Sensitivity Design, Analysis and Limitations

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Mobile Robots: Tracking Control
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Interplay between Control and Signal Processing
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Ambulatory Robot Systems
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Nonlinear Model Predictive Control
Sensitivity Design, Analysis and Limitations
Analysis of Linear Systems
Linear Matrix Inequalities in Design
Lyapunov's 2nd Method
Robotics: Tracking Control
Lagrangian and Hamiltonian Theory
Variable Structure Control
Machine Vision
Signal Processing Methods in Control
Applied Nonlinear Control

Author Index
A B C D E F G H I
J K L M N O P Q R
S T U V W X Y Z

Generalized Stability Preserving Maps

Authors:

Theodore E. Djaferis,

Volume: 1, Page 4972 Paper number 1158

Abstract:

Matrix stability preserving maps can be used to provide a different characterization of the existence of a fixed order controller that robustly stabilizes a family of plants. In addition, stability preserving map tests can be used as the basis for robust controller synthesis/design methods. In this paper we develop additional stability preserving map tests and demonstrate their use for the robust stabilization of a physical system. Earlier work restricted the order of the controller to be one less than the order of the plant family. Here we allow controllers to have arbitrary order and show how this leads to the concept of a generalized stability preserving map. We conclude the paper with a discussion about tests for such maps.

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Fundamental Limits for Sensitivity Reduction in Multiple-Input Multiple-Output Plants

Authors:

Thomas S. Brinsmead, Graham C. Goodwin,

Volume: 1, Page 4978 Paper number 1179

Abstract:

By applying known operator theoretic tools for the minimisation of the weighted H-infinity norm of sensitivity, explicit, closed form expressions involving Blaschke products are obtained for fundamental limits on the output feedback control of linear multivariable systems. These depend on both right-hand plane poles and zeroes, and their relative alignment.

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Extended Argument Principle and Integral Design Constraints, Part I: A Unified Formula for Classical Results

Authors:

Jie Chen, Gang Chen, Zhang Ren, Li Qiu,

Volume: 1, Page 4984 Paper number 1575

Abstract:

In this paper we study Bode and Poisson type integral relations. We call for attention to a link between the well-known argument principle and Bode and Poisson integrals, which seems to have been unnoticed previously. We show how various integral constraints may be unified under an extended version of the argument principle. This enables us to derive the classical Bode and Poisson integral relations in a simple manner, and further to discover new integral formulas of significance for analysis of control design limitation and tradeoff.

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On The Relationship Between Logarithmic Sensitivity Integrals And Limiting Optimal Control Problems

Authors:

Richard H. Middleton, Julio H. Braslavsky,

Volume: 1, Page 4990 Paper number 1985

Abstract:

Two seemingly independent streams of control systems research have examined logarithmic sensitivity integrals and limiting linear quadratic optimal control problems. These apparently diverse problems yield some results with an identical right hand side. The main contribution of this paper is to directly explain the commonality between these streams. This explanation involves the use of Parseval's theorem to derive tight inequality bounds between frequency domain logarithmic sensitivity integrals, and the achievable quadratic performance of a linear time invariant system.

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Effects of Radial Shifts of Eigenvalues on Norms of Linear Systems

Authors:

Jure Medanic,

Volume: 1, Page 4996 Paper number 41

Abstract:

We show that for linear systems represented in the controllable canonical form there are simple and systematic changes in the input/output properties of the closed-loop system, from the disturbance input to the system output, when controls are applied to produce a radial displacement of all the closed-loop poles. In particular this is true for the transfer function and the impulse response of the system. This in turn leads to a better understanding of how such changes in the control gains affect the induced L2 norm (the H-infinity norm) and the induced L-infinity norm (the L1 norm) of the system.

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