We revisit the classical H∞ analysis problem of computing the `-induced norm of a linear time-invariant system. We follow an approach based on converting the problem of maximization over signals to that of maximization over a sort of deterministic covariance matrices. The reformulation in terms of these covariance matrices greatly simplifies the dynamic analysis problem and converts the computa...

In this paper, we consider the problem of robust H-infinity Control for a class of uncertain nonlinear systems. We derive LMI conditions for analyzing regional robust stability and performance based on Lyapunov functions which are polynomial functions of the state and uncertain parameters. More specifically, we provide an energy bound on the input disturbance which guarantees that the state of ...

Practical application of H∞ robust control relies on system identification of a valid model-set, described by a norm-bounded differential inclusion, which explains all possible behavior for the control plant. This is usually approximated by measuring the plant repeatedly and finding a model that explains all observed behavior. Typical modern approaches must anticipate the uncertainty-shaping as...

This paper describes a multivariable controller design procedure that uses mixed-sensitivity H-infinity control theory. The design procedure is based on the assumption that structural noise can be modeled as entering a state-space system through a random input matrix. The design process starts with a full-order flexible state-space model that undergoes a frequency-weighted balanced truncation t...

of the Thesis Practical control design using constrained Hinfinity by Sergio Lopez Lopez Master of Science in Mechanical and Aerospace Engineering University of California, Irvine, 2007 Professor Athanasios Sideris, Chair A framework for the implementation and design of practical controllers is presented. The methodology used is divided and presented in two stages, identification and design. Th...

We consider the linear matrix inequality (LMI) problem of H∞ output feedback control for a generalized plant whose input, measured output, disturbance and controlled are scalar. provide an explicit form optimal value. This is unification some results in literature performance limitation analysis. To obtain value, we focus on non-uniqueness perpendicular matrices, which appear LMI problem. use n...