Publications related to A convex set of robust D—stabilizing controllers using Cauchy's argument principle

Approximate dynamic programming via sum of squares programming

We describe an approximate dynamic programming method for stochastic control problems on infinite state and input spaces. The optimal value function is approximated by a linear combination of basis functions with coefficients as decision variables. By rela ...

2013

Fixed-order H-infinity and H-2 Controller Design for Continuous-time Polytopic Systems: An LMI-based Approach

Alireza Karimi

In this paper, a convex set of fixed-order H-infinity and H2 dynamic output-feedback controllers for continuous-time systems with polytopic uncertainty is proposed. This approach is based on the use of some instrumental stable matrices, which operate as a ...

2013

H-Infinity Gain-Scheduled Controller Design for Rejection of Time-Varying Disturbances with Application to an Active Suspension System

Alireza Karimi, Zlatko Emedi

A new method for H-infinity gain-scheduled controller design by convex optimization is proposed that uses only frequency-domain data. The method is based on loop shaping in the Nyquist diagram with constraints on the weighted infinity norm of closed-loop t ...

2013

H infinity Gain-scheduled Controller Design for Rejection of Time-varying Narrow-band Disturbances Applied to a Benchmark Problem

Alireza Karimi, Zlatko Emedi

A new method for H-infinity gain-scheduled controller design by convex optimization is proposed that uses only frequency-domain data. The method is based on loop shaping in the Nyquist diagram with constraints on the weighted infinity-norm of closed-loop t ...

Lavoisier2013

Fixed-order LPV Controller Design for Rejection of a Sinusoidal Disturbance with Time-varying Frequency

Alireza Karimi, Zlatko Emedi

A new method for the design of fixed-order Linear Parameter Varying (LPV) controllers with polytopic representation for LTI plants is proposed. The stability constraints for the closed-loop system are presented through a set of Linear Matrix Inequalities ( ...

2012

Fixed-order H-infinity controller design for systems with ellipsoidal parametric uncertainty

Alireza Karimi, Arash Sadeghzadeh

In this paper, fixed-order robust H-infinity controller design for systems with ellipsoidal parametric uncertainty based on parameter dependent Lyapunov functions is studied. Using the concept of Strictly Positive Realness (SPRness) of transfer functions, ...

Taylor & Francis2011

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

Alireza Karimi, Hamid Khatibi

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

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

Alireza Karimi, Roland Longchamp, Gorka Galdos Sanz de Galdeano

A new approach for robust fixed-order

H_\infty

controller design by convex optimization is proposed. Linear time-invariant single-input single-output systems represented by a finite set of complex values in the frequency domain are considered. It is show ...

IEEE2008

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

Alireza Karimi, Roland Longchamp, 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

Alireza Karimi, Roland Longchamp, 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

A convex set of robust D—stabilizing controllers using Cauchy's argument principle

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Approximate dynamic programming via sum of squares programming

Fixed-order H-infinity and H-2 Controller Design for Continuous-time Polytopic Systems: An LMI-based Approach

H-Infinity Gain-Scheduled Controller Design for Rejection of Time-Varying Disturbances with Application to an Active Suspension System

H infinity Gain-scheduled Controller Design for Rejection of Time-varying Narrow-band Disturbances Applied to a Benchmark Problem

Fixed-order LPV Controller Design for Rejection of a Sinusoidal Disturbance with Time-varying Frequency

Fixed-order H-infinity controller design for systems with ellipsoidal parametric uncertainty

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

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

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

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

Approximate dynamic programming via sum of squares programming

H-Infinity Gain-Scheduled Controller Design for Rejection of Time-Varying Disturbances with Application to an Active Suspension System

Fixed-order H-infinity and H-2 Controller Design for Continuous-time Polytopic Systems: An LMI-based Approach

H infinity Gain-scheduled Controller Design for Rejection of Time-varying Narrow-band Disturbances Applied to a Benchmark Problem

Fixed-order H-infinity controller design for systems with ellipsoidal parametric uncertainty

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

Robust fixed-order H infinity Controller Design for Spectral Models by Convex Optimization

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

Fixed-order LPV Controller Design for Rejection of a Sinusoidal Disturbance with Time-varying Frequency

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