A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered. By constructing the impulsive evolution operator, the existence of T0-periodic PC-mild solution for homogeneous linear impulsive periodic system with time-varying generating operators is reduced to the existence of fixed point for a suitable operator. Further the alternative res...

Control systems can drift into instability or, less catastrophically, exhibit resonance behaviour. One role for adaptive controllers is to learn sufficient information concerning the dominant closed-loop system mode so as to apply effective feedback to dampen these modes. In such situations the adaptive loop augments the fixed controller feedback loop. This paper presents an algorithm for adapt...

This paper presents the design of a robust controller for uncertain systems whose the parameters are bounded by intervals. For that, we propose to combine the standard H∞ approach with interval tools in order to ensure robust performances. The main advantantages of the proposed approach are: 1) the natural and ease of modeling of the uncertain parameters thanks to intervals, 2) and the derivati...

This paper proposes an optimized control policy over type one diabetes. Type one diabetes is taken into consideration as a nonlinear model (Augmented Minimal Model), which is implemented in MATLAB-SIMULINK. This Model is developed in consideration of the patient's conditions. There are some uncertainties in the regarded model due to factors such as blood glucose concentration, daily meals or su...

This paper focuses on the cooperative adaptive fuzzy control of high-order nonlinear multi-agent systems. The communication network is a undirected graph with a fixed topology. Each agent is modeled by a high-order integrator incorporating with unknown nonlinear dynamics and an unknown disturbance. Under the backstepping framework, a robust adaptive fuzzy controller is designed for each agent s...

A cart-double pendulum system is an underactuated mechanical that has three degrees of freedom (DOF) and two actuators. This paper discusses the stabilizing control problem for this non-linear system. First, input relationship constructed to transform 3-DOF into a 2-DOF reduced-order in fixed time. Second, swing-up controller designed make infinitely approach upright equilibrium point. After th...

This paper considers a disturbance attenuation problem for a linear discrete time invariant system under random disturbances with imprecisely known distributions. The statistical uncertainty is measured in terms of the mean anisotropy functional. The disturbance attenuation capabilities of the system are quantified by the anisotropic norm which is a stochastic counterpart of the H∞ norm. The de...