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Computation of the Maximum H_infinity-norm of Parameter-Dependent Linear Systems by a Branch and Bound Algorithm
Computation Maximum H_infinity-norm Parameter-Dependent Linear Systems Bound Algorithm
2015/7/13
For linear systems that contain unspecified parameters that lie in given intervals, we present a branch and bound algorithm for computing the maximum H_infinity-norm over the set of uncertain paramete...
Branch and Bound Algorithm for Computing the Minimum Stability Degree of Parameter-Dependent Linear Systems
Branch Bound Algorithm Computing Minimum Stability Degree Parameter-Dependent Linear Systems
2015/7/13
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
On Computing the Worst-Case Peak Gain of Linear Systems
SISO discrete-time LTI systems computation of `1-gain discrete-time systems with diagonal perturbations
2015/7/13
Based on the bounds in the paper by Boyd and Doyle (Comparison of peak and RMS gains for discrete-time systems, Systems and Control Letters, 9:1-6), we present simple upper and lower bounds for the el...
Control system analysis and synthesis via linear matrix inequalities
Control system analysis synthesis linear matrix inequalities
2015/7/13
A wide variety of problems in systems and control theory can be cast or recast as convex problems that involve linear matrix inequalities (LMIs). For a few very special cases there are “analytical sol...
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...
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...
Analysis of Linear Systems with Saturation Using Convex Optimization
Analysis Linear Systems Saturation Convex Optimization
2015/7/13
We show how linear matrix inequalities (LMI) can be used to perform local stability and performance analysis of linear systems with saturating elements. This leads to conservative information on stabi...
Determinant Maximization with Linear Matrix Inequality Constraints
Determinant Maximization Linear Matrix Inequality Constraints
2015/7/10
The problem of maximizing the determinant of a matrix subject to linear matrix inequalities arises in many fields, including computational geometry, statistics, system identification, experiment desig...
Robust Optimal Control of Linear Discrete-Time Systems Using Primal-Dual Interior-Point Methods
Robust Optimal Control Linear Discrete-Time Systems Primal-Dual Interior-Point Methods
2015/7/10
This paper describes how to efficiently solve a robust optimal control problem using recently developed primal-dual interior-point methods. Among potential applications are model predictive control. T...
Joint Optimization of Communication Rates and Linear Systems
Communication systems control over networks convex optimization quantization noise
2015/7/10
We consider a linear control system in which several signals are transmitted over communication channels with bit-rate limitations. With the coding and medium access schemes of the communication syste...
Fast Linear Iterations for Distributed Averaging
Distributed consensus Linear system Spectral radius Graph Laplacian Semide!nite programming
2015/7/10
We consider the problem of finding a linear iteration that yields distributed averaging consensus over a network, i.e., that asymptotically computes the average of some initial values given at the nod...
Performance Bounds and Suboptimal Policies for Linear Stochastic Control via LMIs
dynamic programming stochastic control convex optimization
2015/7/9
In a recent paper, the authors showed how to compute performance bounds for infinite horizon stochastic control problems with linear system dynamics and arbitrary constraints, objective, and noise dis...
Extensions of Gauss Quadrature via Linear Programming
Gauss quadrature Semi-infi nite programming Convex optimization
2015/7/9
Gauss quadrature is a well known method for estimating the integral of a continuous function with respect to a given measure as a weighted sum of the function evaluated at a set of node points. Gauss ...
This paper describes the limiting asymptotic behaviour of a long cascade of linear reservoirs fed by stationary inflows into the first reservoir. We show that the storage in the nth reservoir becomes ...