A game theoretic approach to H∞ control for time-varying systems
SIAM Journal on Control and Optimization
Linear robust control
Robust and optimal control
Robust model-based fault diagnosis for dynamic systems
Robust model-based fault diagnosis for dynamic systems
Optimal robust fault detection for linear discrete time systems
Journal of Control Science and Engineering - Robustness Issues in Fault Diagnosis and Fault Tolerant Control
A time domain approach to robust fault detection of linear time-varying systems
Automatica (Journal of IFAC)
Brief paper: Optimal fault detection for linear discrete time-varying systems
Automatica (Journal of IFAC)
A matrix factorization solution to the H-/H∞ fault detection problem
Automatica (Journal of IFAC)
An LMI approach to minimum sensitivity analysis with application to fault detection
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
The increasing interest in @?"- index in fault detection has led to some recent development in time domain investigation. This paper at first presents a necessary and sufficient condition of the @?"- index in finite time horizon for linear time-varying systems. It is shown that the feasibility of the @?"- index, which is given when the @?"- index is greater than a predefined value, is equivalent to the existence of a certain backward differential Riccati equation under a constraint. The square system as a special case is discussed. The corresponding results are extended to systems with unknown initial condition with a modified definition of the @?"- index. The condition for weighted index to emphasize the signal effect at different time instant is also derived by transformation. The result is also compared with the famous bounded real lemma. The connection with the linear time-invariant (LTI) case is also discussed. Finally, examples are given to illustrate the main results.