Finite Horizon $H^\infty$ Control for a Class of Linear Quantum Measurement Delayed Systems: A Dynamic Game Approach

2014 ◽  
Vol 52 (3) ◽  
pp. 1787-1808 ◽  
Author(s):  
Aline I. Maalouf ◽  
Ian R. Petersen
Keyword(s):  
Quantum Measurement ◽  
Dynamic Game ◽  
Finite Horizon ◽  
Delayed Systems ◽  
Linear Quantum

scholarly journals Receding HorizonH∞Control for Input-Delayed Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Han Woong Yoo ◽  
Soohee Han ◽  
Young Sam Lee
Keyword(s):  
External Disturbance ◽  
Infinite Horizon ◽  
Dynamic Game ◽  
Game Problem ◽  
Initial Condition ◽  
Performance Bound ◽  
Delayed Systems ◽  
Prediction Horizon ◽  
Quadratic Cost ◽  
Nonzero Initial Condition

We propose the receding horizonH∞control (RHHC) for input-delayed systems. A new cost function for a finite horizon dynamic game problem is first introduced, which includes two terminal weighting terms parameterized by a positive definite matrix, called a terminal weighing matrix. Secondly, the RHHC is obtained from the solution to the finite dynamic game problem. Thirdly, we propose an LMI condition under which the saddle point value satisfies the nonincreasing monotonicity. Finally, we show the asymptotic stability andH∞boundedness of the closed-loop system controlled by the proposed RHHC. The proposed RHHC has a guaranteedH∞performance bound for nonzero external disturbances and the quadratic cost can be improved by adjusting the prediction horizon length for nonzero initial condition and zero disturbance, which is not the case for existing memoryless state-feedback controllers. It is shown through a numerical example that the proposed RHHC is stabilizing and satisfies the infinite horizonH∞performance bound. Furthermore, the performance in terms of the quadratic cost is shown to be improved by adjusting the prediction horizon length when there exists no external disturbance with nonzero initial condition.

Finite-horizon filtering for a class of nonlinear time-delayed systems with an energy harvesting sensor

Automatica ◽  
2019 ◽  
Vol 100 ◽  
pp. 144-152 ◽  
Author(s):  
Bo Shen ◽  
Zidong Wang ◽  
Dong Wang ◽  
Jun Luo ◽  
Huayan Pu ◽  
...  
Keyword(s):  
Energy Harvesting ◽  
Finite Horizon ◽  
Delayed Systems
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