In this paper, we formulate robust stability and performance bounds in terms of guaranteed cost inequalities. We derive new guaranteed cost bounds for plants with real structured uncertainty, and we reformulate them as linear matrix inequalities (LMIs). In particular, we obtain a shifted linear bound and a shifted inverse bound, and give LMI forms for a shifted bounded real bound, a shifted Pop...

The paper investigates delay-dependent control and stability analysis for T−S fuzzy systems with a sensor delay. Based on a Lyapunov-Krasovskii function (LKF), a less conservative delay-dependent stability condition in the form of parameterized linear matrix inequalities (PLMIs) is established. In the derivation process, Jensen inequality is introduced to estimate the upper bound of the derivat...

In this paper, we present an off-line approach for robust constrained MPC synthesis that gives an explicit control law using Linear Matrix Inequalities (LMIs). This off-line approach can address a broad class of model uncertainty descriptions with guaranteed robust stability of the closed-loop system and substantial reduction of the on-line MPC computation.

This paper proposes a new consensus criterion for nonlinear complex systems with edge betweenness centrality measure. By construction of a suitable Lyapunov-Krasovskii functional, the consensus criterion for such systems is established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustra...

The robust stability of uncertain Hopfield neural networks with Markov switching is analyzed, the parametric uncertainty is assumed to be norm bounded. Sufficient conditions for the exponential stability are established by constructing suitable Lyapunov functionals. The stability criteria represented in terms of linear matrix inequalities (LMIs), and are computationally efficient.

In this paper, the robust H∞ control problem is considered for uncertain neutral systems with discrete and distributed time delays. By using new Lyapunov-Krasovskii functionals, some sufficient conditions on H∞ robust performance analysis are given in terms of linear matrix inequalities (LMIs). Based on these conditions the dynamical output feedback controller are designed. Numerical examples a...

In this paper, we consider the distributed robust filtering problem, where estimator design is based on a set of coupled linear matrix inequalities (LMIs). We separate the problem and show that the method of multipliers can be applied to obtain a solution efficiently and in a decentralized fashion, i.e. all local estimators can compute their filter gains locally, with communications restricted ...

This paper addresses the design of robust H2 filters for linear continuoustime systems subject to parameter uncertainty in the state-space model. The uncertain parameters are supposed to belong to a given convex bounded polyhedral domain. Two methods based on parameter-dependent Lyapunov functions are proposed for designing linear stationary asymptotically stable filters that assure asymptotic ...

Abstract—In this paper, reliable consensus of multi-agent systems with sampled-data is investigated. By using a suitable Lyapunov-Krasovskii functional and some techniques such as Wirtinger Inequality, Schur Complement and Kronecker Product, the results of such system are obtained by solving a set of Linear Matrix Inequalities (LMIs). One numerical example is included to show the effectiveness ...

This paper presents a new piecewise-affine (PWA)H∞ controller synthesis method for uncertain PWA slab systems. The synthesis problem is formulated as a set of Linear Matrix Inequalities (LMIs), which can then be solved efficiently using available software. The proposed synthesis methodology is applied to a circuit example.