A course of H∞0Econtrol theory
A course of H∞0Econtrol theory
On the computation of the gap metric
Systems & Control Letters
The gap metric for time-varying systems
Systems & Control Letters
H∞ control of linear time-varying systems: a state-space approach
SIAM Journal on Control and Optimization
Robust stability of feedback systems: a geometric approach using the gap metric
SIAM Journal on Control and Optimization
Stabilizability and existence of system representations for discrete-time time-varying systems
SIAM Journal on Control and Optimization
Suboptimal solutions to the time-varying model matching problem
Systems & Control Letters
Robust and optimal control
Robust control theory in Hilbert space
Robust control theory in Hilbert space
Robust Control of Infinite Dimensional Systems: Frequency Domain Methods
Robust Control of Infinite Dimensional Systems: Frequency Domain Methods
Minimum Entropy Control for Time-Varying Systems
Minimum Entropy Control for Time-Varying Systems
Feedback Control Theory
Robust Controller Synthesis for Uncertain Time-Varying Systems
SIAM Journal on Control and Optimization
| Hi-index | 0.00 |
In this paper, we study two robust control problems for possibly infinite dimensional (i.e., systems with an infinite number of states) linear time-varying (LTV) systems using a framework based on a version of the commutant lifting theorem developed for nest algebras. The approach is purely operator theoretic and does not use any state space representation. The two problems studied include the optimal disturbance attenuation and the optimal mixed sensitivity problems for LTV systems. The proposed solutions are given in terms of projections of time-varying multiplication operators. The latter are computed explicitly.