Optimized stiffness for linear time-invariant dynamic system according to a new system design

2012 ◽  
Author(s):  
Tawiwat Veeraklaew
Keyword(s):  
Dynamic System ◽  
System Design ◽  
Linear Time ◽  
Linear Time Invariant ◽  
Time Invariant ◽  
New System

A Simple Algorithm for Pole Assignment in a Multiple Input Linear Time Invariant Dynamic System

1974 ◽  
Vol 96 (1) ◽  
pp. 13-18 ◽  
Author(s):  
M. R. Chidambara ◽  
R. B. Broen ◽  
J. Zaborszky
Keyword(s):  
Dynamic System ◽  
Linear Time ◽  
Simple Algorithm ◽  
Pole Assignment ◽  
Asymptotic State ◽  
Linear Time Invariant ◽  
Input System ◽  
Multiple Input ◽  
System Equations ◽  
Time Invariant

This paper is concerned with the development of a simple algorithm for solving the problem of pole assignment in a multiple input linear time-invariant dynamic system, by means of state variable feedback. Unlike other existing methods which solve the same problem, the proposed algorithm does not require the transformation of the system equations to a special canonical form or the reduction of the multiple input system to an equivalent single input system. Analogously, the dual problem of constructing an asymptotic state estimator for a multiple output system is solved, with the solution enjoying analogous advantages.

A Geometric Representation of Root Sensitivity

1994 ◽  
Vol 116 (2) ◽  
pp. 305-309 ◽  
Author(s):  
T. R. Kurfess ◽  
M. L. Nagurka
Keyword(s):  
Control System ◽  
System Design ◽  
Dynamic Systems ◽  
Linear Time ◽  
Sensitivity Function ◽  
Control System Design ◽  
Geometric Representation ◽  
Root Locus ◽  
Linear Time Invariant ◽  
Time Invariant

In this paper, we present a geometric method for representing the classical root sensitivity function of linear time-invariant dynamic systems. The method employs specialized eigenvalue plots that expand the information presented in the root locus plot in a manner that permits determination by inspection of both the real and imaginary components of the root sensitivity function. We observe relationships between root sensitivity and eigenvalue geometry that do not appear to be reported in the literature and hold important implications for control system design and analysis.

scholarly journals Global Stability of Polytopic Linear Time-Varying Dynamic Systems under Time-Varying Point Delays and Impulsive Controls

2010 ◽  
Vol 2010 ◽  
pp. 1-33 ◽  
Author(s):  
M. de la Sen
Keyword(s):  
Dynamic System ◽  
Linear Systems ◽  
Dynamic Systems ◽  
Linear Time ◽  
Time Varying ◽  
Linear Time Invariant ◽  
Impulsive Controls ◽  
The Stability ◽  
Time Invariant ◽  
Point Delays

This paper investigates the stability properties of a class of dynamic linear systems possessing several linear time-invariant parameterizations (or configurations) which conform a linear time-varying polytopic dynamic system with a finite number of time-varying time-differentiable point delays. The parameterizations may be timevarying and with bounded discontinuities and they can be subject to mixed regular plus impulsive controls within a sequence of time instants of zero measure. The polytopic parameterization for the dynamics associated with each delay is specific, so that(q+1)polytopic parameterizations are considered for a system withqdelays being also subject to delay-free dynamics. The considered general dynamic system includes, as particular cases, a wide class of switched linear systems whose individual parameterizations are timeinvariant which are governed by a switching rule. However, the dynamic system under consideration is viewed as much more general since it is time-varying with timevarying delays and the bounded discontinuous changes of active parameterizations are generated by impulsive controls in the dynamics and, at the same time, there is not a prescribed set of candidate potential parameterizations.

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