Optimal control: linear quadratic methods
Optimal control: linear quadratic methods
Analysis and design of discrete linear control systems
Analysis and design of discrete linear control systems
Multivariable Feedback Design
Linear Optimal Control Systems
Linear Optimal Control Systems
Singular $$\mathcal{H}$$2-optimization problems for discrete-time systems
Automation and Remote Control
Synthesis of discrete controllers of reduced dimension for a distributed servosystem
Automation and Remote Control
Automation and Remote Control
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Consideration was given to the design of discrete dynamic reduced-order controllers minimizing the H2-norm of the transfer matrix of a closed-loop system. The problem of reducing the controller order is related to the solution of the singular problem of filtration (no measurement noise) and control (no control at the controlled output). Using the well-known structures of controllers based on the corresponding minimum-order observers, these problems were shown to be reducible to the solution of two Riccati equations of which one is of a reduced order. Peculiarities of solution that are characteristic of the digital controllers and caused by the allowance for astatism and presence of control delays were examined. An example of an ¿2-optimal reduced-order controller was presented to illustrate the results obtained.