Lipschitz continuity of inner-outer factorization
Systems & Control Letters
Robust and optimal control
Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates
SIAM Journal on Control and Optimization
H2 regulation performance limitations for SIMO linear time-invariant feedback control systems
Automatica (Journal of IFAC)
Fundamental limitations in control over a communication channel
Automatica (Journal of IFAC)
Brief paper: Control system design subject to SNR constraints
Automatica (Journal of IFAC)
Brief paper: Control of LTI plants over erasure channels
Automatica (Journal of IFAC)
On Optimal Perfect Reconstruction Feedback Quantizers
IEEE Transactions on Signal Processing - Part II
IEEE Transactions on Information Theory
| Hi-index | 22.14 |
This paper studies control problems for discrete-time single-input linear time-invariant plants when controlled over a signal-to-noise ratio (SNR) constrained channel. Our focus is on the performance limitations in an architecture that uses channel feedback. We explicitly characterize the interplay between stabilization, optimal performance, and SNR constraints, highlighting the way in which plant dynamical features affect the best achievable performance. We also apply our results to the study of networked control systems where communication takes place over a power constrained erasure channel. In that scenario, we first show that stabilization problems, and problems involving stationary second-order moments, can be dealt with by focusing on a related SNR constrained networked situation. This observation allows one to obtain results valid in the alternative scenario as corollaries of the results obtained when a single SNR constraint is present.