This paper deals with the robust DR-admissibility of descriptor systems. The research for robustness bounds for descriptor systems is addressed. The use of parameter-dependent Lyapunov functions allows ones to handle uncertain singular systems whose uncertainty is polytopic norm-bounded (i.e. the state matrix can be written A+J∆L where A, J and L belong to a polytope of matrices and ∆ is unknow...

Abstract: This paper presents a novel technique for robust fault detection, based on a modified H2/H∞ performance condition, which is described as LMI. Some theoretical results are shown in order to synthesize the residual generation scheme, for systems subjected to parametric uncertainty. The uncertainty parameters are supposed to belong to a polytope. The extended H2/H∞ conditions are obtaine...

In this paper, we consider the robust stability analysis and synthesis problems for closed-loop vibrational control. In the analysis problem, we derive an upper bound on the allowable unstructured uncertainty which preserves the stability of a closed-loop vibrationally stabilized system. In the synthesis problem, we establish a necessary and sufficient condition for the existence of a single vi...

This paper presents a strategy for robust H2/H∞ dynamic outputfeedback control synthesis, with regional pole placement, applied to linear continuous-time time-invariant systems with polytope-bounded uncertainty. The proposed synthesis approach is based on a multiobjective optimization algorithm applied directly in the space of controller parameters. The H2 and H∞ norms, computed in all polytope...

In this paper, we develop a practical and flexible methodology for generating a random collection of discrete joint probability distributions, subject to a specified information set, which can be expressed as a set of linear constraints (e.g., marginal assessments, moments, or pairwise correlations). Our approach begins with the construction of a polytope using this set of linear constraints. T...

In this paper the problem of stabilizing uncertain linear discrete-time systems under state and control linear constraints is studied. Many formulations of this problem have been given in the literature. Here we consider the case of finding a linear state feedback control law making a given polytope in the state space positively invariant while the control remains bounded within prefixed values...

This paper studies the vehicle routing problem with time windows where travel times are uncertain and belong to a predetermined polytope. The objective of the problem is to find a set of routes that services all nodes of the graph and that are feasible for all values of the travel times in the uncertainty polytope. The problem is motivated by maritime transportation where delays are frequent an...

This paper presents a novel approach for the controller synthesis in discrete-time linear systems (DTLS) with uncertainty polytopical type, by means of the extended static feedback of the measured output. The method consists of designing feedback gains for the injection of the output and its derivative, which corresponds to the control signal. Conditions for the existence of such controllers ar...