2.3. H∞ Performance 3. Controller Design Using Linear Matrix Inequalities 3.1. Linearizing Change of Variables – State Feedback 3.2. Linearizing Change of Variables Output Feedback 3.3. LMI Approach to Multiobjective Design 3.4. Existence of Solutions and Conservatism of Design 4. Illustrative Design Example: Robust Control of a Power System Stabilizer 4.1. Problem Description 4.2. Design Speci...

This paper deals with a new heuristic algorithm for reduced-order control problems using linear matrix inequalities. The algorithm is implemented in MATLAB as an iterative procedure on each iteration of which the problem of minimizing a linear function under LMI constraints is solved. The convergence of this procedure is proved. Numerical results for an inverted pendulum are given. Copyright c ...

This paper presents an original practical criterion of global stability analysis of nonlinear polynomial systems. This criterion derived from the application of the Lyapunov direct method with a quadratic function generalizes the famous Lyapunov stability condition for linear systems. Useful mathematical transformations have allowed the formulation of the obtained conditions as an LMI (Linear M...

A bounded real lemma (BRL) is presented here for continuous-time, finite-horizon, time-varying linear neutral systems with parametric uncertainties entering all the matrices of the system representation. The lemma uses a solution of a set of matrix inequalities by employing a descriptor model transformation of the system. The conditions which guarantee disturbance attenuation are dependent on t...

This work presents an application of Linear Matrix Inequalities (LMI) for the robust control of an F-16 aircraft through an algorithm ensuring the damping factor to the closed loop system. The results show that the zero and gain settings are sufficient to ensure robust performance and stability with respect to various operating points. The technique used is the pole placement, which aims to put...

In this paper an approach for robust anti-windup compensation design for multivariable controllers based on the characterization of H2-H∞ norms as Linear Matrix Inequalities (LMI) is presented. The method consider a mix of H2-H∞ performance indexes on the transfer functions of the disturbances to the controlled output, and of the actuator output signal to the controller output signal. The contr...

In this paper, synchronization of identical switched chaotic systems is explored based on Lyapunov theory of guaranteed stability. Concepts from robust control principles and switched linear systems are merged together to derive a sufficient condition for synchronization of identical master-slave switched nonlinear chaotic systems and are expressed in the form of bilinear matrix inequalities (B...

In the paper, a general complex dynamical network with coupling lags is introduced. Then the problem of synchronization stability analysis for the complex dynamical network is further discussed. By use of linear matrix inequalities (LMI), a novel Lyapunov functional is constructed. And then we have obtained a new general stability criterion of synchronization state in the complex dynamical netw...

This is a tutorial on the mathematical theory and process control applications of linear matrix inequalities (LMIs) and bilinear matrix inequalities (BMIs). Many convex inequalities common in process control applications are shown to be LMIs. Proofs are included to familiarize the reader with the mathematics of LMIs and BMIs. LMIs and BMIs are applied to several important process control applic...

In this paper, the problem of asymptotical stability of neutral systems with nonlinear perturbations is investigated. Based on a class of novel augment Lyapunov functionals which contain freeweighting matrices, some new delay-dependent asymptotical stability criteria are formulated in terms of linear matrix inequalities (LMIs) by using new inequality analysis technique. Numerical examples are g...