Fixed-Order Controller Design for Polytopic Systems Using 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 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 کاملFixed-Order Controller Design for Polytopic Systems Using Rank Deficiency in a Sylvester Matrix
Fixed-order controller design for LTI-SISO polytopic systems is investigated using rank deficiency constraint on the controller Sylvester resultant matrix. It is shown that the non-convexity of fixed-order controller design problem can be contracted in a rank deficiency constraint on Sylvester resultant matrix of the controller. Then, an improved convex approximation of the rank deficiency cons...
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 کاملFixed-order Controller Design for State Space Polytopic Systems by Convex Optimization
In this paper, a new method for fixed-order controller design of systems with polytopic uncertainty in their state space representation is proposed. The approach uses the strictly positive realness (SPRness) of some transfer functions, as a tool to decouple the controller parameters and the Lyapunov matrices and represent the stability conditions and the performance criteria by a set of linear ...
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: IEEE Transactions on Automatic Control
سال: 2008
ISSN: 0018-9286,1558-2523,2334-3303
DOI: 10.1109/tac.2007.914301