
doi: 10.1137/0326080
The author considers discrete-time multivariable tuning PI-controllers for exponentially stable distributed parameter systems with an unbounded input/output operator. The analysis of systems with discrete-time controls and observations shows that the input operator may be bounded in case of discrete-time controls, even if the output operator is unbounded for continuous-time controls. The integral feedback matrix, which has the same form as in case of continuous-time control, is determined purely by steady-state information. The heat and beam equation are treated by this theory.
Discrete-time control/observation systems, Control/observation systems governed by partial differential equations, PDE in connection with control problems, Stabilization of systems by feedback, distributed parameter systems, Initial value problems for second-order hyperbolic equations, Rods (beams, columns, shafts, arches, rings, etc.), discrete-time multivariable tuning PI-controllers
Discrete-time control/observation systems, Control/observation systems governed by partial differential equations, PDE in connection with control problems, Stabilization of systems by feedback, distributed parameter systems, Initial value problems for second-order hyperbolic equations, Rods (beams, columns, shafts, arches, rings, etc.), discrete-time multivariable tuning PI-controllers
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