Zhongyang Fei

Finite-time H∞ control of switched systems with mode-dependent average dwell time

This paper is concerned with finite-time H1 control problem for a class of switched linear systems by using a mode-dependent average dwell time (MDADT) method. The switching signal used in this paper is more general than the average dwell time (ADT), in which each mode has its own ADT. By combining the MDADT and Multiple Lyapunov Functions (MLFs) technologies, some sufficient conditions, which can guarantee that the corresponding closed-loop system is finite-time bounded with a prescribed H1 performance, are derived for the switched systems. Moreover, a set of mode-dependent dynamic state feedback controllers are designed. Finally, two examples are given to verify the validity of the proposed approaches. & 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Improved H∞ filter design for discrete-time Markovian jump systems with time-varying delay

Abstract This paper is concerned with the H ∞ filter design for a class of discrete-time Markovian jump systems with time-varying delay. By constructing an appropriate Lyapunov–Krasovskii functional and applying Wirtinger-based inequality for discrete-time context combined with reciprocally convex approach, an improved stability criterion is obtained. Then a delay-dependent H ∞ performance condition is achieved for the system. Moreover, a desired filter is constructed based on the performance analysis, which guarantees the filtering error system to be stochastically stable and satisfying a prescribed H ∞ performance level. In the end, some numerical examples are provided to illustrate the effectiveness and superiority of the new criterion.

Exponential stability analysis and stabilization of switched delay systems

Abstract This paper investigates the problems of exponential stability analysis and stabilization for switched systems with time-varying delay via a new approach. To study the problems, the original system is transformed into an interconnection system, which is composed of a feedback subsystem and a forward one with a constant delay and an uncertainty disturbance. The exponential stability condition is presented to guarantee the α-input–output stability of the interconnection system based on the scaled small gain theorem, which is further proved to guarantee the exponential stability of the original system under arbitrary switching signal. Then the switching law existence condition is also proposed for exponential stabilization without input signal. Moreover, the problem of stabilization is further solved with admissible controllers obtained via convex optimizations. Both the problems are solved based on the model transformation method and the input–output approach. The merit of the proposed results lies in its reduced conservatism, which is made possible by a precise approximation of the time-varying delay and the scaled small gain theorem. The superiority and effectiveness of our results over the existing ones are illustrated via some numerical examples.

On Finite frequency H∞ performance for discrete linear time delay systems

ABSTRACT This paper is concerned with the finite frequency H∞ performance of discrete linear systems with time delay. The disturbance of the system is considered to be restricted in low/middle/high frequency. A novel summation inequality is proposed by including more free weighed matrices. Then by using generalised Kalman–Yakubovich–Popov Lemma and a Lyapunov–Krasovskii functional like method, a new bounded real lemma is presented for the finite frequency H∞ performance analysis. The advantages and reduced conservatism of the new criterion are illustrated by a classical example from the literature.

Finite-time output feedback control for discrete-time switched linear systems with mode-dependent persistent dwell-time

Abstract This paper is concerned with finite-time output feedback control for a class of discrete-time switched linear systems. The mode-dependent persistent dwell-time (MDPDT) switching is considered, which is more general than dwell-time switching and average dwell-time switching. By using the MDPDT approach and multiple Lyapunov functions technique, sufficient conditions are proposed so that the closed-loop system is finite-time bounded with a guaranteed H ∞ performance. Furthermore, the corresponding criterion is proposed to design a set of dynamic output feedback (DOF) controllers for the switched system. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

Real-Time Compressive Sensing Based Control Strategy for a Multi-Area Power System

With the fast expansion and increasing complexity of power system to meet the ever growing load demand, more information needs to be transmitted for real-time monitoring, control and management purpose. The timely and accurate transmission of a huge quantity of data poses great challenge to the communication network. This paper proposes a novel real-time compressive sensing based strategy for the load frequency control of a multi-area interconnected power system. According to the proposed strategy, the measured data in each control area is compressed before being transmitted through the communication network, and then recovered accurately by the discrete central controller. The proposed strategy can significantly reduce the size of transmitted data and improve the reliability of the communication network by introducing model predictive control method. Simulation results demonstrate the effectiveness and applicability of the proposed compressive sensing based control strategy.