Abstract: The robust control problem for linear systems with parameter uncertainties and time-varying delays is examined. By using an appropriate uncertainty description, a linear state feedback control law is found ensuring the closed-loop system’s stability and a performance measure, in terms of the guaranteed cost. An LMI objective minimization approach allows to determine the ”optimal” choi...

This paper considers the guaranteed cost control problem for a class of uncertain discrete T-S fuzzy systems with time delay and a given quadratic cost function. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequalities (LMI) approach by constructing a specific nonquadratic Lyapunov-Krasovskii functional and a nonlinear PDC-like control law....

Abstract This paper is concerned with observer-based guaranteed cost control design of fuzzy bilinear systems with time-varying delay. First, we consider the state feedback control design by assuming a special form of a fuzzy controller. A delay-dependent condition, which is less conservative than delay-independent one, for guaranteed cost control design of fuzzy bilinear systems with time-vary...

The application of neural networks to the state-feedback guaranteed cost control problem of discrete-time system that has uncertainty in both state and input matrices is investigated. Based on the Linear Matrix Inequality (LMI) design, a class of a state feedback controller is newly established, and sufficient conditions for the existence of guaranteed cost controller are derived. The novel con...

Based on T-S fuzzy model, the robust guaranteed cost control problem is studied for a class of uncertain singular systems with state and input delays. Sufficient conditions are provided for the construction of a state feedback guaranteed cost controller. These conditions are given in terms of the feasibility of linear matrix inequalities (LMIs) and guarantee that the closed-loop systems are qua...

this paper deals with leader-following and leaderless consensus problems of high-order multi-input/multi-output (mimo) multi-agent systems with unknown nonlinear dynamics in the presence of uncertain external disturbances. the agents may have different dynamics and communicate together under a directed graph. a distributed adaptive method is designed for both cases. the structures of the contro...

This paper presents a methodology for analyzing the H2 guaranteed cost performance of a discrete-time LTI system with unstructured dynamic uncertainty. Using the methods of guaranteed cost control, an upper bound on H2 guaranteed cost performance over unstructured parametric uncertainty is formulated in terms of feasibility of a linear matrix inequality. It is then shown that the feasibility of...

In this work, new theoretical results on functional type a posteriori estimates for elliptic optimal control problems with control constraints are presented. More precisely, we derive new, sharp, guaranteed and fully computable lower bounds for the cost functional in addition to the already existing upper bounds. Using both, the lower and the upper bounds, we arrive at two-sided estimates for t...