Problem Of Robust Passive Control Research Articles

Network-Based Robust Passive Control for Fuzzy Systems With Randomly Occurring Uncertainties

This paper investigates the problem of robust passive control for networked fuzzy systems, where randomly occurring uncertainties, variable sampling intervals, and constant network-induced delay are taken into account. A discontinuous Lyapunov functional is introduced for the closed-loop systems, which takes full advantage of the sawtooth structure of the time-varying interval delay induced by sample-and-hold and signal transmission. A sufficient condition is proposed to ensure the closed-loop system to be robustly stochastically passive. Then, the problem of robust passive control is solved. Two examples are utilized to illustrate the advantages and effectiveness of the results that are proposed in this paper.

Delay-Dependent Robust Passive Control for Uncertain Discrete-Time Systems with Time Delays

This paper considers the problem of robust passive control for uncertain discrete systems with time-varying delays. We pay attention to designing a state feedback controller which guarantees the passivity of the closed-loop system for all admissible uncertainties. In terms of a linear matrix inequality, a sufficient condition for the solvability of this problem is presented and the explicit expression of the desired state feedback controller is given.

Robust passive for uncertain Markovian jump system with mode-dependent time delays

This paper is concerned with the problem of robust passive control for uncertain systems with mode-dependent time delays and Markovian jump parameters. The time delay varies in an interval and depends on the mode of operation. The problem aims at designing a new state feedback controller which guarantees the passivity of the close-loop system for all admissible uncertainties. In terms of a linear matrix inequality (LMI) and Lyapunov function, the passive stability criteria are formulated. A numerical example illustrates the effectiveness of the method is given.

Robust Passive Control for Uncertain Time-Delay Singular Systems

This paper investigates the problem of robust passive control for singular systems which contain structure uncertainties and time delay. Three types of controllers are considered, namely, state feedback controller, observer-based state feedback controller, and dynamic output feedback controller, and the controllers are constructed such that closed-loop systems are generalized quadratically stable and passive with dissipation eta. Design procedures and the algorithm are given for obtaining the maximum dissipation, and at the same time, the maximum guaranteed dissipation controllers are proposed. Illustrative examples are presented to show the validity and applicability of the proposed methods.

Delay‐dependent robust passive control for a class of nonlinear systems with time‐varying delays

AbstractIn this paper, the problem of robust passive control for a class of nonlinear systems with time‐varying delays is considered. The uncertainties investigated in this paper are norm bounded and time varying, and they enter all system matrices. Based on the Lyapunov–Krasovskii functionals approach, a new robust passive control criterion is proposed in terms of linear matrix inequalities, which is dependent on the size of time delay. We also design a state feedback controller that guarantees a robust asymptotically stable and strictly passive closed‐loop system for all admissible uncertainties. Finally, two numerical examples are given to illustrate the effectiveness of the developed techniques. Copyright © 2007 John Wiley & Sons, Ltd.

Robust passive control for Internet-based switching systems with time-delay

In this paper, based on remote control and local control strategy, a class of hybrid multi-rate control models with time-delay and switching controllers are formulated and the problem of robust passive control for this discrete system is investigated. By Lyapunov–Krasovskii function and applying it to a descriptor model transformation some new sufficient conditions in form of LMIs are derived. A numerical example is given to illustrate the effectiveness of the theoretical result.

Robust passive control for uncertain discrete-time systems with time-varying delays

This paper considers the problem of robust passive control for uncertain discrete systems with time-varying delays. The system under consideration is subject to time-varying norm-bounded parameter uncertainties in both the state and measured output matrices. Attention is focused on the design of a state feedback controller and a dynamic output feedback controller which guarantees the passivity of the closed-loop system for all admissible uncertainties. In terms of a linear matrix inequality, a sufficient condition for the solvability of this problem is presented, which is dependent on the size of the delay. When the linear matrix inequality is feasible, the explicit expression of the desired state feedback controller and output feedback controller are given. Finally, an example is provided to demonstrate the effectiveness of the proposed approach.