Identification and rational L2 approximation: a gradient algorithm
Automatica (Journal of IFAC)
A new algorithm for L2 optimal model reduction
Automatica (Journal of IFAC)
The H2 problem for sampled-data systems m for sampled-data systems
Systems & Control Letters
Multirate systems and filter banks
Multirate systems and filter banks
Optimal H∞ model reduction via linear matrix inequalities: continuous- and discrete-time cases
Systems & Control Letters
Analysis of H2 and H∞ performance of discrete periodically time-varying controllers
Automatica (Journal of IFAC)
Optimal Sampled-Data Control Systems
Optimal Sampled-Data Control Systems
A unified approach to scrambling filter design
IEEE Transactions on Signal Processing
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This paper is concerned with the optimal model reduction for linear discrete periodic time-varying systems and digital filters. Specifically, for a given stable periodic time-varying model, we shall seek a lower order periodic time-varying model to approximate the original model in an optimal H2 norm sense. By orthogonal projections of the original model, we convert the optimal periodic model reduction problem into an unconstrained optimization problem. Two effective algorithms are then developed to solve the optimization problem. The algorithms ensure that the H2 cost decreases monotonically and converges to an optimal (local) solution. Numerical examples are given to demonstrate the computational efficiency of the proposed method. The present paper extends the optimal model reduction for linear time invariant systems to linear periodic discrete time-varying systems.