Quadratic stability has enabled, mainly via the linear matrix inequality framework, the analysis and design of a nonlinear control system from the local matrices of the system’s Takagi–Sugeno (T–S) fuzzy model. It is well known, however, that there exist stable differential inclusions, hence T–S fuzzy models whose stability is unprovable by a globally quadratic Lyapunov function. At present, li...

This paper introduces a class of linear codes which are non-uniform error correcting, i.e. they have the capability of correcting different errors in different codewords. A technique for specifying error characteristics in terms of algebraic inequalities, rather than the traditional spheres of radius e, is used. A construction is given for deriving these codes from known linear block codes. Thi...

In this paper, new weighted integral inequalities (WIIs) are first derived by refining the Jensen single and double inequalities. It is shown that the newly derived inequalities in this paper encompass both the Jensen inequality and its most recent improvements based on Wirtinger integral inequality. The potential capability of the proposed WIIs is demonstrated through applications in exponenti...

This paper proposes an anti-windup strategy to deal with stability and performance requirements for a class of hybrid systems, such as those including a reset controller and subject to input saturation. The computation of the anti-windup compensator aiming at ensuring both L2 input-to-state stability and internal stability of the closed-loop system is carried out from the solution of matrix ine...

This paper concerns the robust ‘practical’ stabilization for a class of linear controlled stochastic differential equations subject to both multiplicative and additive stochastic noises. Sufficient conditions of the stabilization are provided in two senses. In the first sense, it is proven that almost all trajectories of the stochastic model converge in a ‘mean-square sense’ to a bounded zone l...

In this paper control of high index and non-regular linear differential-algebraicequation systems is addressed. Based on a generalization of the bounded real lemma (BRL) to index one systems, all linear output feedback controllers in standard, i.e. non-descriptor, state space form solving the control problem can be characterized via biaffine matrix inequalities (BMIs). In a second step a congru...

Article history: Received: 19.06.2014. Received in revised form: 06.11.2014. Accepted: 11.11.2014. This paper addresses the robust model predictive control (MPC) for a class of time delay descriptor systems with linear fractional uncertainty and input constrains. The systems are transferred to the piecewise continuous descriptor systems and a piecewise constant control sequence is calculated by...

in this paper we present a method for solving fuzzy linear systemsby two crisp linear systems. also necessary and sufficient conditions for existenceof solution are given. some numerical examples illustrate the efficiencyof the method.

This article deals with the robustH2 control problem for a class of Markovian jump linear systems with uncertain switching probabilities. The uncertainties under consideration appear both in the system parameters and in the mode transition rates. First, a new criterion based on linear matrix inequalities is established for checking the robust H2 performance of the uncertain system. Then, a suff...

In this paper, finite impulse response (FIR) control is addressed for H∞ output feedback stabilization of linear systems. The problem we deal with is the construction of an output feedback controller with a certain finite impulse response structure such that the resulting closed-loop system is asymptotically stable and a prescribed H∞ norm bound constraint is guaranteed. Some solvability condit...