In this paper we introduce the concept of optimized robust control invariance for a discrete-time, linear, time-invariant system subject to additive state disturbances. A novel characterization of a family of the robust control invariant sets is given. The existence of a constraint admissible member of this family can be checked by solving a single linear programming problem. The solution of th...

This paper concerns with a new class of adaptive gain-scheduled H∞ control of linear parametervarying (LPV) systems with time-delayed elements. The plants in this manuscript are assumed to be polytopic LPV systems which have time-delayed components, but the scheduled parameters and time-delayed elements in those plants are not known a priori, and thus, the conventional gain-scheduled control st...

The main feature of a Takagi-Sugeno (T-S) fuzzy model is to express the local dynamics of each fuzzy implication (rule) by a linear system model. The overall fuzzy model of the system is achieved by fuzzy “blending” of the linear system models. Parallel or feedback connections of T-S fuzzy systems which preserve the properties of each system are possible [1]. Thus a simple and straightforward a...

The paper addresses the problem of the robust output feedback PI controller design for complex large-scale stable systems with a state decentralized control structure. A decentralized control design procedure is proposed for static output feedback control which is based on solving robust control design problems of subsystems’ size. The presented approach is based on the Generalized Gershgorin T...

We discuss a number of novel issues in the interdisciplinary area of numerical linear algebra and control theory. Although we do not claim to be exhaustive we give a number of problems which we believe will play an important role in the near future. These are : sparse matrices, structured matrices, novel matrix decompositions and numerical shortcuts. Each of those is presented in relation to a ...

Linear systems are one of the most commonly used models to represent physical systems. Yet, only few automated tools have been developed to check their behaviors over time. In this paper, we propose a linear temporal logic for specifying complex properties of discrete time linear systems. The proposed logic can also be used in a control system to generate control input in the process of model c...

In many industries, customers are offered free shipping whenever an order placed exceeds a minimum quantity specified by suppliers. This allows the suppliers to achieve economies of scale in terms of production and distribution by encouraging customers to place large orders. In this paper, we consider the optimal policy of a retailer who operates a single-product inventory system under periodic...