In this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. This controller is derived based on the closed form solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with the cheap control problem. This methodology employs an algebraic equation with parametric coefficients for the systems with s...

A closed plane meander of order n is a closed self-avoiding loop intersecting an infinite line 2n times. Meanders are considered distinct up to any smooth deformation leaving the line fixed. We have developed an improved algorithm, based on transfer matrix methods, for the enumeration of plane meanders. This allows us to calculate the number of closed meanders up to n = 24. The algorithm is eas...

An observer-based design method of fault-tolerant controller for uncertain linear systems subject to actuator faults, saturation and bounded disturbances is provided in this paper. A state feedback controller is designed to maximize the attraction domain with the state variables estimated by a Luenberger observer. The closed-loop system is modeled as a linear system with decentralized dead-zone...

This paper addresses the problem of robust pseudo state feedback stabilization of commensurate fractional order polytopic systems (FOS). In the proposed approach, Linear Matrix Inequalities (LMI) formalism is used to check if the pseudo state matrix eigenvalues belong to the FOS whatever the value of the uncertain parameters. The paper focuses particularly on the case 0 < < 1 as the stability r...

In this paper we consider a linear system that in addition to a control input and a measurement output has k exogenous inputs and k exogenous outputs. We assume that the system is controlled by means of a linear measurement feedback compensator. The resulting closed loop system has k exogenous input and k exoge-nous outputs and we assume that its transfer matrix is partitioned accordingly as a ...

A b g r a a A simultaneous H2/H® control problem is considered. This problem seeks to minimize the H 2 norm of a closed-loop transfer matrix while simultaneously satisfying a prescribed H~ norm bound on some other closed-loop transfer matrix by utilizing dynamic state feedback controllers. Such a problem was formulated earlier by Rotea and Khargonekar (Automatica, 27, 307-316, 1991) who conside...

time-delay identification is one of the most important parameters in designing controllers. in the cases where the number of inputs and outputs in a system are more than one, this identification is of great concern. in this paper, a novel autocorrelation-based scheme for the state variable time-delay identification for multi-input multi-output (mimo) system has been presented. this method is ba...

in this paper, a state feedback h¥ controller is proposed in order to design an active queue management (aqm) system based on congestion control algorithm for networks supporting tcp protocols. in this approach, the available link bandwidth is modeled as a time-variant disturbance. the purpose of this paper is to design a controller which is capable of achieving the queue size and can guarantee...

We derive the loop equations for the one Hermitian matrix model in any dimension. These are a consequence of the Schwinger-Dyson equations of the model. Moreover we show that in leading order of large N the loop equations form a closed set. CERN–TH-6966/93 August 1993 ∗Permanent address: Fac. de F́ısica, Universidad Católica de Chile, Casilla 306, Santiago 22, Chile.

A new Eigenstructure Assignment (ESA) method for vibration confinement of flexible structures has been developed. This method is based on finding an output feedback control gain matrix in such a way that the closed-loop eigenvectors are orthogonal to the open-loop ones. Singular Value Decomposition (SVD) is used for finding the matrix that spans the null space of the closed-loop eigenvectors. I...