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Robust Control Tools:Graphical User-Interfaces and LMI Algorithms
Robust Control Tools Graphical User-Interfaces LMI Algorithms
2015/7/13
Gives some vague ideas about useful control design tools that might be based on LMI algorithms.
Existence and Uniqueness of Optimal Matrix Scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/7/13
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
A Primal-Dual Potential Reduction Method for Problems Involving Matrix Inequalities
Interior point algorithms Linear matrix inequaliües Semidefinite programming
2015/7/13
We describe a potential reduction method for convex optimization problems involving matrix inequalities. The method is based on the theory developed by Nesterov and Nemirovsky and generalizes Gonzaga ...
Review of Mathematical Control Theory:Deterministic Finite-Dimensional Systems
Mathematical Control Theory Deterministic Finite-Dimensional Systems
2015/7/13
Review of Mathematical Control Theory: Deterministic Finite-Dimensional Systems, by E. Sontag. Published by Springer, New York, 1990, as number 6 of series Textbooks in Applied Mathematics.
Optimal Excitation Signal Design for Frequency Domain System Identification Using Semidefinite Programming
Optimal Excitation Signal Design Frequency Domain System Identification Semidefinite Programming
2015/7/13
The paper discusses two methods of optimal excitation signal design for identification with Maximum Likelihood parameter estimation: The ‘classical’, dispersion function based method, and a new, semid...
Semidefinite Programming
semidefinite programming convex optimization interior-point methods eigenvalue optimization
2015/7/13
In semidefinite programming we minimize a linear function subject to the constraint that an affine combination of symmetric matrices is positive semidefinite. Such a constraint is nonlinear and nonsmo...
Optimal Linear Static Control with Moment and Yield Objectives
Optimal Linear Static Control Moment Yield Objectives
2015/7/13
This report describes how to optimize linear static control problems involving first and second moments and yield objectives for Gaussian distributions. These problems can be cast as second-order cone...
Obstacle Collision Detection Using Best Ellipsoid Fit
ellipsoid fi t geometric approximation collision detection
2015/7/13
This paper describes a method for estimating the distance between a robot and its surrounding environment using best ellipsoid fit. The method consists of the following two stages. First we approximat...
A Global BMI Algorithm Based on the Generalized Benders Decomposition
Linear matrix inequalities Robust control Numerical Methods
2015/7/13
We present a new algorithm for the global solution of optimization problems involving bilinear matrix inequalities (BMIs). The method is based on a technique known in large-scale and global optimizati...
Semidefinite Programming Relaxations of Non-Convex Problems in Control and Combinatorial Optimization
Semidefinite Programming Relaxations Non-Convex Problems Control Combinatorial Optimization
2015/7/13
We point out some connections between applications of semidefinite programming in control and in combinatorial optimization. In both fields semidefinite programs arise as convex relaxations of NP-hard...
Antenna Array Pattern Synthesis via Convex Optimization
Antenna Array Pattern Synthesis Convex Optimization
2015/7/13
We show that a variety of antenna array pattern synthesis problems can be expressed as convex optimization problems, which can be (numerically) solved with great efficiency by recently developed inter...
An Implementation of Discrete Multi-tone Over Slowly Time-Varying Multiple-Input/Multiple-Output Channels
Discrete Multi-tone Slowly Time-Varying Multiple-Input/Multiple-Output Channels
2015/7/13
Recent analysis of Multiple-Input Multiple-Output (MIMO) communication systems, for example those involving antenna arrays, has shown that channel capacity increases linearly with the number of antenn...
Quadratic Stabilization and Control of Piecewise-Linear Systems
Piecewise-linear systems quadratic stabilization linear matrix inequality (LMI)
2015/7/13
We consider analysis and controller synthesis of piecewise-linear systems. The method is based on constructing quadratic and piecewise-quadratic Lyapunov functions that prove stability and performance...
Multi-objective H2/H-infinity-Optimal Control via Finite Dimensional Q-Parametrization and Linear Matrix Inequalities
Finite Dimensional Q-Parametrization Linear Matrix Inequalities
2015/7/13
The problem of multi-objective H2/H-infinity optimal controller design is reviewed. There is as yet no exact solution to this problem. We present a method based on that proposed by Scherer. The proble...
FIR Filter Design via Spectral Factorization and Convex Optimization
FIR Filter Design Spectral Factorization Convex Optimization
2015/7/13
We consider the design of finite impulse response (FIR) filters subject to upper and lower bounds on the frequency response magnitude. The associated optimization problems, with the filter coefficient...