Equivalence to a (Strict) Feedforward Form of Nonlinear Discrete-Time Single-Input Control Systems

2006 ◽  
Author(s):  
C.H. Moog ◽  
U. Kotta
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Input Control ◽  
Single Input

scholarly journals Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)0

2016 ◽  
Vol 24 (2) ◽  
pp. 45-65 ◽  
Author(s):  
Rory Biggs ◽  
Claudiu C. Remsing
Keyword(s):  
State Space ◽  
Control Systems ◽  
Equivalence Class ◽  
Lie Group ◽  
Orthogonal Group ◽  
Full Rank ◽  
Input Control ◽  
The Matrix ◽  
Single Input ◽  
Invariant Control

AbstractWe consider left-invariant control affine systems on the matrix Lie group SO (2, 1)0. A classification, under state space equivalence, of all such full-rank control systems is obtained. First, we identify certain subsets on which the group of Lie algebra automorphisms act transitively. We then systematically identify equivalence class representatives (for single-input, two-input and three-input control systems). A brief comparison of these classification results with existing results concludes the paper.

Genetic algorithms in model structure and controller structure identification

1997 ◽  
Vol 211 (5) ◽  
pp. 333-343 ◽  
Author(s):  
I G French ◽  
C S Cox ◽  
C K S HO
Keyword(s):  
Control Systems ◽  
Discrete Time ◽  
Structure Identification ◽  
Time Transfer ◽  
Output Control ◽  
Single Input Single Output ◽  
Single Output ◽  
Advanced Control ◽  
Single Input ◽  
Selection Of

Conventional multiloop SISO (single-input, single-output) control systems are still used in industry even though stating interaction between loops often significantly limits their effectiveness. Modern industry requires advanced control solutions based around multivariable system formulations. Two related but specific problems arise in the design of discrete-time MIMO (multi-input, multi-output) control systems. The first is the efficient identification of the structure, order and parameters of the MIMO discrete-time transfer function process description. The second is the difficulty in quickly establishing the selection of an appropriate set of manipulated variables to control a set of specified outputs, often called the ‘pairing problem’. This paper suggests a framework to help solve both problems by the development of automated search procedures based on a genetic algorithm.

Simulation and Dimensional Analysis of a Stepping Extremum Control System

1969 ◽  
Vol 2 (1) ◽  
pp. T6-T12
Author(s):  
O. L. R. Jacobs
Keyword(s):  
Computer Simulation ◽  
Control System ◽  
Control Systems ◽  
Dimensional Analysis ◽  
Discrete Time ◽  
Quantitative Information ◽  
Measurement Noise ◽  
Control Law ◽  
Output Measurement ◽  
Single Input

The paper describes a digital computer simulation of a class of discrete-time, single-input, stepping extremum control systems with input disturbance and output measurement noise and with an easily instrumented control law. The results of the simulation provide both design equations and quantitative information about the best results that can be achieved with the class of systems considered. Two features of the simulation that are of interest are an automatic procedure that is used to reduce statistical errors to a specified level, and the use of dimensional analysis to reduce the number of variables that need be considered to two.

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