Publications by Hamid Khatibi | EPFL Graph Search

Fixed-Order H-infinity Controller Design via Convex Optimization Using an Alternative to Youla Prameterization

All H-infinity controllers of a SISO LTI system are parameterized thanks to the relation between Bounded Real Lemma and Positive Real Lemma and a new concept of strict positive realness of two transfer functions with the same Lyapunov matrix in the matrix ...

Institute of Electrical and Electronics Engineers2010

An Alternative to the Youla Parameterization for H infinity Controller Design

Alireza Karimi, Hamid Khatibi

All H infinity controllers of a SISO LTI system are parameterized thanks to the relation between the Bounded Real Lemma and the Positive Real Lemma. This new parameterization shares the features of Youla parameterization, namely the convexity of H infinity ...

2009

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

Roland Longchamp, Alireza Karimi, Hamid Khatibi

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 inner-approximation of the whole non- convex set of stabilizing control ...

2008

Fixed-Order Controller Design for Polytopic Systems Using Rank Deficiency in a Sylvester Matrix

Roland Longchamp, Alireza Karimi, Hamid Khatibi

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 gathered in a ran ...

2008

Robust Control of Polytopic Systems by Convex Optimization

Roland Longchamp, Alireza Karimi, Hamid Khatibi

Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polytopic system is given over an infinite-dimensional space. A finite-dimensional app ...

2007

Robust Pole Placement of Systems with Polytopic Uncertainty Via Convex Optimization

Roland Longchamp, Alireza Karimi, Hamid Khatibi

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 inner-approximation of the whole non-convex set of stabilizing controll ...

2007

Robust Control of Polytopic Systems by Convex Optimization

Roland Longchamp, Alireza Karimi, Hamid Khatibi

Robust control synthesis of linear time-invariant SISO polytopic systems is investigated using the polynomial approach. A convex set of all stabilizing controllers for a polytopic system is given over an infinite-dimensional space. A finite-dimensional app ...

2007