........................................................................................................................................................ 2 Acknowledgements ....................................................................................................................................... 3 Introduction .............................................................................

This paper is concerned with the stabilization of LPV time delay systems with time varying delays by parameter dependent state-feedback. First a stability test with H∞ performance is given through a parameter dependent LMI. This stability test is derived from a parameter dependent Lyapunov-Krasovskii functional combined with the Jensen’s inequality. From this result we derive a state-feedback e...

This note considers the problems of stability and stabilization for discretetime switched nonlinear systems with time-varying delay. The nonlinearity is assumed to satisfy a special constraint. The purpose of the robust stability problem is to give conditions such that the discrete-time switched nonlinear delay system is exponentially stable, while the purpose of stabilization is to design a st...

has the desired specifications. The main role of state feedback control is to stabilize a given system so that all closed-loop eigenvalues are placed in the left half of the complex plane. The following theorem gives a condition under which is possible to place system poles in the desired locations. Theorem 8.1 Assuming that the pair is controllable, there exists a feedback matrix such that the...

In this paper the problem of H∞-control design is presented for a class of discrete-time single-input multi-output bilinear systems with undampered natural response. The sufficient conditions for the existence of the global H∞-controllers are obtained via homogeneous-like state feedback and dynamic output feedback, respectively. The technique used in this paper is based on the concepts of dissi...

We show that in the regime in which feedback control is most effective - when measurements are relatively efficient, and feedback is relatively strong - then, in the absence of any sharp inhomogeneity in the noise, it is always best to measure in a basis that does not commute with the system density matrix than one that does. That is, it is optimal to make measurements that disturb the state on...

The work proposed in this paper aim to design tow controllers for attitude stabilization of a Quadrotor UAV. The first is a classical PID controller; the second is a nonlinear state feedback controller which designed using multiple model approach. We start with the design of a Takagi-Sugeno (T-S) model for Quadrotor modelling, and then we use Linear Matrix Inequality (LMI), and PDC (Parallel Di...

In this paper, a dynamical supply networks model with stochastic switched topology is presented, in which the stochastic switched topology is dependent on a continuous time Markov process. The goal is to design the state-feedback control strategies to stabilize the dynamical supply networks. Based on Lyapunov stability theory, sufficient conditions for the existence of state feedback control st...

u = a(x) + b(x)v, (3) where b(x) is a nonsingular matrix, and v ∈ Rp is a transformed or virtual input, so that the inputoutput response between v and y is linear. This requirement is called input-output linearization because only the input-output map h is made linear. On the other hand, full state linearization refers to the case when the whole state x must be “linearized”. Linearization of th...