The H∞ control problem was posed by G. Zames in 1981 [1], and solved by P. Apkarian and D. Noll in 2006 [2]. In this treatise we present the rational of H∞ control, give a short history, and recall the milestones reached before our 2006 solution. We also discuss the recent Matlab function hinfstruct, based on work by Apkarian, Noll and Gahinet (TheMathworks) and available in the Robust Control ...

The objective of the paper is to design the robust discrete H∞ controller for dc motor position control using Frequency-Domain Robust Controller Design Toolbox. In this paper, the time performance characteristics of 2 and 3 order controller has been compared by taking dc motor as a design example. The paper aims at demonstrating and simple modelling and robust discrete control synthesis strateg...

We study decision making in environments where the reward is only partially observed, but can be modeled as a function of an action and an observed context. This setting, known as contextual bandits, encompasses a wide variety of applications including health-care policy and Internet advertising. A central task is evaluation of a new policy given historic data consisting of contexts, actions an...

Abstract--This paper proposes an optlmlzatmn-based approach to the robust 7-to~ control problem of uncertain contmuous or dmcrete-tlme linear tzme-mvariant systems with different tzme-varying delays m the state vector and control input of the dynamic equation and controlled output Sufficient delay-dependent conditions are derived for the control stabflmatmn problem, where both the sine of the t...

 Ambiguity in the inputs of the models is typical especially in portfolio selection problem where the true distribution of random variables is usually unknown. Here we use robust optimization approach to address the ambiguity in conditional-value-at-risk minimization model. We obtain explicit models of the robust conditional-value-at-risk minimization for polyhedral and correlated polyhedral am...

1 Introduction The robust control problem for uncertain nonlinear systems has received a great deal of attention in the last few years 1{7]. In most cases the problem addressed is robust stabilization or robust tracking, and knowledge of bounds on the uncertainties is assumed. Since such bounds are usually conservative, the gains employed in the resulting robust controllers are likely to be unn...