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.
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.
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.
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.
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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