this paper presents a new observer design methodology for a time varying actuator fault estimation. a new linear matrix inequality (lmi) design algorithm is developed to tackle the limitations (e.g. equality constraint and robustness problems) of the well known so called fast adaptive fault estimation observer (fafe). the fafe is capable of estimating a wide range of time-varying actuator fault...

Centralized nonlinear fusion filter design problem is to construct an asymptotically stable observer that leads to a stable estimation error process whose L2 gain with respect to disturbance signal is less than a prescribed level for state estimation of the multi-sensor fusion system. This paper tries to resolve the problem in using of H∞ filtering theory and LMI methods under certain condition...

Abstract. An elimination problem in semidefinite programming is solved by means of tensor algebra. It concerns families of matrix cube problems whose constraints are the minimum and maximum eigenvalue function on an affine space of symmetric matrices. An LMI representation is given for the convex set of all feasible instances, and its boundary is studied from the perspective of algebraic geomet...

The paper is dedicated to experimenting a simple LMI procedure to design simple adaptive control laws for ’almost stable’ systems. The procedure initially conceived for regulation problems around zero equilibrium point is extended to PID like tracking control problem. LMI results gives conditions to guarantee robustness of the simple adaptive control law with respect to parametric uncertainties...

This paper presents a convex optimization method for the feedback-loop tradeoff of L1 adaptive controller. Both problems of performance improvement and time-delay margin maximization are shown to be cast into Linear Matrix Inequality (LMI) type conditions. First, each of these conditions is studied separately towards a distinct objective, and next two similar LMI algorithms are proposed for opt...

Necessary and sufficient conditions are formulated for checking robust stability of an uncertain polynomial matrix. Various stability regions and uncertainty models are handled in a unified way. The conditions, stemming from a general optimization methodology similar to the one used in /i-analysis, are expressed as a rank-one LMI, a non-convex problem frequently arising in robust control. Conve...

Based on kinematic and kinetic analyses of the 3-Degree of Freedom differentially driven wheels mobile robot, we proposed a nonlinear mathematical model with uncertain disturbance. This model was transformed into linear control systems through an approximate linearization algorithm, which is based on balanced flow pattern. After that, we designed a partial feedback H∞ robust controller based on...

The stabilization of uncertain discrete-time linear systems with both saturating actuators and time-varying delays is addressed in this paper. Based on a novel Lyapunov function combined with LMI (Linear Matrix Inequality) techniques, sufficient conditions are developed to guarantee robust stabilization. A state feedback control law and the associated stability region are simultaneously determi...

This paper develops a novel robust stability criterion for a class of uncertain neutral-type neural networks with discrete interval and distributed time-varying delays. By constructing a general form of LyapunovKrasovskii functional, using the linear matrix inequality (LMI) approach and introducing some free-weight matrices, the delay-dependent robust stability criteria are derived in terms of ...

A new algorithm is proposed for solving large LMI feasibility problems, which exploits the structure of the LMI and avoids forming and manipulating large matrices. It is derived from the spectral bundle method of Helmberg and Rendl, but modified to properly handle inexact eigenvalues and eigenvectors obtained from Lanczos iterations. The complexity is estimated from numerical experiments and it...