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Multi-objective H2/H-infinity-Optimal Control via Finite Dimensional Q-Parametrization and Linear Matrix Inequalities
Finite Dimensional Q-Parametrization Linear Matrix Inequalities
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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
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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...
We present a method for optimizing and automating component and transistor sizing for CMOS operational amplifiers. We observe that a wide variety of performance measures can be formulated as posynomia...
Analysis of Linear Systems with Saturation Using Convex Optimization
Analysis Linear Systems Saturation Convex Optimization
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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...
Synthesizing Stability Regions for Systems with Saturating Actuators
Synthesizing Stability Regions Systems Saturating Actuators
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2015/7/10
This paper presents a method of synthesizing controllers for systems with input saturation that guarantees state space regions of attraction. While the computation of stability regions and the corresp...
Control Applications of Nonlinear Convex Programming
linear programming convex optimization interior-point methods robust optimal control
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2015/7/10
Since 1984 there has been a concentrated effort to develop efficient interior-point methods for linear programming (LP). In the last few years researchers have begun to appreciate a very important pro...
Optimizing Dominant Time Constant in RC Circuits
Optimizing Dominant Time Constant RC Circuits
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2015/7/10
We propose to use the dominant time constant of a resistor-capacitor (RC) circuit as a measure of the signal propagation delay through the circuit. We show that the dominant time constant is a quasico...
Connections Between Semi-Infinite and Semidefinite Programming
Connections Between Semi-Infinite Semidefinite Programming
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2015/7/10
Some interesting semi-infinite optimization problems can be reduced to semidefinite optimization problems, and hence solved efficiently using recent interior-point methods. In this paper we discuss se...
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
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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...
Optimal Temperature Profiles for Post-Exposure Bake of Photoresist
Photo-Resist Baking Linear Programming Critical Dimensions
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2015/7/10
In this paper it is shown how to compute optimal temperature profiles for post-exposure bake of photo-resist. The profiles are optimal in the sense that the worst case non-uniformity of the dissolutio...
Applications of Second-Order Cone Programming
Applications Second-Order Cone Programming
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2015/7/10
In a second-order cone program (SOCP) a linear function is minimized over the intersection of an affine set and the product of second-order (quadratic) cones. SOCPs are nonlinear convex problems that ...
Optimization of Inductor Circuits via Geometric Programming
Optimization Inductor Circuits Geometric Programming
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2015/7/10
We present an efficient method for optimal design and synthesis of CMOS inductors for use in RF circuits. This method uses the the physical dimensions of the inductor as the design parameters and hand...
A Class of Lyapunov Functionals for Analyzing Hybrid Dynamical Systems
Lyapunov Functionals Analyzing Hybrid Dynamical Systems
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2015/7/10
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
A path-following method for solving BMI problems in control
Bilinear matrix inequality (BMI) equality (LMI) low-authority control
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2015/7/10
In this paper we present a path-following (homotopy) method for (locally) solving bilinear matrix inequality (BMI) problems in control. The method is to linearize the BMI using a first order perturbat...
A Two-Bit Scheme for Routing Lookup
Scheme Routing Lookup
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2015/7/10
Performing address lookup at a router has become a severe bottleneck. This is because increasing link speeds leave very little time to lookup an address, and an explosion in the number of hosts has le...