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

摘要

The Linear Quadratic Control Problem (LQCP) for infinite dimensional systems withunbounded input and output operators as introduced by Pritchard and Salamon is studied by making use of discrete time output observation and piecewise 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 LQCP for the discretized system is also done.