Finite Horizon H∞ Control for a Class of Linear Quantum Sampled-Data Measurement Systems: A Dynamic Game Approach ?
نویسندگان
چکیده
In this paper, the finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of sampled-data measurements. The methodology adopted involves a certain equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, by solving the finite horizon H∞ control problem for the equivalent stochastic problem using some results from a corresponding deterministic problem following a dynamic game approach, the finite horizon H∞ control problem for the class of linear quantum systems under consideration is solved for the case of sampled-data measurements.
منابع مشابه
Finite Horizon H∞ Control for a Class of Linear Quantum Systems: A Dynamic Game Approach
In this paper, the finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, by solving the finite horizon H∞ control problem for the equivalent stochastic problem using results from a corresponding deterministic ...
متن کاملFinite Horizon H Control for a Class of Linear Quantum Measurement Delayed Systems: A Dynamic Game Approach
Abstract—In this paper, a finite horizon H∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of delayed measurements. The methodology adopted involves an equivalence between the quantum problem and an auxiliary classical stochastic problem. Then, the finite horizon H∞ control problem for the class of linear quantum systems under consider...
متن کاملReceding Horizon Neural H∞ Control for a Class of Nonlinear Unknown Systems
In this paper, we present new RHNHC (Receding Horizon Neural H∞ Control) for nonlinear unknown systems. First, we propose LMI (Linear Matrix Inequality) condition on the terminal weighting matrix for stabilizing RHNHC. Under this condition, noninceasing monotonicity of the saddle point value of the finite horizon dynamic game is shown to be guaranteed. Then, we propose RHNHC for nonlinear unkno...
متن کاملOptimal Finite-time Control of Positive Linear Discrete-time Systems
This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...
متن کاملSolving infinite horizon optimal control problems of nonlinear interconnected large-scale dynamic systems via a Haar wavelet collocation scheme
We consider an approximation scheme using Haar wavelets for solving a class of infinite horizon optimal control problems (OCP's) of nonlinear interconnected large-scale dynamic systems. A computational method based on Haar wavelets in the time-domain is proposed for solving the optimal control problem. Haar wavelets integral operational matrix and direct collocation method are utilized to find ...
متن کامل