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Then, by choosing appropriate free parameters in the parametric solutions of a class of linear matrix equations, the resulting feedback gain matrix can simultaneously minimize some quadratic performance index and assign the poles of the closed-loop systems to the desired locations.

The advantages of the proposed approach are summarized as follows.

Because of the common existence of parameters drift and delay effect in engineering systems (see, e.g., [9–13]), the feedback controllers designed by theoretical method are often subject to parameter perturbations after a period of running time.

But if the perturbation satisfies certain conditions, the linear quadratic optimal controller can still guarantee the stability of the closed-loop system.

It is well known in the literature (see, e.g., [1]) that the linear quadratic optimal controller possesses very good robustness properties; for example, it has at least a 6 d B gain margin and a phase margin for single input linear system [2].

On the other hand, as a nonoptimal design approach, the pole assignment approach can arbitrarily assign the poles of the closed-loop system to any place so that a very satisfactory transient performance of the closed-loop system can be achieved.

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Then, the closed-loop system (5) consisting of the linear system (1) and the linear state feedback (3) is asymptotically stable; namely, all the eigenvalues of the closed-loop system matrix of the quadratic optimal controller can ensure that the closed-loop system has very good robustness properties.

Moreover, for single-input linear systems, it has been proven that the closed-loop system has a phase margin of 60 degrees and a magnitude margin of by the feedback gain, the resulting closed-loop system remains asymptotically stable.

## Comments Pole Assignment

## Optimization and Pole Assignment in Control System Design

Why Pole Assignment The PAP is an important problem in control system design, although its practical usefulness has been continuously un-der dispute. Many systems were controlled via pole assign-ment and related techniques. Others preferred other tech-niques in state space such as LQR or the frequency domain like H1. A satisfactory.…

## Algorithm for Robust Pole Assignment in Singular Systems

The solution of the pole assignment problem by feedback in singular systems is parameterized and conditions are given which guarantee the regularity and maximal degree of the closed loop pencil.…

## ON POLE ASSIGNMENT IN MULTI-INPUT CONTROLLABLE LINEAR SYSTEMS

ABSTRACT OF ON POLE ASSIGNMENT IN MULTI-INPUT CONTROLLABU LINEAR SYSTEMS W. M. Wonham It is shown that controllability of an open-loop system is equivalent to the possibility of assigning an arbitrary set of…

## Robust pole assignment in linear state feedback.

Numerical methods are described for determining robust, or well-conditioned, solutions to the problem of pole assignment by state feedback. The solutions obtained are such that the sensitivity of the assigned poles to perturbations in the system and gain matrices is minimized. It is shown that for.…

## PCS6.0 - reference.

One is known as the spectral approach and the other is known as the mapping approach. Both of these will generate the same results as Ackermann's method, since the state-feedback gains developed for a single-input system, to meet a given pole assignment requirement, are unique.…

## In control theory, what is the pole-placement method? - Quora

Pole placement method is a controller design method in which you determine the places of the closed loop system poles on the complex plane by setting a controller gain mathK/math.…

## Pole assignment for uncertain systems -

Get this from a library! Pole assignment for uncertain systems. Mehmet Turan Söylemez -- "Pole assignment for uncertain systems is a book where many existing as well as new pole assignment methods are described using a common notation and a clear yet efficient language.…

## SS9 Totem Pole assignment Final -

Pole as a memory aid. This is an example of the overall structure of the totem pole, these are suggested topics that could be used to construct your totem.…