A Nonlinear H-Infinity Control Approach for Three-Phase Voltage Inverters

2017 ◽  
Vol 3 (2) ◽  
pp. 129-142
Author(s):  
G. Rigatos ◽  
P. Siano ◽  
P. Wira ◽  
K. Busawon ◽  
R. Binns
Keyword(s):  
Phase Voltage ◽  
H Infinity ◽  
Control Approach ◽  
Three Phase ◽  
H Infinity Control

scholarly journals A Nonlinear H-infinity Control Approach for Autonomous Truck and Trailer Systems

2020 ◽  
Vol 08 (01) ◽  
pp. 49-69 ◽  
Author(s):  
Gerasimos Rigatos ◽  
Pierluigi Siano ◽  
Patrice Wira ◽  
Krishna Busawon ◽  
Richard Binns
Keyword(s):  
Autonomous Vehicles ◽  
Control Method ◽  
Kinematic Model ◽  
Taylor Series Expansion ◽  
Time Instant ◽  
Algebraic Riccati Equation ◽  
Control Loop ◽  
H Infinity ◽  
Control Approach ◽  
H Infinity Control

A nonlinear optimal control method is developed for autonomous truck and trailer systems. Actually, two cases are distinguished: (a) a truck and trailer system that is steered by the front wheels of its truck, (b) an autonomous fire-truck robot that is steered by both the front wheels of its truck and by the rear wheels of its trailer. The kinematic model of the autonomous vehicles undergoes linearization through Taylor series expansion. The linearization is computed at a temporary operating point that is defined at each time instant by the present value of the state vector and the last value of the control inputs vector. The linearization is based on the computation of Jacobian matrices. The modeling error due to approximate linearization is considered to be a perturbation that is compensated by the robustness of the control scheme. For the approximately linearized model of the autonomous vehicles an H-infinity feedback controller is designed. This requires the solution of an algebraic Riccati equation at each iteration of the control algorithm. The stability of the control loop is confirmed through Lyapunov analysis. It is shown that the control loop exhibits the H-infinity tracking performance which implies elevated robustness against modeling errors and external disturbances. Moreover, under moderate conditions the global asymptotic stability of the control loop is proven. Finally, to implement state estimation-based control for the autonomous vehicles, through the processing of a small number of sensor measurements, the H-infinity Kalman Filter is proposed.

scholarly journals A H-infinity Control Approach for Oil Drilling Processes

2013 ◽  
Vol 20 ◽  
pp. 134-139 ◽  
Author(s):  
Muhittin Yilmaz ◽  
Salman Mujeeb ◽  
Naren Reddy Dhansri
Keyword(s):  
H Infinity ◽  
Oil Drilling ◽  
Control Approach ◽  
H Infinity Control

A Nonlinear H-Infinity Control Approach to Stabilization of Distributed Synchronous Generators

2018 ◽  
Vol 12 (3) ◽  
pp. 2654-2663 ◽  
Author(s):  
Gerasimos Rigatos ◽  
Pierluigi Siano ◽  
Alexey Melkikh ◽  
Nikolaos Zervos
Keyword(s):  
Synchronous Generators ◽  
H Infinity ◽  
Control Approach ◽  
H Infinity Control
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