Multidimensional Uncertain Optimal Control of Linear Quadratic Models with Jump ?
نویسنده
چکیده
Based on the multidimensional uncertain optimal control problem with jump, in this paper, a kind of special multidimensional uncertain optimal control problem: multidimensional uncertain linear-quadratic (LQ) optimal control problem with jump which has a quadratic objective function for a multidimensional uncertain linear control system with jump is studied. A necessary and sufficient condition for the existence about optimal control is obtained and then, as its application, a factory’s production planning problem is discussed and the optimal production decision is obtained.
منابع مشابه
An uncertain optimal control model with n jumps and application
Optimal control theory is an important branch of modern control theory which has been widely applied in various sciences. Uncertain optimal control is a theory dealing with optimal control problems which are based a new uncertainty theory and differs from the stochastic optimal control based on probability theory and fuzzy optimal control based on fuzzy set theory or credibility theory. As the ...
متن کاملUncertain optimal control of linear quadratic models with jump
Based on the uncertain optimal control with jump, in this paper, we study a special optimal control problem: linear quadratic uncertain optimal control problem with jump which has a quadratic objective functional for a linear uncertain control system with jump. We obtain the necessary and sufficient conditions for the existence of optimal control.
متن کاملOptimal discrete-time control of robot manipulators in repetitive tasks
Optimal discrete-time control of linear systems has been presented already. There are some difficulties to design an optimal discrete-time control of robot manipulator since the robot manipulator is highly nonlinear and uncertain. This paper presents a novel robust optimal discrete-time control of electrically driven robot manipulators for performing repetitive tasks. The robot performs repetit...
متن کاملDiscrete-time repetitive optimal control: Robotic manipulators
This paper proposes a discrete-time repetitive optimal control of electrically driven robotic manipulators using an uncertainty estimator. The proposed control method can be used for performing repetitive motion, which covers many industrial applications of robotic manipulators. This kind of control law is in the class of torque-based control in which the joint torques are generated by permanen...
متن کاملNonlinear State Dynamics, Computational Approximations and Multistage Manufacturing System Application
In this paper, we treat stochastic optimal control problems that are nonlinear in the state, but otherwise are a Linear-Quadratic-Gaussian-Poisson problem in the control (LQGP/U), such that the dynamics are linear in the control with quadratic costs in control. The uncertainty in the environment is modeled by Gaussian noise for continuous background uctuations and discrete random jumps by Pois-...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012