Fault-Tolerant Control of Linear Quantum Stochastic Systems

Abstract

In quantum engineering, faults may occur in a quantum control system, which will cause the quantum control system unstable or deteriorate other relevant performance of the system. This note presents an estimator-based fault-tolerant control design approach for a class of linear quantum stochastic systems subject to fault signals. In this approach, the fault signals and some commutative components of the quantum system observables are estimated, and a fault-tolerant controller is designed to compensate the effect of the fault signals. Numerical procedures are developed for controller design and an example is presented to demonstrate the proposed design approach.Index Terms-Linear quantum stochastic system, quantum control, fault-tolerant control.

Reverse-Order Multi-Objective Evolution Algorithm for Multi-Objective Observer-Based Fault-Tolerant Control of T-S Fuzzy Systems

“…For the convenience of estimating x(t) and f a (t), f s (t) simultaneously, the dynamic smoothed model of fault signals in (5) and (6) could be embedded as an internal model of T-S fuzzy system in (2) as the following augmented system:…”

“…Remark 2. The physical meaning of the conditions in (11) and 12is that the fault state f a (t) of dynamic smoothed model in (5) and fault state f s (t) of dynamic smoothed model in (6) are all observable.…”

“…To efficiently estimate the actuator fault signal f a (t) in (42), the 3-th order smoothed signal model is chosen with the extrapolation coefficients α 0 = 0.6, α 1 = 0.2, α 2 = 0.1, and α 3 = 0.1 of A fa in (5). Also, the 3-th order smoothed signal model for sensor fault signal is chosen with the extrapolation coefficients β 0 = 0.6, β 1 = 0.2, β 2 = 0.15, and β 3 = 0.05 of A f s in (6).…”

“…To attenuate the high-frequency variation effect from the actuator, the FTC is applied for attitude control of the satellite in [4]. In [5], the FTC control was used to stabilize the linear quantum system with the consideration of random voltage fluctuations. In [6], the operator theory-based faulttolerant control was applied to MIMO microreactor.…”

Filtering for a Class of Quantum Systems With Classical Stochastic Disturbances

“…Recently, quantum filtering theory has been successfully applied in experimental designs such as trapped ions (Hume et al, 2007), cavity QED systems (Sayrin et al, 2011), and optomechanical systems (Wieczorek et al, 2015). In practice, physical quantum systems are unavoidably affected by classical signals (Ralph et al, 2011;Wang and Dong, 2016), and a number of researchers are becoming interested in the filtering problem for 'hybrid' quantum-classical systems where the quantum systems are subject to a classical process. Relevant results can be found in e.g., Tsang's work on quantum smooth-⋆ This work was supported by the Australian Research Council's Discovery Projects funding scheme under Project DP130101658 and Laureate Fellowship FL110100020.…”