This paper studies the problem of delay-range-dependent stability for continuous-time system with interval delay. Based on the dividing of the delay and reciprocally convex combination technique, some new delaydependent stability conditions are derived by constructing a novel Lyapunov functional. These criteria are expressed as a set of linear matrix inequalities (LMIs), which can be checked us...

In this paper, we propose a robust controller design method for discrete-time systems with sector-bounded nonlinearities and time-varying delay. Based on the Lyapunov theory, delaydependent stabilization criteria are obtained in terms of linear matrix inequalities (LMIs) by constructing the new Lyapunov-Krasovskii functional and using some inequalities. A robust state feedback controller is des...

Motivated by the problem of stability in droop-controlled microgrids with delays, we consider a class of port-Hamiltonian systems with delayed interconnection matrices. For this class of systems, delaydependent stability conditions are derived via the Lyapunov–Krasovskii method. The theoretical results are applied to an exemplary microgrid with distributed rotational and electronic generation a...

This paper considers the problem of robust stability analysis for uncertain Takagi–Sugeno (T–S) fuzzy systems with time-varying delays. By constructing an augmented Lyapunov–Krasovskii functional and utilizing Finsler’s Lemma, a novel criterion for delaydependent robust stability of T–S fuzzy model with time-varying delay is derived in terms of linear matrix inequalities (LMIs). Also, a further...

This paper deals with the problem of delay-dependent stability criterion of arbitrary switched linear systems with time-varying delay. Based on switched quadratic Lyapunov functional approach and free-weighting matrix approach, some linear matrix inequality criterions are found to guarantee delay-dependent asymptotically stability of these systems. Simultaneously, arbitrary switched linear syst...

Abstract: This paper presents a convex optimization method for observer-based mixed H2/H∞ control design of linear systems with time-varying state, input and output delays. Delaydependent sufficient conditions for the design of a desired observer-based control are given in terms of linear matrix inequalities (LMIs). An observer-based controller which guarantees asymptotic stability and a mixed ...

A generalized approach to the problem of quantized filtering is investigated by designing a set of decentralizedH1 filters for a class of linear interconnected continuous-time systems with unknown-but-bounded couplings and interval delays and where the quantizer has arbitrary form. An LMI-based method using a decentralized quantized filter is designed at the subsystem level to render the global...

The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded ga...

The problem of data packet dropout and transmission delays induced by communication channel in networked control systems (NCSs) is studied in this paper. We model the continuous-time NCSs with data packet dropout and transmission delays as ordinary linear systems with time-varying input delays. By using the Lyapunov–Razumikhin function techniques, delaydependent condition on the stabilization o...

This paper studies the H∞ control problem for a class of Takagi-Sugeno (T-S) fuzzy neutral systems with time-varying delays and actuator saturation, where the delay in neutral-type term includes a fast-varying case (i.e., the derivative of delay is more than 1), which is never considered in current literature for this systems. The new LMI-based delaydependent H∞ control results for this systems...