6 . 245 : MULTIVARIABLE CONTROL SYSTEMS by A . Megretski Problem Set
نویسنده
چکیده
منابع مشابه
Science 6 . 245 : MULTIVARIABLE CONTROL SYSTEMS
So far, the optimization methods under consideration were presented for the continuous time case. This lecture describes a technique which allows one to apply the continuous time algorithms of H2 optimization, H-Infinity optimization, and Hankel optimal model reduction to discrete time systems. The technique is based on applying the familiar “Tustin” (or “bilinear”) CT to DT transformation. Whi...
متن کامل6 . 245 : MULTIVARIABLE CONTROL SYSTEMS by A . Megretski Hankel Optimal Model Order Reduction
9.1.1 The Optimization Setup Let G = G(s) be a matrix-valued function bounded on the jθ-axis. The task of Hankel ˆ optimal model reduction of G calls for finding a stable LTI system G of order less than a given positive integer m, such that the Hankel norm ∞�∞H of the difference � = G − Ĝ is minimal. Remember that Hankel norm of an LTI system with transfer matrix � = �(s), input w, and output v...
متن کامل6 . 245 : Multivariable Control Systems
Let M be a complex matrix of rank one, i.e. M = pq′ where p, q are complex nby-1 matrices and ′ denotes Hermitean conjugation. Let μC(M) and μR(M) denote the structured singular values μ(M,∆) of M defined with ∆ = ∆C and ∆ = ∆R respectively, where ∆C is the cone of all diagonal matrices with complex entries, and ∆R is the cone of all diagonal matrices with real entries. (a) Express μC(M) and μR...
متن کامل6.245: Multivariable Control Systems Fundamentals of Model Order Reduction 8.1 Setting up a Model Order Reduction Problem
8.1 Setting Up A Model Order Reduction Problem This section describes a number of different ways of setting up a model reduction problem. In contrast with the case of LTI feedback optimization, when the most natural problem formulation has a satisfactory solution (H2 or H-Infinity optimization via Riccati equa tions), no efficient solution is known for the most natural formulation of the model...
متن کاملOptimal Control of Nonlinear Multivariable Systems
This paper concerns a study on the optimal control for nonlinear systems. An appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. In this fashion, the nonlinear system has been linearized using input-output feedback linearization (IOFL). Then, by utilizing the well developed optimal control theory of linear systems, the compensated ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011