the model are used. Then, the proposed method to adjust the dynamic parameters of the model that ensures convergence of parameters of model on the dynamic parameters of the ship is used.

8p viengland2711 23-07-2019 16 0   Download