By introducing sliding mode predictive control (SMPC) techniques, a controller with passivity of a class of discrete-time uncertain singular systems is proposed in this paper. A new switching surface function is designed by taking the singular matrix into account, thus the resulting sliding mode dynamics is a full-order uncertain singular time-varying delay system. Due to feedback correction an...

Singular systems have been studied extensively during the last two decades due Abstract to their many practical applications. Such systems possess numerous properties not shared by the well-known state variable systems. This paper considers the linear tracking problem for the continuous-time singular systems. The Hamilton-Jacobi theory is used in order to compute the optimal control and associa...

Abstract: We consider an optimal control problem of the Mayertype for a single-input, control affine, nonlinear system in small dimension. In this paper, we analyze effects that a modeling extension has on the optimality of singular controls when the control is replaced with the output of a first-order, time-invariant linear system driven by a new control. This analysis is motivated by an optim...

Abstract: This paper deals with stability of discrete-time nonlinear Lur’e-type systems. Through the singular perturbations technique, the original system is reduced to a block-diagonal form with slow and fast decoupled modes. Stability conditions of the two-time-scale decoupled model based on Borne-Gentina practical stability criterion and the use of matrices in the Benrejeb arrow form are dev...

In this paper, the problem of bifurcation of limit cycles from degenerate singular point and infinity in a class of septic polynomial differential systems is investigated. Using the computer algebra system Mathematica, the limit cycle configurations of {(8), 3} and {(3), 6} are obtained under synchronous perturbation at degenerate singular point and infinity. To our knowledge, up to now, this i...

Consider the linear time-invariant singular system Eẋ(t) = Ax(t) + Bu(t) (1) where E, A ∈ Rn×n, B ∈ Rm×n ,C ∈ R p×n and D ∈ R p×m . The system is assumed to be regular det [s E − A] = 0. Systems of the above form are usually called singular systems, descriptor systems, generalized state space systems, semistate systems, etc. It is easily seen that when E is non-singular then (1) may be rewritte...

with rapid development in information gathering technologies and access to large amounts of data, we always require methods for data analyzing and extracting useful information from large raw dataset and data mining is an important method for solving this problem. clustering analysis as the most commonly used function of data mining, has attracted many researchers in computer science. because o...

The sense of singular perturbation reduction is close to the meaning of the longand short-run management problem. In this paper, we propose the decomposition of a class of manufacturing systems management using the singular perturbation methods. Controlled Stochastic Petri Nets are used for the modelling. The application of singular perturbation techniques on the Markov Reward associate model, ...