In this paper, a new method for the approximation of discrete time state-affine systems is proposed. The method is based on the diagonalization of proposed generalized controllability and obeservability Gramians. The reduction algorithm employs singular value decomposition to retain states corresponding to dominant singular values of these Gramians. The proposed method can be considered as the ...

This paper explores the utility of a discrete singular convolution algorithm for vibration analysis. A number of di!erent realizations of singular convolution kernels are selected to illustrate the present algorithm. Vibration analysis of strings, rods, beams, diatomic molecules, membranes, waveguides and thin plates are utilized to test numerical accuracy and speed of convergence of the presen...

In this paper, a strategy involving the combination of optimal discrete-time sliding-mode control and recurrent neural networks is proposed for class uncertain linear systems. First, performance index based on reaching law signal defined. Then, constrained quadratic programming problem formulated considering limitations as static constraint. The dynamic algebraic model network derived optimizat...

    Discrete event system,   Supervisory control,   Petri Net, Constraint   This paper presents a method to manage the time in a manufacturing system for obtaining an optimized model. The system in this paper is modeled by the timed Petri net and the optimization is performed based on the structural properties of Petri nets. In a system there are some states which are called forbidden states an...

In this paper, we investigate the robust stability problem of a class of LTI discrete uncertain singularly perturbed time-delay systems. If the singular perturbation parameter of these systems is sufficiently small, they can be separated into two reduced-order subsystems, the slow subsystem and fast subsystem. Two stability criteria for the slow and fast subsystem of the uncertain system are th...

The problems of delay-dependent robust stability and stabilization of a class of uncertain, linear discrete-time singular systems with state-delay are examined. The parametric uncertainties are assumed to be time-invariant and normbounded appearing in the state and delay matrices. A new system representation is developed to derive new delay-dependent stability criteria without relying on overbo...

This paper presents the design and implementation of a singularity-free tracking algorithm for robot manipulators using a hybrid system approach. A hybrid robot motion controller is designed to ensure feasible robot motion in the neighborhood of kinematic singularities. The hybrid control system has a two-layered hierarchical structure, a discrete layer and a continuous layer. The robot workspa...