Differential-Difference Equations. By Richard Bellman and Kenneth L. Cooke. Pp. xvi, 465. 1963. (Academic Press)

Convex Analysis: (pms-28)

This paper investigates fast finite-time control of nonlinear dynamics using terminal sliding-mode (TSM) scheme. Some new norms of fast TSM strategies are proposed, and a faster convergence rate is established in comparison with the conventional fast TSM. A novel concept of nonsingular fast TSM, which is able to avoid the possible singularity during the control phase, is adopted in the robust high-precision control of uncertain nonlinear systems. Numerical simulation on a two-link rigid robot manipulator demonstrates the effectiveness of the proposed algorithm. Copyright © 2010 John Wiley & Sons, Ltd.

Nonsingular fast terminal sliding-mode control for nonlinear dynamical systems

Based on the high-dimension Lorenz chaotic system and perceptron model within a neural network, a chaotic image encryption system with a perceptron model is proposed. This paper describes the algorithm flow in detail, and analyses the cryptographic security. The experimental results show that this algorithm has high security, and strong resistance to the existing attack methods.

A chaotic image encryption algorithm based on perceptron model

In this paper, a novel finite time fault tolerant control (FTC) is proposed for uncertain robot manipulators with actuator faults. First, a finite time passive FTC (PFTC) based on a robust nonsingular fast terminal sliding mode control (NFTSMC) is investigated. Be analyzed for addressing the disadvantages of the PFTC, an AFTC are then investigated by combining NFTSMC with a simple fault diagnosis scheme. In this scheme, an online fault estimation algorithm based on time delay estimation (TDE) is proposed to approximate actuator faults. The estimated fault information is used to detect, isolate, and accommodate the effect of the faults in the system. Then, a robust AFTC law is established by combining the obtained fault information and a robust NFTSMC. Finally, a high-order sliding mode (HOSM) control based on super-twisting algorithm is employed to eliminate the chattering. In comparison to the PFTC and other state-of-the-art approaches, the proposed AFTC scheme possess several advantages such as high precision, strong robustness, no singularity, less chattering, and fast finite-time convergence due to the combined NFTSMC and HOSM control, and requires no prior knowledge of the fault due to TDE-based fault estimation. Finally, simulation results are obtained to verify the effectiveness of the proposed strategy.

Finite Time Fault Tolerant Control for Robot Manipulators Using Time Delay Estimation and Continuous Nonsingular Fast Terminal Sliding Mode Control

Finite-time chaos synchronization of unified chaotic system with uncertain parameters

Finite-time chaos control via nonsingular terminal sliding mode control

Full-order and reduced-order observers for one-sided Lipschitz nonlinear systems using Riccati equations

The one-sided Lipschitz non-linear system is a generalisation of its well-known Lipschitz counterpart and possesses inherent advantages with respect to conservativeness. In this study, the authors deal with the problem of observer design for one-sided Lipschitz non-linear systems by using the linear matrix inequality (LMI) approach. Sufficient conditions that ensure the existence of observers for one-sided Lipschitz non-linear systems are established and expressed in terms of linear matrix inequalities (LMIs), which are easily and numerically tractable via standard software algorithms. It is shown that the proposed conditions are less conservative and more simpler than some existing results in recent literature. Simulation results on two examples are given to illustrate the effectiveness and advantages of the proposed design.

Zhengzhi Han

Papers

Finite-time chaos synchronization of unified chaotic system with uncertain parameters

Finite-time chaos control via nonsingular terminal sliding mode control

Full-order and reduced-order observers for one-sided Lipschitz nonlinear systems using Riccati equations

Non-linear observer design for one-sided Lipschitz systems: An linear matrix inequality approach

Sliding mode control for chaotic systems based on LMI