The linear-quadratic optimal regulator for descriptor systems: discrete-time case
Automatica (Journal of IFAC)
Analysis and design of discrete linear control systems
Analysis and design of discrete linear control systems
Computation of structural invariants of generalized state-space systems
Automatica (Journal of IFAC)
Sampled-Data and Discrete-Time $H_2$ Optimal Control
SIAM Journal on Control and Optimization
Robust and optimal control
Computer-controlled systems (3rd ed.)
Computer-controlled systems (3rd ed.)
Optimal Sampled-Data Control Systems
Optimal Sampled-Data Control Systems
Hyperstability of Control Systems
Hyperstability of Control Systems
Linear Optimal Control Systems
Linear Optimal Control Systems
Design of discrete H2-optimal reduced-order controllers
Automation and Remote Control
Novel system inversion algorithm with application to oversampled perfect reconstruction filter banks
IEEE Transactions on Signal Processing
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Singular $$\mathcal{H}$$2-optimization problems are considered for the standard discrete-time control system. Two types of singularity (type I and type II) are distinguished. A detailed treatment of problems with singularity of type II, which leads to nonuniqueness of solution, is presented. New algorithms for design of optimal controllers are presented both in frequency domain and state space, which generalize standard procedures onto the case of singular $$\mathcal{H}$$2-problems. A parameterization of the set of optimal controllers is given.