In this paper, we propose a new robust analysis tool motivated by large-scale systems. The H∞ norm of a system measures its robustness by quantifying the worst-case behavior of a system perturbed by a unit-energy disturbance. However, the disturbance that induces such worst-case behavior requires perfect coordination among all disturbance channels. Given that many systems of interest, such as t...

This paper considers robust reduced order H∞ observer-based control for stochastic systems. The approach is divided into two steps. First, we search for a linear control law to ensure H∞ specification. Then, the obtained linear combination of the state is used to solve an “unbiasedness” (decoupling) condition on the drift part of the closed-loop system. Finally, deterministic functional filteri...

This paper presents a control design approach for sheet control in a printer paper path. By splitting up the control problem in two levels, i.e. low level motor control loops and a high level sheet control loop, a hierarchical control structure is obtained. The high level sheet dynamics are formulated in the piecewise linear modeling formalism. Given this model, together with models of the cont...

The problem of stabilization of an autonomous rotorcraft platform in a hover configuration subject to external disturbances is addressed. Necessary and sufficient conditions are presented for static output-feedback control of linear timeinvariant systems using the H-Infinity approach. Simplified conditions are given which only require the solution of two coupled matrix design equations. This pa...

We consider the characterization and computation of H-infinity norms for a class of time-delay systems. It is well known that in the finite dimensional case the H-infinity norm of a transfer function can be computed using the connections between the corresponding singular value curves and the imaginary axis eigenvalues of a Hamil-tonian matrix, leading to the established level set methods. We s...

Abstract : Recently, the authors have proposed a novel approach to Direction−Of−Arrival (DOA) estimation using the $\Hf$ criterion. This article examines the limits of performance of $\Hf$−based direction finding and arrives at a lower bound on the estimation error, analogous to the Cramer−Rao Bound (CRB). Furthermore, the analysis of the $\Hf$−based algorithm's prediction error using one of Ak...

Abstract—The switched reluctance machine (SRM) has undeniable qualities in terms of low cost and mechanical robustness. However, its highly nonlinear character and its uncertain parameters justify the development of complicated controls. In this paper, authors present the design of a robust H-infinity current controller for an 8/6 SRM with taking into account the nonlinearity of the SRM and wit...

This paper deals with the problem of designing state or full-order output feedback H-infinity controllers satisfying an α-stability constraint. A descriptor system approach is adopted to derive linear matrix inequality (LMI) conditions of α-stability and H-infinity performance for linear time-invariant (LTI) systems, under which the multiobjective control laws can be constructed with a mix of H...

In this paper LQG controller for TRMS without and with sensor, actuator failure is designed. Implementation of LQG controller for TRMS is done under no failure of sensor, actuator. TRMS output with LQG controller and reliable H infinity controller are compared without and with sensor, actuator failure. The objective of the proposed technique is to prove the H infinity controller is reliable ove...

FIR (finite impulse response) digital filter design is a fundamental problem in signal processing. In particular, FIR approximation of analog filters (or systems) is ubiquitous not only in signal processing but also in digital implementation of controllers. In this article, we propose a new design method of an FIR digital filter that optimally approximates a given analog filter in the sense of ...