Results 1  10
of
19
Determinant maximization with linear matrix inequality constraints
 SIAM Journal on Matrix Analysis and Applications
, 1998
"... constraints ..."
The Complex Structures Singular Value
, 1993
"... A tutorial introduction to the complex structured singular value (µ) is presented, with an emphasis on the mathematical aspects of µ. The µbased methods discussed here have been useful for analyzing the performance and robustness properties of linear feedback systems. Several tests ..."
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Cited by 119 (10 self)
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A tutorial introduction to the complex structured singular value (µ) is presented, with an emphasis on the mathematical aspects of µ. The µbased methods discussed here have been useful for analyzing the performance and robustness properties of linear feedback systems. Several tests
H design of general multirate sampleddata control systems
 Automatica
, 1994
"... Direct digital design of general multirate sampleddata systems is considered. To tackle causality constraints, a new and natural framework is proposed using nest operators and nest algebras. Based on this framework explicit solutions to the H1 and H2 multirate control problems are developed in the ..."
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Cited by 19 (9 self)
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Direct digital design of general multirate sampleddata systems is considered. To tackle causality constraints, a new and natural framework is proposed using nest operators and nest algebras. Based on this framework explicit solutions to the H1 and H2 multirate control problems are developed in the frequency domain.
H∞ Control of Nonlinear Systems: A Convex Characterization
 IEEE TRANS. AUT. CONTROL
, 1995
"... The socalled nonlinear H∞control problem in state space is considered with an emphasis on developing machinery with promising computational properties. Both state feedback and output feedback H∞control problems for a class of nonlinear systems are characterized in terms of continuous positive def ..."
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Cited by 8 (1 self)
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The socalled nonlinear H∞control problem in state space is considered with an emphasis on developing machinery with promising computational properties. Both state feedback and output feedback H∞control problems for a class of nonlinear systems are characterized in terms of continuous positive definite solutions of algebraic nonlinear matrix inequalities which are convex feasibility problems. The issue of existence of solutions to these nonlinear matrix inequalities (NLMIs) is justified.
Minimization of the norm, the norm of the inverse and the condition number of a matrix by completion
, 1994
"... ..."
Stabilization of Uncertain Linear Systems: An LFT Approach
, 1996
"... This paper develops machinery for control of uncertain linear systems described in terms of linear fractional transformations (LFTs) on transform variables and uncertainty blocks, with primary focus on stabilization and controller parametrization. This machinery directly generalizes familiar states ..."
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Cited by 5 (1 self)
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This paper develops machinery for control of uncertain linear systems described in terms of linear fractional transformations (LFTs) on transform variables and uncertainty blocks, with primary focus on stabilization and controller parametrization. This machinery directly generalizes familiar statespace techniques. The notion of Qstability is defined as a natural type of robust stability, and output feedback stabilizability is characterized in terms of Qstabilizability and Qdetectability, which in turn are related to full information and full control problems. Computation is in terms of convex linear matrix inequalities (LMIs), the controllers have a separation structure, and the parametrization of all stabilizing controllers is characterized as a LFT on a stable free parameter. 1 Introduction Linear fractional transformations (LFTs) have come to play an important role in control system design [36], [12], [14], [28], [7], [31], [44]. In this paper, we develop machinery for linear ...
Transferfunction realization for multipliers of the Arveson space
, 2007
"... An interesting and recently much studied generalization of the classical Schur class is the class of contractive operatorvalued multipliers for the reproducing kernel Hilbert space H(kd) on the unit ball Bd ⊂ Cd, where kd is the positive kernel kd(λ, ζ) = 1/(1 −〈λ, ζ 〉) on Bd. We study this spac ..."
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Cited by 4 (4 self)
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An interesting and recently much studied generalization of the classical Schur class is the class of contractive operatorvalued multipliers for the reproducing kernel Hilbert space H(kd) on the unit ball Bd ⊂ Cd, where kd is the positive kernel kd(λ, ζ) = 1/(1 −〈λ, ζ 〉) on Bd. We study this space from the point of view of realization theory and functional models of de Branges–Rovnyak type. We highlight features which depart from the classical univariate case: coisometric realizations have only partial uniqueness properties, the nonuniqueness can be described explicitly, and this description assumes a particularly concrete form in the functionalmodel context.
SampledData Repetitive Control Systems
 In Proc. of the American Control Conference
, 1997
"... Repetitive control is employed in numerous industrial applications to allow systems to track or reject unknown periodic signals of a known period. This thesis takes a novel approach to the design and analysis of such systems, by introducing a useful performance measure, referred to as the induced po ..."
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Cited by 2 (1 self)
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Repetitive control is employed in numerous industrial applications to allow systems to track or reject unknown periodic signals of a known period. This thesis takes a novel approach to the design and analysis of such systems, by introducing a useful performance measure, referred to as the induced powernorm. This measure represents the maximum powernorm of the steadystate error vector in the system, for all periodic inputs of unit powernorm. The approach taken here is also new in that it is a sampleddata formulation. Hence, the intersample behavior is directly taken into account. First, a methodology is developed for designing optimal sampleddata repetitive controllers, based on minimizing the powernorm of the steadystate error vector for a given periodic input. It is shown that such an optimal controller always exists. This methodology is then generalized to the case of an unknown periodic input by minimizing the induced powernorm. Fast discretization is verified to be a usefu...
Minimizing the Condition Number of a Positive Definite Matrix By Completion
, 1994
"... Introduction Let A be an n \Theta n positive definite Hermitian matrix (denoted by A ? 0), let be B a p \Theta n matrix and W (X) = A B H B X for a Hermitian X . (Here B H denotes the conjugate transpose of the matrix B.) We consider the optimization problem min X;W (X)?0 cond(W (X)); ( ..."
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Cited by 1 (0 self)
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Introduction Let A be an n \Theta n positive definite Hermitian matrix (denoted by A ? 0), let be B a p \Theta n matrix and W (X) = A B H B X for a Hermitian X . (Here B H denotes the conjugate transpose of the matrix B.) We consider the optimization problem min X;W (X)?0 cond(W (X)); (1) where cond(W (X)) = kW (X)kkW (X) \Gamma1 k = max (W (X)) min (W (X)) (2) is the spectral con
H∞ Design of General Multirate SampledData Control Systems
 Automatica
, 1992
"... Direct digital design of general multirate sampleddata systems is considered. To tackle causality constraints, a new and natural framework is proposed using nest operators and nest algebras. Based on this framework explicit solutions to the H∞ and H2 multirate control problems are developed i ..."
Abstract
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Direct digital design of general multirate sampleddata systems is considered. To tackle causality constraints, a new and natural framework is proposed using nest operators and nest algebras. Based on this framework explicit solutions to the H∞ and H2 multirate control problems are developed in the frequency domain.