Discrete time state feedback with setpoint control, actual state observer and load estimation for a tumor growth model

Abstract

Abstract-With the current scientific knowledge, there is no medical device which can handle continuous infusion cancer therapy. Hence, only a quasi continuous infusion therapy can be achieved using discrete drug administration (which can be sufficiently frequent). Therefore, a discrete time control has to be designed for a tumor growth model for real-life application. We designed state feedback control, augmented with setpoint control to follow nonzero reference signal, and also augmented with actual state observer due to the fact that we are unable to measure all states of the system. In addition, the control system contains load estimation as well to investigate the effect of disturbance on the input of the model.

Potential Benefits of Discrete-Time Controller-based Treatments over Protocol-based Cancer Therapies

“…In order to get comparable results with the protocol based therapies, the treatment period was chosen to be 15 days. Parameters of the discrete-time controllers were chosen according to [21]. The operating point of the linearization is x 1 = x 2 =10 mm 3 , the R weighting matrix used in the design of the LQ control is 1.…”

Comparison of protocol based cancer therapies and discrete controller based treatments in the case of endostatin administration

“…15 days. Each discrete controller has the following parameters (which were chosen according to [7]). The operating point, where the original nonlinear system was linearized, is 10 mm 3 .…”

“…Detailed description of the discrete-time controller design can be found in [7]. Here we give a concise summary of the design aspects of the discrete time controller with state feedback, setpoint control, actual state observer and load estimation.…”

“…Delivery of an antiangiogenic drug is not a trivial problem since the biological effectiveness of the treatment highly depends on the applied dosage. Using an empirical method to achieve the biological effective dosage, it is not guaranteed that the optimal therapy will be found; however, using closed-loop control, optimal solution can be realized [7,8].…”