Simple state-space formulas are derived for all controllers solving the following standard H/sub infinity / problem: For a given number gamma >0, find such that norm of closed-loop transfer function is (strictly) less than . It known controller exists if and only unique stabilizing solutions to two algebraic Riccati equations positive definite spectral radius their product /sup 2/. Under these conditions, parameterization problem as linear fractional transformation (LFT) on contractive,...

The problem of robustly stabilizing a linear uncertain system is considered with emphasis on the interplay between time-domain results quadratic stabilization systems and frequency-domain H/sup infinity / optimization. A complete solution to certain in which uncertainty enters both state input matrices given. Relations these robust problems control theory are explored. It also shown that number cases, if can be solved via Lyapunov methods, then it theory-based methods.< <ETX...

Simple state-space formulas are presnted for a con- boler solving andard 74.-prObkem.The controllr has the same sateimension as plant, its computation involves wl two Ricati eq and it ha separation structure remiuscent of classical LQG (i.e., X2) theory.This paper is also intended to be tutoal value, so standard 74-solUtion developed in parallel.

The problem of finding an internally stabilizing controller that minimizes a mixed H/sub 2//H/sub infinity / performance measure subject to inequality constraint on the norm another closed-loop transfer function is considered. This can be interpreted and motivated as optimal nominal robust stability constraint. Both state-feedback output-feedback problems are It shown in case one come arbitrarily close (even over full information controllers) using constant gain state feedback. Moreover,...

Consideration is given to the problems of filtering and smoothing for linear systems in an H/sup infinity / setting, i.e. plant measurement noises have bounded energies (are L/sub 2/), but are otherwise arbitrary. Two distinct situations initial condition system considered: one case assumed known; other it not known, condition, plant, noise some weighted ball R/sup n/*L/sub 2/. Both finite-horizon infinite-horizon cases considered. The authors present necessary sufficient conditions...

This paper considers the use and design of linear periodic time-varying controllers for feedback control time-invariant discrete-time plants. We will show that a large class robustness problems, compensators are superior to ones. give explicit techniques which can be easily implemented. In context controllers, we also consider strong simultaneous stabilization problems. Finally, problem weighted sensitivity minimization plants, offer no advantage over

In this paper we offer a novel approach to control-oriented model validation problems. The problem is decide whether postulated nominal with bounded uncertainty consistent measured input-output data. Our directly uses time-domain data validate models. algorithms develop are computationally tractable and reduce (generally nondifferentiable) convex feasibility problems or linear programming special cases, give analytical solutions these problems.< <ETX...

In this note, we consider the robust stability analysis problem in linear state-space models. We systems with structured uncertainty. Some lower bounds on allowable perturbations which maintain of a nominally stable system are derived. These shown to be less conservative than existing ones.

Wind energy is a rapidly growing source of renewable generation. However, the current extra-market approach to its assimilation into electric grid will not scale at deep penetration levels. In this paper, we investigate how an independent wind power producer might optimally offer variable competitive electricity market for energy. Starting with stochastic model production and perfectly two-settlement market, derive explicit formulae optimal contract offerings corresponding expected profit....

Real power injections at loads and generators, real flows on selected lines in a transmission network are monitored transmitted over SCADA to the system operator. These used state estimation algorithms make dispatch, re-balance other energy management [EMS] decisions. Coordinated cyber attacks meter readings can be designed undetectable by any bad data detection algorithm. unobservable present serious threat grid operations. Of particular interest sparse that involve compromise of modest...

Sharing economy is a transformative socio-economic phenomenon built around the idea of sharing underused resources and services, e.g., transportation housing, thereby reducing costs extracting value. Anticipating continued reduction in cost electricity storage, we look into potential opportunity electrical power system where consumers share storage with each other. We consider two different scenarios. In first scenario, are assumed to already have individual devices they explore cooperation...

This paper considers, from a complex function theoretic point of view, certain kinds robust synthesis problems. In particular, we use kind metric on the disk (the "hyperbolic" metric) which allows us to reduce problem stabilization systems with many types real and parameter variations an easily solvable in non-Euclidian geometry. It is shown that several apparently different problems can be treated unified general framework. A new result gain margin for multivariable plants also given....

We study the problem of synthesizing an internally stabilizing linear time-invariant controller for a plant such that given closed-loop transfer function is extended strictly positive real. Necessary and sufficient conditions existence are obtained. State-space formulas design in terms solutions to algebraic Riccati equations (or inequalities). The order constructed does not exceed plant.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

A H/sub infinity /-optimal control problem in which the measured outputs are states of plant is considered. The main result shows that infimum norm closed-loop transfer function using linear static state-feedback equals over all stabilizing dynamic (even, nonlinear time-varying) controllers.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

H/sub infinity / control and filtering problems for sampled-data systems are studied. Necessary sufficient conditions obtained the existence of controllers filters that satisfy a specified performance bound. When these hold, explicit formulas controller filter satisfying bound also given.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

A representation formula for all controllers that satisfy an $\mathcal{L}^\infty $-type constraint is derived time-varying systems. It now known a based on two indefinite algebraic Riccati equations may be found time-invariant systems over infinite time support (see [J. C. Doyle et al., IEEE Trans. Automat. Control, AC-34 (1989), pp. 831–847]; [K. Glover and J. Doyle, Systems Control Lett., 11 (1988), 167–172]; SIAM Optim., 29 (1991), 283–324]; [M. Green 28 (1990), 1350–1371]; [D. N....

In this paper the standard problem of $H^\infty $ control theory for finite-dimensional linear time-varying continuous-time plants is considered. The is: given a real number $\gamma > 0$, find (if one exists) an internally stabilizing controller such that closed-loop operator norm less than $. Under rather weak assumptions on plant model, it shown solution to exists if and only pair matrix Riccati differential equations admits positive semidefinite solutions. State-space formulae are also given.

In $H_\infty $ (or uniformly optimal) control problems, it is usually assumed that the system initial conditions are zero. this paper, an $-like problem incorporates uncertainty in formulated. This done by defining a worst-case performance measure. Both finite and infinite horizon problems considered. Necessary sufficient derived for existence of controllers yield closed-loop which above-mentioned measure less than prespecified value. State-space formulae also presented.