Adaptive allpass filtering for nonminimum-phase system identification

1994 ◽  
Vol 141 (6) ◽  
pp. 373 ◽  
Author(s):  
T.J. Lim
Keyword(s):  
System Identification ◽  
Phase System ◽  
Nonminimum Phase

l 1 Controller Design for a High-Order 5-Pool Irrigation Canal System

2003 ◽  
Vol 125 (4) ◽  
pp. 639-645 ◽  
Author(s):  
Pierre-Olivier Malaterre ◽  
Mustafa Khammash
Keyword(s):  
Time Domain ◽  
Controller Design ◽  
Mimo System ◽  
State Space Model ◽  
High Order ◽  
Irrigation Canal ◽  
Phase System ◽  
L1 Norm ◽  
Worst Case ◽  
Nonminimum Phase

The aim of this work is to present an application of recent methods for solving the l1 design problem, based on the Scaled-Q approach, on a high-order, nonminimum phase system. We start by describing the system which is an open-channel hydraulic system (e.g., an irrigation canal). From the discretization and linearization of the set of two partial-derivative equations, a state-space model of the system is generated. This model is a high-order MIMO system (five external perturbations w, five control inputs u, 10 controlled outputs z, five measured outputs y, 65 states x) and is nonminimum phase. A controller is then designed by minimizing the l1 norm of the impulse response of the transfer matrix between the perturbations w and the outputs z. Time-domain constraints are added into the minimization problem in order to force integrators into the controller. The numerical resolution of the problem proved to be efficient, despite of the characteristics of the system. The obtained results are compared in the time-domain to classical PID and LQG controllers on the nonlinear system. The results are good in terms of performance and robustness, in particular for the rejection of the worst-case perturbation.

Nonminimum Phase System and Control Design Applied to MEM Parallel-Plates

2019 ◽  
Vol 23 (2) ◽  
Author(s):  
Karen Alicia Aguilar Cruz ◽  
Romeo Urbieta Parrazales ◽  
José de Jesús Medel Juárez
Keyword(s):  
Control Design ◽  
Phase System ◽  
Parallel Plates ◽  
Nonminimum Phase ◽  
And Control
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