Design of Control Systems for Performance: A Constraint Mapping Approach

1990 ◽  
Author(s):  
Robert Beyers ◽  
Subhas Desa
Keyword(s):  
Control System ◽  
Linear Systems ◽  
System Analysis ◽  
Dynamic Performance ◽  
Single Input Single Output ◽  
Analysis And Design ◽  
Single Output ◽  
Performance Requirements ◽  
Trade Offs ◽  
Single Input

Abstract This paper is the single-input, single-output frequency domain counterpart of a framework developed by the authors [7] for the design for performance of constrained controlled dynamic systems. Simple s-plane maps are used to graphically reveal interactions of performance requirements and constraints, thus permitting a control system designer to clearly understand performance trade-offs. Two important facts underlie our approach: (a) the dynamic performance of a closed-loop system is limited by certain constraints and (b) successful control system design must explicitly account for these constraints. The approach is applied to second-order linear systems which are the basis for much control system analysis and design of single-input, single-output linear systems.

scholarly journals Comparative study of zero effects in pole-placement control system design via the shift and delta transforms

2005 ◽  
Vol 18 (3) ◽  
pp. 439-451
Author(s):  
Milica Naumovic
Keyword(s):  
Control System ◽  
System Design ◽  
Pole Placement ◽  
Control System Design ◽  
Single Input Single Output ◽  
Single Output ◽  
Continuous Time Systems ◽  
Single Input ◽  
Pole Placement Control ◽  
Time Systems

This paper deals with the special replacement of the shift operator and its associated z transform by delta operator and ? transform, respectively. The aim of the paper is to clarify the role of zeros of discretized linear single input single output continuous-time systems modeled by shift and delta operators. In particular, the effect of zero dynamics on the control system design based on classical pole-zero assignment in the case of both operators is considered. The analysis is illustrated by simulation results.

Isotropic Compliance in E(3): Feasibility and Workspace Mapping

2016 ◽  
Vol 8 (6) ◽  
Author(s):  
Matteo Verotti ◽  
Nicola P. Belfiore
Keyword(s):  
Control System ◽  
Euclidean Space ◽  
Joint Control ◽  
Control Law ◽  
Single Input Single Output ◽  
Gain Ratio ◽  
Single Output ◽  
Control Gain ◽  
Single Input ◽  
Manipulator Control

A manipulator control system, for which isotropic compliance holds in the Euclidean space E(3), can be significantly simplified by means of diagonal decoupling. However, such simplification may introduce some limits to the region of the workspace where the sought property can be achieved. The present investigation reveals how to detect which peculiar subset, among four different classes, a given manipulator belongs to. The paper also introduces the concept of control gain ratio for each specific single-input/single-output joint control law in order to limit the maximum gain required to achieve the isotropic compliance condition.

scholarly journals MIMO Passive Control Systems Are Not Necessarily Robust

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Jesús U. Liceaga-Castro ◽  
Irma I. Siller-Alcalá ◽  
Eduardo Liceaga-Castro ◽  
Luis A. Amézquita-Brooks
Keyword(s):  
Control System ◽  
Structure Function ◽  
Control Systems ◽  
Passive Control ◽  
Linear Control System ◽  
Linear Control ◽  
Single Input Single Output ◽  
Single Output ◽  
Single Input

Via several cases of study it is shown that a passive multivariable linear control system, contrary to its single input single output counterpart, may not be robust. Moreover, it is shown that lack of robustness can be exposed via the multivariable structure function.

A New Approach on Stabilization Control of an Inverted Pendulum, Using PID Controller

2011 ◽  
Vol 403-408 ◽  
pp. 4674-4680 ◽  
Author(s):  
Kaveh Razzaghi ◽  
Ali Akbar Jalali
Keyword(s):  
Inverted Pendulum ◽  
System Analysis ◽  
Single Input Single Output ◽  
Stabilization Control ◽  
Single Output ◽  
Standard Problem ◽  
Angle Of Deviation ◽  
Output System ◽  
Single Input ◽  
Two Parameters

Inverted Pendulum is a standard problem in control systems and is appropriate for depicting linear control principles. In this system there is an inverted pendulum connected to a cart that moves along a horizontal track with the help of a motor. We can determine the cart’s position and velocity from the motor and the rail track limits the cart’s movement in a bidirectional path. The pendulum’s angle of deviation and the position of the cart are determined by two sensors mounted on the system. Essential measurements and motor control signals are generated by a medium control board linking the computer and the system. Analysis of the results and yielding the control commands are done with the help of a MATLAB program. This is indeed a single input- dual output system because we must be able to control two parameters (pendulum’s angle and cart’s position) with just one control signal to the motor. Since the PID (Proportional Integral Derivative) controller is usually proper for SISO (Single Input Single Output) systems, we are eager to propose a procedure to control one of these parameters underneath the other. In this paper two tactics are described: 1. controlling the cart’s position beneath the pendulum’s angle, and 2. controlling the pendulum’s angle beneath the cart’s position. Regarding the results, one method is proven to be superior. We also mention some practical considerations in this paper.

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