This paper deals with the class of continuous-time singular linear systems with multiple timevarying delays in a range. The global exponential stability problem of this class of systems is addressed. Delay-range-dependent sufficient conditions such that the system is regular, impulse free and α-stable are developed in the linear matrix inequality (LMI) setting. Moreover, an estimate of the conv...

This paper presents a methodology for designing a fault-tolerant control (FTC) system for linear parameter varying (LPV) systems subject to actuator saturation fault. The FTC system is designed using linear matrix inequality (LMI) and model estimation techniques. The FTC system consists of a nominal control, fault diagnostic, and fault accommodation schemes. These schemes are designed to achiev...

This paper investigates the problems of robust exponential stability and stabilization for uncertain linear non-autonomous control systems with discrete and distributed time-varying delays. Based on combination of the Riccati differential equation approach, linear matrix inequality (LMI) techinque and the use of suitable Lyapunov-Krasovskii functional, new sufficient conditions for the robust e...

In this paper, the method of robust sliding mode control for a class of switched neutral control systems with mismatched fractional form parametric uncertainties is investigated. A delay-dependent sufficient condition for the existence of linear sliding surfaces is given in term of linear matrix inequality(LMI), and sliding mode controllers based on reaching law are developed, which are to ensu...

In this paper, robust sliding mode control is investigated for a class of uncertain systems with time-delay in discrete-time. The uncertainties include both mismatched parametric uncertainties in the state model and the matched external disturbance. After deriving sufficient conditions for the existence of linear sliding surfaces based on linear matrix inequality (LMI), robust reaching motion c...

This paper deals with the robust fault detection(FD) problem in low frequency domain for linear timedelay systems. The H∞ norm and H− index are employed to measure the robustness to unknown inputs and the sensitivity to faults, respectively. The main results include derivation of a sufficient condition for the existence of a robust fault detection observer and a construction of it based on the ...

In this paper, an active fault tolerant control (FTC) strategy is presented for linear dynamic systems. The robust observer-based fault detection and isolation (FDI) systems are applied to guide the reconfiguration of controller parameters to achieve the optimal control performance during different operating conditions of the system: fault-free, fault detected and fault isolated. The selection ...

In this work we consider robust control of discrete-time linear systems affected by time-varying additive disturbance inputs. We present a linear matrix inequality (LMI) based design technique that takes into account in an explicit manner, by means of a Minkowski function, the shape of the set in which the disturbances are bounded. This technique allows one to obtain tight bounds on the perform...

Abstract: This paper addresses the asymptotic stability analysis problem for a class of linear large-scale systems with time delay in the state of each subsystem as well as in the interconnections. Based on the Lyapunov stability theory, a delay-dependent criterion for stability analysis of the systems is derived in terms of a linear matrix inequality (LMI). Finally, a numerical example is give...

The control problem of unicycle-like vehicles such as mobile robots is considered. More exactly, we propose the use of a linear parameter varying (LPV) approach to obtain both stabilization of the kinematic model together with high accuracy in trajectory tracking. This objective has been achieved by exploiting the advantages oŒered by linear matrix inequality (LMI) theory and by introducing in ...