Balanced realization for state-space identification and optimal output regulation

AIChE Journal ◽  
1995 ◽  
Vol 41 (5) ◽  
pp. 1217-1228
Author(s):  
W. Fred Ramirez ◽  
Jan M. Maciejowski
Keyword(s):  
State Space ◽  
Output Regulation ◽  
Balanced Realization ◽  
Optimal Output

scholarly journals Robust and Optimal Output-Feedback Control for Interval State-Space Model: Application to a Two-Degrees-of-Freedom Piezoelectric Tube Actuator

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Mounir Hammouche ◽  
Philippe Lutz ◽  
Micky Rakotondrabe
Keyword(s):  
State Space ◽  
Output Feedback ◽  
Degrees Of Freedom ◽  
Closed Loop ◽  
State Space Model ◽  
Output Feedback Control ◽  
Optimal Solution ◽  
Loop System ◽  
Closed Loop System ◽  
Optimal Output

The problem of robust and optimal output feedback design for interval state-space systems is addressed in this paper. Indeed, an algorithm based on set inversion via interval analysis (SIVIA) combined with interval eigenvalues computation and eigenvalues clustering techniques is proposed to seek for a set of robust gains. This recursive SIVIA-based algorithm allows to approximate with subpaving the set solutions [K] that satisfy the inclusion of the eigenvalues of the closed-loop system in a desired region in the complex plane. Moreover, the LQ tracker design is employed to find from the set solutions [K] the optimal solution that minimizes the inputs/outputs energy and ensures the best behaviors of the closed-loop system. Finally, the effectiveness of the algorithm is illustrated by a real experimentation on a piezoelectric tube actuator.

On optimal output regulation for linear systems

2003 ◽  
Vol 76 (4) ◽  
pp. 319-333 ◽  
Author(s):  
Ali Saberi ◽  
Anton A. Stoorvogel ◽  
Peddapullaiah Sannuti ◽  
Guoyong Shi
Keyword(s):  
Linear Systems ◽  
Output Regulation ◽  
Optimal Output
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