Spectral analysis of block structured nonlinear systems and higher order sinusoidal input describing functions

Automatica ◽  
2011 ◽  
Vol 47 (12) ◽  
pp. 2684-2688 ◽  
Author(s):  
David Rijlaarsdam ◽  
Pieter Nuij ◽  
Johan Schoukens ◽  
Maarten Steinbuch
Keyword(s):  
Spectral Analysis ◽  
Nonlinear Systems ◽  
Higher Order ◽  
Describing Functions ◽  
Sinusoidal Input ◽  
Block Structured

Spectral Analysis of Block Structured Nonlinear Systems

2011 ◽  
Vol 44 (1) ◽  
pp. 4416-4421
Author(s):  
David Rijlaarsdam ◽  
Pieter Nuij ◽  
Johan Schoukens ◽  
Maarten Steinbuch
Keyword(s):  
Spectral Analysis ◽  
Nonlinear Systems ◽  
Block Structured

Two-degree-of-freedom compensator design for disturbance attenuation problem via higher order sinusoidal input describing functions theory

2019 ◽  
pp. 014233121988037
Author(s):  
Bilal Erol ◽  
Muhammed Ali Oz ◽  
Levent Ucun
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Higher Order ◽  
Loop System ◽  
Disturbance Attenuation ◽  
Closed Loop System ◽  
Describing Functions ◽  
Sinusoidal Input ◽  
Bounded Uncertainties ◽  
Norm Bounded Uncertainties

In order to deal with disturbance attenuation problem in the presence of norm bounded uncertainties, different techniques involving [Formula: see text]/[Formula: see text] and linear quadratic regulator (LQR) designs exist in literature. The major drawbacks of these approaches may be classified as obtaining controllers with high order terms and too much computational load during the controller design. Hence, two-degree-of freedeom (2-DOF) controller design is taken into consideration in this study in order to avoid some of these drawbacks in the controller design and implementation process for disturbance attenuation problem. Here, the procedure for the design of 2-DOF structure is divided into two parts: designing [Formula: see text] controller to stabilize the closed loop system and implementing a higher order sinusoidal input describing functions (HOSIDF)-based compensator as a secondary controller in order to increase the disturbance attenuation performance of the overall closed loop system where the norm bounded uncertainties already exist. Thanks to the Lur’e type system definition that is also used in the design process of HOSIDF compensator, the research also proves that the proposed 2-DOF design structure is suitable to be implemented into the systems involving nonlinearities such as actuator saturation.

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