Publications related to Fixed-order Controller Design for State Space Polytopic Systems by Convex Optimization

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

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

An Efficient Method to Estimate the Suboptimality of Affine Controllers

Daniel Kuhn

We consider robust feedback control of time-varying, linear discrete-time systems operating over a finite horizon. For such systems, we consider the problem of designing robust causal controllers that minimize the expected value of a convex quadratic cost ...

Institute of Electrical and Electronics Engineers2011

An Efficient Method to Estimate the Suboptimality of Affine Controllers

Daniel Kuhn

We consider robust feedback control of time-varying, linear discrete-time systems operating over a finite horizon. For such systems, we consider the problem of designing robust causal controllers that minimize the expected value of a convex quadratic cost ...

Institute of Electrical and Electronics Engineers2011

Input-to-state stabilization of feasible model predictive controllers for linear systems

Colin Neil Jones, Melanie Nicole Zeilinger

Research on sub-optimal Model Predictive Control (MPC) has led to a variety of optimization methods based on explicit or online approaches, or combinations thereof. Its foremost aim is to guarantee essential controller properties, i.e. recursive feasibilit ...

2011

On 1-norm stochastic optimal control with bounded control inputs

Milan Korda

This paper deals with the finite horizon stochastic optimal control problem with the expectation of the 1-norm as the objective function and jointly Gaussian, although not necessarily independent, disturbances. We develop an approximation strategy that sol ...

2011

RST Controller Design by Convex Optimization Using Frequency-Domain Data

Alireza Karimi, Roland Longchamp, Gorka Galdos Sanz de Galdeano

A new robust fixed-order RST controller design approach by convex optimization is proposed in this paper. Only frequency-domain data are considered in the approach for linear time-invariant single-input single-output systems. It is shown that performance s ...

2011

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 Controller Design by Convex Optimization based on Finite Frequency Samples of Spectral Models

Alireza Karimi, Roland Longchamp, Gorka Galdos Sanz de Galdeano

Some frequency-domain controller design problems are solved using a finite number of frequency samples. Consequently, the performance and stability conditions are not guaranteed for the frequencies between the frequency samples. In this paper, all possible ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Bernard Dacorogna

Any finite, separately convex, positively homogeneous function on

\mathbb{R}^2

is convex. This was first established by the first author ["Direct methods in calculus of variations", Springer-Verlag (1989)]. Here we give a new and concise proof of this re ...

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

Fixed-order Controller Design for State Space Polytopic Systems by Convex Optimization

Graph Chatbot

Chat with Graph Search

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

An Efficient Method to Estimate the Suboptimality of Affine Controllers

An Efficient Method to Estimate the Suboptimality of Affine Controllers

Input-to-state stabilization of feasible model predictive controllers for linear systems

On 1-norm stochastic optimal control with bounded control inputs

RST Controller Design by Convex Optimization Using Frequency-Domain Data

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

Robust Controller Design by Convex Optimization based on Finite Frequency Samples of Spectral Models

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

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

Robust Controller Design by Convex Optimization based on Finite Frequency Samples of Spectral Models

An Efficient Method to Estimate the Suboptimality of Affine Controllers

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

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

Input-to-state stabilization of feasible model predictive controllers for linear systems

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

An Efficient Method to Estimate the Suboptimality of Affine Controllers

On 1-norm stochastic optimal control with bounded control inputs

RST Controller Design by Convex Optimization Using Frequency-Domain Data

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