A class of switched non-quadratic Lyapunov functions is considered in this paper. The function is associated with discrete-time switched systems subject to mode-dependent cone bounded nonlinearities and saturation actuator. These Lyapunov functions depend on the switched nonlinearities and on the active mode, instead of the time-invariant Lur’e-type function. The only assumption considered here...

This study introduces the fuzzy Lyapunov function to the fuzzy PID control systems, modified fuzzy systems, with an optimized robust tracking performance. We propose a compound search strategy called conditional linear matrix inequality (CLMI) approach which was composed of the proposed improved random optimal algorithm (IROA) concatenated with the simplex method to solve the linear matrix ineq...

In this paper, observer design problem for rectangular discrete-time singular systems with time-varying delay is discussed. Based on restricted system equivalent (RSE) transformations and by introducing new state vectors, the problem is transformed into observer design problem for time-varying delay discrete-time standard state-space systems. By Lyapunov function method and linear matrix inequa...

This paper proposes a delay-dependent leader-following consensus condition of multi-agent systems with both communication delay and probabilistic self-delay. The proposed methods employ a suitable piecewise Lyapunov-Krasovskii functional and the average dwell time approach. New consensus criterion for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily ...

In this paper, the robust non-fragile guaranteed cost-control problem is studied for a class of uncertain linear large-scale systems with time-delays in subsystem interconnections and given quadratic cost functions. The uncertainty in the system is assumed to be norm-bounded and time-varying. Also, the state-feedback gains for subsystems of the large-scale system are assumed to have norm-bounde...

Abstract—This paper investigates the problem of H∞ static output feedback (SOF) control for discrete-time switched linear systems with average dwell time switching. By using the multiple Lyapunov function technique, a switched SOF controller is designed such that the closed-loop system is exponentially stable and achieves a weighted L2-gain. Sufficient conditions for SOF control are derived and...

This paper considers the guaranteed cost control problem for a class of uncertain discrete T-S fuzzy systems with time delay and a given quadratic cost function. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequalities (LMI) approach by constructing a specific nonquadratic Lyapunov-Krasovskii functional and a nonlinear PDC-like control law....

This paper deals with discrete-time switched Lur’e systems including an additional saturated input and a bounded energy disturbance. Two control design issues are investigated related to the L2-induced gain and the rejection of disturbance. An common optimization problem under LMI conditions and differing from the cost function to optimize, is provided to offer a solution to the both problems. ...

This paper introduces the robust stability of delay Lurie-type neutral control system. A new criterion is presented in term of linear matrix inequalities by using Lyapunov method. Since the criterion takes the size of the neutral and discrete delays into account, it is less conservative than the existing ones. Examples are given to that illustrate the advantage of our approach and reciprocal in...

New sufficient dilated linear matrix inequality LMI conditions for the H∞ static output feedback control problem of linear continuous-time systems with no uncertainty are proposed. The used technique easily and successfully extends to systems with polytopic uncertainties, by means of parameter-dependent Lyapunov functions PDLFs . In order to reduce the conservatism existing in early standard LM...