A Robust Controller for Second-Order Systems Using Acceleration Measurements

1997 ◽  
Vol 119 (2) ◽  
pp. 350-355 ◽  
Author(s):  
C.-H. Chuang ◽  
Oliver Courouge ◽  
Jer-Nan Juang
Keyword(s):  
Robust Stability ◽  
Control Design ◽  
Second Order ◽  
Positive Real ◽  
Robust Controller ◽  
Mass System ◽  
Strictly Positive Real ◽  
Robust Control Design ◽  
Second Order Systems ◽  
Strictly Positive Realness

This paper presents a robust control design using strictly positive realness for second-order dynamic systems. A robust strictly positive real controller stabilizes second-order systems with only acceleration measurements. An important property of this design is that the stabilization is independent of the system plant parameters. The control design connects a virtual system to a given plant such that any strictly positive real controller can be used to achieve robust stability. A spring-mass system is used as an example to demonstrate the robust stability and robust performance of this design.

Deterministic robust control design for an iron core linear drive including second-order electrical dynamics

2018 ◽  
Vol 232 (8) ◽  
pp. 951-962 ◽  
Author(s):  
Fernando Villegas ◽  
Rogelio Hecker ◽  
Miguel Peña
Keyword(s):  
Robust Control ◽  
Tracking Error ◽  
Second Order ◽  
Iron Core ◽  
State Variables ◽  
State Transformation ◽  
Robust Controller ◽  
Current Controller ◽  
Bounded State ◽  
Robust Control Design

This work proposes a deterministic robust controller to improve tracking performance for a linear motor, taking into account the electrical dynamics imposed by a commercial current controller. The design is split in two parts by means of the backstepping technique, in which the first part corresponds to a typical deterministic robust controller, neglecting the electrical dynamics. In the second part, a second-order electrical dynamics is considered using a particular state transformation. There, the proposed control law is composed of a term to compensate the known part of the model and a robust control term to impose a bound on the effect of uncertainties on tracking error. Stability and boundedness results for the complete controller are given. To this effect, a general result on boundedness and stability of nonlinear systems with conditionally bounded state variables is derived first. Finally, experimental results for the complete controller show an improvement on tracking error of up to 31.7% when compared with the results from the typical controller that neglects the electrical dynamics.

scholarly journals Robust Control Design for Kaplan Turbine

2021 ◽  
Vol 2141 (1) ◽  
pp. 012006
Author(s):  
Hernando González Acevedo
Keyword(s):  
Robust Control ◽  
Dynamic Model ◽  
Transient Response ◽  
Reference Signal ◽  
Control Design ◽  
Parameter Uncertainties ◽  
Robust Controller ◽  
System A ◽  
Kaplan Turbine ◽  
Robust Control Design

Abstract The paper presents the dynamic model of a Kaplan turbine coupled to a DC generator, which is part of the H112D didactic system. A robust controller is designed using two different techniques: H ∞ mixed sensitivity and Quantitative feedback Theory (QFT). The robustness of the controller was analysed with three indicators: analysis of parameter uncertainties, transient response given a variable reference signal and robustness against disturbances.

Sign in / Sign up

Export Citation Format

Share Document