A difficult but important problem in optimal control theory is the design of an optimal feedback control, i.e., the design of an optimal control as function of the phase (state) coordinates [1,2]. This problem can be ...A difficult but important problem in optimal control theory is the design of an optimal feedback control, i.e., the design of an optimal control as function of the phase (state) coordinates [1,2]. This problem can be solved not often. We study here the autonomous nonlinear system of second order in general form. The constraints imposed on the control input can depend on the phase (state) coordinates of the system. The goal of the control is to maximize or minimize one phase coordinate of the considered system while other takes a prescribed in advance value. In the literature, optimal control problems for the systems of second order are most frequently associated with driving both phase coordinates to a prescribed in advance state. In this statement of the problem, the optimal control feedback can be designed only for special kind of systems. In our statement of the problem, an optimal control can be designed as function of the state coordinates for more general kind of the systems. The problem of maximization or minimization of the swing amplitude is considered explicitly as an example. Simulation results are presented.展开更多
Active capsule endoscopy is becoming a research hotspot in recent years. We design an active capsule robot (capsubot) with the vibrational mode. The internal force-static friction control strategy which is used in the...Active capsule endoscopy is becoming a research hotspot in recent years. We design an active capsule robot (capsubot) with the vibrational mode. The internal force-static friction control strategy which is used in the capsubot is effective in rigid environment but not in viscoelastic environment. A particular viscoelastic material whose parameters are confirmed is set to the viscoelastic environment. We suppose that it is a periodic damped oscillation system when the capsubot make a free vibration in the environment. We propose a new control strategy whose principle is similar to a swing in the environment. The simulation results show that the new strategy is effective.展开更多
文摘A difficult but important problem in optimal control theory is the design of an optimal feedback control, i.e., the design of an optimal control as function of the phase (state) coordinates [1,2]. This problem can be solved not often. We study here the autonomous nonlinear system of second order in general form. The constraints imposed on the control input can depend on the phase (state) coordinates of the system. The goal of the control is to maximize or minimize one phase coordinate of the considered system while other takes a prescribed in advance value. In the literature, optimal control problems for the systems of second order are most frequently associated with driving both phase coordinates to a prescribed in advance state. In this statement of the problem, the optimal control feedback can be designed only for special kind of systems. In our statement of the problem, an optimal control can be designed as function of the state coordinates for more general kind of the systems. The problem of maximization or minimization of the swing amplitude is considered explicitly as an example. Simulation results are presented.
文摘Active capsule endoscopy is becoming a research hotspot in recent years. We design an active capsule robot (capsubot) with the vibrational mode. The internal force-static friction control strategy which is used in the capsubot is effective in rigid environment but not in viscoelastic environment. A particular viscoelastic material whose parameters are confirmed is set to the viscoelastic environment. We suppose that it is a periodic damped oscillation system when the capsubot make a free vibration in the environment. We propose a new control strategy whose principle is similar to a swing in the environment. The simulation results show that the new strategy is effective.
