Showing 4 results for Linear Matrix Inequality
M. Mahmodi Kaleybar, R. Mahboobi Esfanjani,
Volume 10, Issue 2 (6-2014)
Abstract
In this paper, improved conditions for the synthesis of static state-feedback controller are derived to stabilize networked control systems (NCSs) subject to actuator saturation. Both of the data packet latency and dropout which deteriorate the performance of the closed-loop system are considered in the NCS model via variable delays. Two different techniques are employed to incorporate actuator saturation in the system description. Utilizing Lyapunov-Krasovskii Theorem, delay-dependent conditions are obtained in terms of linear matrix inequalities (LMIs) to determine the static feedback gain. Moreover, an optimization problem is formulated in order to find the less conservative estimate for the region of attraction corresponding to different maximum allowable delays. Numerical examples are introduced to demonstrate the effectiveness and advantages of the proposed schemes.
M. R. Ramezani-Al, A. Vahidian Kamyad, N. Pariz,
Volume 11, Issue 2 (6-2015)
Abstract
Uncertain switched linear systems are known as an important class of control systems. Performance of these systems is affected by uncertainties and its stabilization is a main concern of recent studies. Existing work on stabilization of these systems only provides asymptotical stabilization via designing switching strategy and state-feedback controller. In this paper, a new switching strategy and a state-feedback control law are designed to exponentially stabilize Uncertain Discrete-Time Switched Linear Systems (UDSLS), considering a given infinite-horizon cost function. Our design procedure consists of three steps. First, we generalize the exponential stabilization theorem of nonlinear systems to UDSLS. Second, based on the Common Lyapunov Function technique, a new stabilizing switching strategy is presented. Third, a sufficient condition on the existence of state-feedback controller is provided in the form of Linear Matrix Inequality. Besides, convergence rate is obtained and the upper bound of the cost is calculated. Finally, effectiveness of the proposed method is verified via numerical example.
M. Mohammadian, H. R. Momeni, M. Tahmasebi,
Volume 11, Issue 3 (9-2015)
Abstract
Artificially regulating gene expression is an important step in developing new
treatment for system-level disease such as cancer. In this paper, we propose a method to
regulate gene expression based on sampled-data measurements of gene products
concentrations. Inherent noisy behaviour of Gene regulatory networks are modeled with
stochastic nonlinear differential equation. To synthesize feedback controller, we formulate
sampling process as an impulsive system. By using a new Lyapunov function with
discontinuities at sampling times, state feedback gain that guarantees exponential meansquare
stability and H&infin performance is derived from LMIs. These LMIs also determine the
maximum allowable time between sampling points. A numerical example and a practical
application are presented to justify the applicability of the theoretical results
N. Bensaker, H. Kherfane, B. Bensaker,
Volume 16, Issue 2 (6-2020)
Abstract
In this study, delay-dependent robust stability problem is investigated for uncertain neutral systems with discrete and distributed delays. By constructing an augmented Lyapunov-Krasovskii functional involving triple integral terms and taking into account the relationships between the different delays, new less conservative stability and robust stability criteria are established first using the delay bi-decomposition approach then generalized with the delay N-decomposition technique. Some integral inequalities are employed to deal with the cross terms and few free weighing matrices are introduced to reduce the conservatism. The proposed criteria are expressed in terms of linear matrix inequalities. The effectiveness of the proposed stability conditions is illustrated by a numerical example.
