A graphical technique of controller synthesis with desired closed-loop specifications

2021 ◽  
Author(s):  
Md. Imran Kalim ◽  
Ahmad Ali
Keyword(s):  
Closed Loop ◽  
Controller Synthesis ◽  
Graphical Technique

Controller synthesis with guaranteed closed-loop phase constraints

Automatica ◽  
2008 ◽  
Vol 44 (12) ◽  
pp. 3211-3214 ◽  
Author(s):  
Wassim M. Haddad ◽  
VijaySekhar Chellaboina ◽  
Behnood Gholami
Keyword(s):  
Closed Loop ◽  
Controller Synthesis ◽  
Phase Constraints

H ∞ Closed-Loop Control for Uncertain Discrete Input-Shaped Systems

2010 ◽  
Vol 132 (4) ◽  
Author(s):  
John Stergiopoulos ◽  
Anthony Tzes
Keyword(s):  
Closed Loop ◽  
Open Loop ◽  
Controller Synthesis ◽  
Linear Quadratic ◽  
Robust Controller ◽  
Loop Control ◽  
System A ◽  
Input Shaper ◽  
Uncertain Input ◽  
Plant Simulation

The article addresses the problem of stabilization for uncertain discrete input-shaped systems. The uncertainty affects the autoregressive portion of the transfer function of the system. A discrete input shaper compensator is designed in order to reduce the oscillations of the plant’s response. The input-shaped system’s dynamics are appropriately reformulated for robust controller synthesis, and a robust H∞-controller is used in an outer-loop, in order to guarantee stability of the uncertain input-shaped plant. Simulation results confirm the efficacy of the proposed combined scheme in comparison with open-loop input shaping and closed-loop linear quadratic control.

H∞ Optimal Controller Design With Closed-Loop Positive Real Constraints

2017 ◽  
Vol 139 (9) ◽  
Author(s):  
L. Hewing ◽  
S. Leonhardt ◽  
P. Apkarian ◽  
B. J. E. Misgeld
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Controller Synthesis ◽  
Optimal Controller ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Positive Real ◽  
Promising Tool ◽  
Control Framework ◽  
Real Constraint

Positive real constraints on the closed-loop of linear systems guarantee stable interaction with arbitrary passive environments. Two such methods of H∞ optimal controller synthesis subject to a positive real constraint are presented and demonstrated on numerical examples. The first approach is based on an established multi-objective optimal control framework using linear matrix inequalities and is shown to be overly restrictive and ultimately infeasible. The second method employs a sector transformation to substitute the positive real constraint with an equivalent H∞ constraint. In two examples, this method is shown to be more reliable and displays little change in the achieved H∞ norm compared to the unconstrained design, making it a promising tool for passivity-based controller design.

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