An Efficient Robust Adaptive Control Law For Robot Manipulators

1996 ◽  
Vol 210 (4) ◽  
pp. 363-372 ◽  
Author(s):  
H Yu ◽  
S Lloyd
Keyword(s):  
Adaptive Control ◽  
Variable Structure ◽  
Robust Adaptive Control ◽  
Control Law ◽  
Computationally Efficient ◽  
Structure Control ◽  
Robust Adaptive ◽  
The Stability ◽  
Adaptive Control Algorithm ◽  
Adaptive Control Law

A computationally efficient robust adaptive control algorithm is proposed in this paper. The regressors are implemented using the desired trajectories to replace the actual trajectories in order to reduce the computational burden. To reduce the disturbance introduced by this replacement, an adaptive variable structure control law is proposed. The proposed adaptive control law results in a system that is robust to bounded input disturbances. A small modification of the control law makes the system robust to more general input disturbances. The stability analysis is in the Lyapunov sense. Simulation results demonstrate the validity of the proposed scheme.

Robust Adaptive Control of Mildly Nonlinear Systems With Time Varying Input/Output Delays

2012 ◽  
Author(s):  
James P. Nelson ◽  
Mark J. Balas ◽  
Richard S. Erwin
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Adaptive Controller ◽  
Robust Adaptive Control ◽  
Control Law ◽  
Time Varying ◽  
Robust Adaptive ◽  
Input Delays ◽  
Persistent Disturbances ◽  
Adaptive Control Law

Many systems must operate in the presence of delays both internal to the system and in its inputs and outputs. In this paper we present a robustness result for mildly nonlinear systems. We use this result to show that, for small unknown time varying input delays, a simple adaptive controller can produce output regulation to a neighborhood with radius dependent upon the size of an upper bound on the delay. This regulation occurs in the presence of persistent disturbances and the convergence is exponential. We conclude with an example to illustrate the behavior of this adaptive control law.

Robust Adaptive Control of Nonlinear Systems With Input/Output Delays

2010 ◽  
Author(s):  
Mark J. Balas ◽  
Suraj Gajendar
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Adaptive Controller ◽  
Output Regulation ◽  
Robust Adaptive Control ◽  
Control Law ◽  
Robust Adaptive ◽  
Input Delays ◽  
Persistent Disturbances ◽  
Adaptive Control Law

Many systems must operate in the presence of delays both internal to the system and in its inputs and outputs. In this paper we present a robustness result for mildly nonlinear systems. We use this result to show that for small unknown input delays, a simple adaptive controller can produce output regulation to a neighborhood with radius dependent upon the size of the delay. This regulation occurs in the presence of persistent disturbances and the convergence is exponential. We conclude with an example to illustrate the behavior of this adaptive control law.

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

2021 ◽  
Vol 3 (3) ◽  
Author(s):  
Naeimadeen Noghredani ◽  
Naser Pariz
Keyword(s):  
Adaptive Control ◽  
Switched Systems ◽  
Variable Structure ◽  
Robust Adaptive Control ◽  
Linear Matrix ◽  
Switching Rule ◽  
Nonlinear Switched Systems ◽  
State Dependent ◽  
Robust Adaptive ◽  
The Stability

AbstractThis paper presents a novel adaptive control for a class of nonlinear switched systems by introducing a sufficient condition for stabilization. Based on the possible instability of all sub-systems, a variable structure (VS) switching rule with an adaptive approach and sliding sector was offered. Moreover, the stability condition of the system can be determined by solving linear matrix inequalities (LMIs) to ensure asymptotic stability. The application of H∞ analysis of nonlinear switched systems was also investigated through the design of the mentioned adaptive control system and defining a VS switching rule. Finally, simulation results were presented to validate the novelty of the proposed method.

Robust Adaptive Control for Gun Control System of Tank

2011 ◽  
Vol 295-297 ◽  
pp. 270-273
Author(s):  
Jian Ping Cai ◽  
Jun Er Ma
Keyword(s):  
Adaptive Control ◽  
Control System ◽  
External Disturbance ◽  
Robust Adaptive Control ◽  
Gun Control ◽  
Control Law ◽  
Unknown Constant ◽  
Adaptive Estimator ◽  
Robust Adaptive ◽  
The Stability

In this note, a class of gun control system of tank is considered with all uncertainties, such as unknown constant parameters, unlinearly parts, unparameterized parts, unmodeled parts, unknown external disturbance and so on. An robust adaptive control law is designed with backstepping technique. Compared to exist results on tank gun control problem , our control scheme combine the robust control and the adaptive estimator of unknown constant parameters and can compensate all uncertainties Accurately. The stability of closed loop system and the tracking performance can be guaranteed by this control law. Simulation studies show that this controller is effective.

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