Fixed-structure ℋ2 controller design for polytopic systems via LMIs
نویسندگان
چکیده
منابع مشابه
Fixed-Structure H2 Controller Design for Polytopic Systems Via LMIs
In this paper a new approach for fixed-structure H2 controller design in terms of solutions to a set of linear matrix inequalities are given. Both discreteand continuous-time single-input single-output (SISO) timeinvariant systems are considered. Then the results are extended to systems with polytopic uncertainty. The presented methods are based on an inner convex approximation of the non-conve...
متن کاملRobust H2 performance analysis and synthesis of linear polytopic discrete-time periodic systems via LMIs
A particular class of uncertain linear discrete-time periodic systems is considered. The problem of robust stabilization of real polytopic linear discrete-time periodic systems via a periodic state-feedback control law is tackled here, along with H2 performance optimization. Using additional slack variables and the periodic Lyapunov lemma, an extended sufficient condition of robust H2 stabiliza...
متن کاملRobust Controller Design for Polytopic Systems via Robust Elimination Lemma
appear in the study of robust stability conditions for linear systems with polytopic uncertainties [2], [7]. The matrices Gi, Ui, Vi and X all may depend on the control system parameters to be designed. In some cases the matrix X prevents an immediate application of control design procedures and should be eliminated from inequality (1), thus eliminating some parameters and simplifying the desig...
متن کاملFixed-Order Controller Design for Systems with Polytopic Uncertainty via Convex Optimization
Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as an LMI using KYP Lemma. This parameterization is a convex innerapproximation of the whole non-convex set of stabilizing controllers and depends on the choice of a central polynomial. It is shown that with an appropriate choice of the central polynomial, the set of all s...
متن کاملReduced LMIs for fixed-order polynomial controller design
A reduction procedure based on semidefinite programming duality is applied to LMI conditions for fixed-order scalar linear controller design in the polynomial framework. It is namely shown that the number of variables in the reduced design LMI is equal to the difference between the open-loop plant order and the desired controller order. A standard linear system of equations must then be solved ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Optimal Control Applications and Methods
سال: 2014
ISSN: 0143-2087
DOI: 10.1002/oca.2132