Robust constrained model predictive control based on parameter-dependent Lyapunov functions

The problem of robust constrained model predictive control (MPC) of systems with polytopic uncertainties is considered in this paper. New sufficient conditions for the existence of parameter-dependent Lyapunov functions are proposed in terms of linear matrix inequalities (LMIs), which will reduce the conservativeness resulting from using a single Lyapunov function. At each sampling instant, the corresponding parameter-dependent Lyapunov function is an upper bound for a worst-case objective function, which can be minimized using the LMI convex optimization approach. Based on the solution of optimization at each sampling instant, the corresponding state feedback controller is designed, which can guarantee that the resulting closed-loop system is robustly asymptotically stable. In addition, the feedback controller will meet the specifications for systems with input or output constraints, for all admissible time-varying parameter uncertainties. Numerical examples are presented to demonstrate the effectiveness of the proposed techniques

Observer-Based Synchronization of a New Hybrid Chaotic System and Its Application to Secure Communications

This paper presents an interesting issue of using hybrid dynamical system to chaos synchronization and its application in secure communication using a new 5D hyperchaotic systems. The slave system is modeled by an unknown input observer, in which the unknown input issued from the hybrid system is the transmitted information. Based on the descriptor observer design, the Lyapunov stability theory and some robustness criteria, new sufficient synthesis conditions are given in terms of linear matrix inequalities that we can obtain the estimations of both the hybrid system states and the transmitted signals. Numerical examples are provided to show the performances of the proposed approach

Passivity-Based Synchronization of Unified Chaotic System

This letter further improves and extends the work of Kemih et al. In detail, feedback passivity synchronization with only one controller for a unified chaotic system is discussed here. It is noticed that the unified system contains the noted Lorenz, Lu, and Chen systems. Numerical simulations are given to show the effectiveness of these methods

Backstepping control of a wind turbine for low wind speeds

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Circuit Simulation of an Analog Secure Communication based on Synchronized Chaotic Chua’s System

Abstract: This paper presents an effective technique for both synchronization and secure communication. In particular, an adaptive sliding mode observer is developed and practically implemented. Only one component of the state vector of the transmitter, that satisfies the observability matching condition, is sent to the receiver via a public channel, which is a sliding mode observer. This observer is able to estimate the state vector of the transmitter and then, reconstruct the unknown information hidden in the transmitted with inclusion encryption. Finally, the chaotic secure communication system is simulated with matlab and then practically implemented by electrical circuits with Multisim software and Ultiboard software

Impulsive Control and Synchronization of a New 5D Hyperchaotic System

This paper investigates the control and the synchronization of a new 5D hyperchaotic system. Based on the impulsive control theory, some new and less conservative criteria for the global exponential stability and asymptotical stability of impulsively controlled 5D hyperchaotic system, are obtained with varying impulsive interval. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed control and synchronization methodology