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

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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 State Space Polytopic Systems by Convex Optimization

Graph Chatbot

Chattez avec 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

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

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

RST Controller Design by Convex Optimization Using Frequency-Domain Data

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

On 1-norm stochastic optimal control with bounded control inputs

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

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