Optimal control of a servo derived from nonquadratic performance criteria
- 1 August 1969
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 14 (4) , 404-407
- https://doi.org/10.1109/tac.1969.1099200
Abstract
Optimal control theory is applied to a serve problem described by linear plant dynamics and a nonquadratic performance index. The performance index consists of the sum of positive semidefinite homogeneous multinomial forms of the error between plant states and a given input. It is shown that by adding conveniently chosen higher multinomial forms to the performance index, the optimal control law can be obtained in closed-form as a nonlinear function of the error between the controllable states and the input vector.Keywords
This publication has 2 references indexed in Scilit:
- Application of optimal control to perfect model followingJournal of Aircraft, 1970
- Optimal nonlinear feedback control derived from quartic and higher-order performance criteriaIEEE Transactions on Automatic Control, 1966