APPROXIMATE DIFFERENTIATION

1980 ◽  
Vol 6 (1) ◽  
pp. 9
Author(s):  
BRUCKNER ◽  
GOFFMAN
Keyword(s):  
Approximate Differentiation

scholarly journals Approximate differentiation

1925 ◽  
Vol 56 (1) ◽  
pp. 116-117 ◽  
Author(s):  
Cilas Wickens
Keyword(s):  
Approximate Differentiation

scholarly journals Approximate differentiation: Jarník points

1991 ◽  
Vol 140 (1) ◽  
pp. 87-97
Author(s):  
Jan Malý ◽  
Luděk Zajı́ček
Keyword(s):  
Approximate Differentiation

Control of Linear Systems by Output Proportional Plus Derivative Feedback

1990 ◽  
Vol 112 (1) ◽  
pp. 27-34 ◽  
Author(s):  
A. Haraldsdottir ◽  
P. T. Kabamba ◽  
A. G. Ulsoy
Keyword(s):  
Linear Time ◽  
Design Method ◽  
Design Procedure ◽  
Perfect State ◽  
Linear Time Invariant ◽  
Approximate Differentiation ◽  
Quadratic Performance ◽  
Linear Time Invariant Systems ◽  
Improved Performance ◽  
Control Of Linear Systems

This paper presents a design procedure for linear time invariant systems using output proportional plus derivative feedback. The derivative feedback is shown to improve the controller performance in the presence of parameter variations and disturbance inputs, at the cost of increased noise response. A quadratic performance index, with the addition of terms to penalize disturbance and noise response and eigenvalue and response sensitivity, is used as the basis for a design method. The proposed method is a generalization of one presented previously for the case of perfect state and state derivative feedback. The method is illlustrated on a simple first order example and on the design of a controller for the lateral dynamnics of an L1011 aircraft. The results indicate that improved performance is obtained through the addition of perfect output derivative feedback, however, much of that improvement is lost when approximate differentiation is used.

PRACTICAL SYNCHRONIZATION OF NONAUTONOMOUS SYSTEMS WITH UNCERTAIN PARAMETER MISMATCH VIA A SINGLE STATE FEEDBACK CONTROL

2012 ◽  
Vol 23 (11) ◽  
pp. 1250073 ◽  
Author(s):  
MIHUA MA ◽  
JIN ZHOU ◽  
JIANPING CAI
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Uncertain Parameter ◽  
Van Der Pol Oscillator ◽  
Control Technique ◽  
Parameter Mismatch ◽  
Nonautonomous Systems ◽  
Approximate Differentiation ◽  
Single State

Robust practical synchronization of general second-order nonautonomous systems with uncertain parameter mismatch is investigated by using a single state feedback control. Some simple general algebraic criteria are derived based on practical stability theory of nonautonomous dynamical system. A distinctive feature of this work is that the parameter mismatch not only exists in system parameters, but also in the external excitation ones. More reasonably, the values of parameter mismatch can be uncertain. Besides, a single state feedback control including an approximate differentiation filter only needs to know information about one state, which provides an advantage over the use of full-state model-based observers. It is shown that the approaches developed here further extend the ideas and techniques presented in recent literature. As a direct application of the new theoretical results, the obtained results are applied to a typical horizontal platform system and the representative forced Duffing–Van der Pol oscillator. Subsequently, numerical simulations demonstrate the effectiveness of the criteria and the robustness of the control technique.

Sign in / Sign up

Export Citation Format

Share Document