On H-infinity controller design for singularly perturbed uncertain systems

1997 ◽  
Author(s):  
Peng Shi ◽  
Shyh-Pyng Shue ◽  
Ramesh Agarwal ◽  
Peng Shi ◽  
Shyh-Pyng Shue ◽  
...  
Keyword(s):  
Uncertain Systems ◽  
Controller Design ◽  
Singularly Perturbed ◽  
H Infinity

Robust Stabilizing Controller Design for Inverted Pendulum System

2014 ◽  
Vol 71 (1) ◽  
Author(s):  
Hazem I. Ali
Keyword(s):  
Steady State ◽  
Time Domain ◽  
State Feedback ◽  
Inverted Pendulum ◽  
Controller Design ◽  
H Infinity ◽  
Pendulum System ◽  
Stabilizing Controller ◽  
Inverted Pendulum System ◽  
System Uncertainties

In this paper the design of robust stabilizing state feedback controller for inverted pendulum system is presented. The Ant Colony Optimization (ACO) method is used to tune the state feedback gains subject to different proposed cost functions comprise of H-infinity constraints and time domain specifications. The steady state and dynamic characteristics of the proposed controller are investigated by simulations and experiments. The results show the effectiveness of the proposed controller which offers a satisfactory robustness and a desirable time response specifications. Finally, the robustness of the controller is tested in the presence of system uncertainties and disturbance.

Stewart Platform Model with Uncertain Parameters

2010 ◽  
Vol 164 ◽  
pp. 177-182 ◽  
Author(s):  
Lukas Březina ◽  
Tomáš Březina
Keyword(s):  
State Space ◽  
Controller Design ◽  
State Space Model ◽  
Stewart Platform ◽  
Dynamics Model ◽  
H Infinity ◽  
Uncertain Dynamics ◽  
Six Dof ◽  
Linear State ◽  
Nominal Position

The paper deals with development of uncertain dynamics model of a six DOF parallel mechanism (Stewart platform) suitable for H-infinity controller design. The model is based on linear state space models of the machine obtained by linearization of the SimMechanics model. The linearization is performed for two positions of the machine in its workspace. It is the nominal position and the position where each link of the machine reaches its maximal length. The uncertainties are then represented as differences between parameters of corresponding state-space matrices. The uncertain state space model is then obtained using upper linear fractional transformation. There are also mentioned several notes regarding H-infinity controller designed according to the obtained model.

scholarly journals H-infinity controller design for active magnetic bearings considering nonlinear vibrational rotordynamics

2017 ◽  
Vol 4 (5) ◽  
pp. 16-00716-16-00716 ◽  
Author(s):  
Matthew O. T. COLE ◽  
Chakkapong CHAMROON ◽  
Patrick S. KEOGH
Keyword(s):  
Controller Design ◽  
Magnetic Bearings ◽  
Active Magnetic Bearings ◽  
H Infinity

scholarly journals Singularly Perturbation Method Applied To Multivariable PID Controller Design

2015 ◽  
Vol 2015 ◽  
pp. 1-22 ◽  
Author(s):  
Mashitah Che Razali ◽  
Norhaliza Abdul Wahab ◽  
P. Balaguer ◽  
M. F. Rahmat ◽  
Sharatul Izah Samsudin
Keyword(s):  
Perturbation Method ◽  
Pid Controller ◽  
Closed Loop ◽  
Controller Design ◽  
Control Strategies ◽  
High Reliability ◽  
Treatment Plant ◽  
Computation Time ◽  
Singularly Perturbed ◽  
Singularly Perturbation

Proportional integral derivative (PID) controllers are commonly used in process industries due to their simple structure and high reliability. Efficient tuning is one of the relevant issues of PID controller type. The tuning process always becomes a challenging matter especially for multivariable system and to obtain the best control tuning for different time scales system. This motivates the use of singularly perturbation method into the multivariable PID (MPID) controller designs. In this work, wastewater treatment plant and Newell and Lee evaporator were considered as system case studies. Four MPID control strategies, Davison, Penttinen-Koivo, Maciejowski, and Combined methods, were applied into the systems. The singularly perturbation method based on Naidu and Jian Niu algorithms was applied into MPID control design. It was found that the singularly perturbed system obtained by Naidu method was able to maintain the system characteristic and hence was applied into the design of MPID controllers. The closed loop performance and process interactions were analyzed. It is observed that less computation time is required for singularly perturbed MPID controller compared to the conventional MPID controller. The closed loop performance shows good transient responses, low steady state error, and less process interaction when using singularly perturbed MPID controller.

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