scholarly journals Nonlinear Control System for Non-Affine Undefined Plants with Output Delays

2021 ◽  
Vol 2096 (1) ◽  
pp. 012063
Author(s):  
E L Eremin ◽  
L V Nikiforova ◽  
E A Shelenok
Keyword(s):  
Control System ◽  
Nonlinear Control ◽  
Control Systems ◽  
Single Channel ◽  
Nonlinear Control System ◽  
Control Algorithms ◽  
Relative Order ◽  
State Delay ◽  
State Delays

Abstract The article deals with the problem of synthesis of the control algorithms for combined nonlinear control system for one class of single-channel non-affine priory uncertain plants with state delay in the presence of permanent bounded external noises and at measuring only the plant’s output signal. As methods for solving this problem V. M. Popov’s hyperstability criterion and the conditions of L-dissipativity are used. With the help of simulation the operation quality of the obtained system at different values of the plant relative order and its parameters is shown. The results obtained in article may be useful for construction the control systems for different dynamic plants which contains input nonlinearities and state delays.

SET-VALUED DYNAMICS IN PROBLEMS OF MATHEMATICAL THEORY OF CONTROL PROCESSES

2012 ◽  
Vol 26 (25) ◽  
pp. 1246010 ◽  
Author(s):  
TATIANA FILIPPOVA
Keyword(s):  
Control System ◽  
Differential Equations ◽  
Nonlinear Control ◽  
Control Systems ◽  
Mathematical Theory ◽  
Quadratic System ◽  
Nonlinear Control System ◽  
Reachable Sets ◽  
The Right ◽  
Differential Control

The dynamics and properties of set-valued states of differential control systems with uncertainties in initial data are studied. It is assumed that the dynamical system has a special structure, in which nonlinear terms in the right-hand sides of related differential equations are quadratic in state coordinates. We construct external and internal ellipsoidal estimates of reachable sets of nonlinear control system and find differential equations of proposed ellipsoidal estimates of reachable sets of nonlinear control system. The results obtained for quadratic system nonlinearities are extended to other types of control systems under uncertainty.

Stabilization of a Class of Two-Dimensional Critical Control Systems

2013 ◽  
Vol 457-458 ◽  
pp. 1008-1011
Author(s):  
Jun Liu ◽  
Hong Ying Luo ◽  
Yuan Yuan Guo ◽  
Bo Wu
Keyword(s):  
Control System ◽  
Nonlinear Control ◽  
Control Systems ◽  
Absolute Stability ◽  
Lyapunov Method ◽  
Nonlinear Control System ◽  
Sufficient Condition ◽  
Two Dimensional

This paper uses the Lyapunov method to study the control system of a class of two-dimensional critical, and acquires the sufficient condition for absolute stability of the two-dimensional critical nonlinear control system.

RESPONSE OF A HIGH-SPEED WAVE-PIERCING CATAMARAN TO AN ACTIVE RIDE CONTROL SYSTEM

2021 ◽  
Vol 158 (A4) ◽  
Author(s):  
J AlaviMehr ◽  
M R Davis ◽  
J Lavroff ◽  
D S Holloway ◽  
G A Thomas
Keyword(s):  
Control System ◽  
Control Systems ◽  
High Speed ◽  
Control Surface ◽  
Control Algorithms ◽  
Active Centre ◽  
Ride Control ◽  
Control Step ◽  
Set Up ◽  
Ride Control System

Ride control systems on high-seed vessels are an important design features for improving passenger comfort and reducing motion sickness and dynamic structural loads. To investigate the performance of ride control systems a 2.5m catamaran model based on the 112m INCAT catamaran was tested with an active centre bow mounted T-Foil and two active stern mounted trim tabs. The model was set-up for towing tank tests in calm water to measure the motions response to ride control step inputs. Heave and pitch response were measured when the model was excited by deflections of the T-Foil and the stern tab separately. Appropriate combinations of the control surface deflections were then determined to produce pure heave and pure pitch response. This forms the basis for setting the gains of the ride control system to implement different control algorithms in terms of the heave and pitch motions in encountered waves. A two degree of freedom rigid body analysis was undertaken to theoretically evaluate the experimental results and showed close agreement with the tank test responses. This work gives an insight into the motions control response and forms the basis for future investigations of optimal control algorithms.

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