Linear Quadratic Digital Control of Infinite-Dimensional Systems with UnboundedInput and Output Operators

摘要

The paper studies the Linear Quadratic Control Problem (LQCP) for infinite-dimensional systems with unbounded input and output operators by making use of discrete-time output observation and piece-wise constant controls, obtaining in this way a digital control system. A natural way of computing a stabilizing suboptimal compensator is proposed. Corresponding values of the equivalent discrete-time cost function are estimated with respect to the sampling step and the loss of performance is evaluated. A comparison with the solution of the Discrete-time Linear Quadratic Control Problem (DLQCP) for the discretized system is also done.