M. P. Nanda Kumar and K. Dheeraj
An Inverse Optimal Control Approach for the Nonlinear System Design Using ANN
944 - 948
2014
8
6
International Journal of Mechanical and Mechatronics Engineering
https://publications.waset.org/pdf/9998456
https://publications.waset.org/vol/90
World Academy of Science, Engineering and Technology
The design of a feedback controller, so as to minimize a given performance criterion, for a general nonlinear dynamical system is difficult; if not impossible. But for a large class of nonlinear dynamical systems, the open loop control that minimizes a performance criterion can be obtained using calculus of variations and Pontryagin&rsquo;s minimum principle. In this paper, the open loop optimal trajectories, that minimizes a given performance measure, is used to train the neural network whose inputs are state variables of nonlinear dynamical systems and the open loop optimal control as the desired output. This trained neural network is used as the feedback controller. In other words, attempts are made here to solve the &ldquo;inverse optimal control problem&rdquo; by using the state and control trajectories that are optimal in an open loop sense.
Open Science Index 90, 2014