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In this paper we consider an L2 control problem with an L??norm on the closed-loop impulse response. To do this we first construct an upper bound for the L?? norm of the closed-loop system. To perform controller synthesis, we then modify the standard LQG cost functional by including an additional penalty term that weights the L?? norm of the impulse response of the closed-loop system. A numerical...
In certain applications, such as the control of flexible structures, the plant transfer function is known to be psitive real. This property arises if the sensor and actuator are colocated and also dual, for example, force actuator and velocity sensor or torque actuator and angular rate sensor. In practice, the prospects for controlling such systems is quite good since, if sensor and actuator dynamics...
In this paper we consider an L2 control problem with an L∞ norm on the closed-loop impulse response. To do this we first construct an upper bound for the L∞ norm of the closed-loop system. To perform controller synthesis, we then modify the standard LQG cost functional by including an additional penalty term that weights the L∞ norm of the impulse response of the closed-loop system. A numerical example...
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