Bézier control points method to solve constrained quadratic optimal control of time varying linear systems. (English) Zbl 1259.49053

Ghomanjani, F.; Farahi, M. H.; Gachpazan, M.

Comput. Appl. Math. 31, No. 3, 433-456 (2012).

Summary: A computational method based on Bézier control points is presented to solve optimal control problems governed by time varying linear dynamical systems subject to terminal state equality constraints and state inequality constraints. The method approximates each of the system state variables and each of the control variables by a Bézier curve of unknown control points. The new approximated problem is converted to a quadratic programming problem which can be solved more easily than the original problem. Some examples are given to verify the efficiency and reliability of the proposed method.

MSC:

49N10	Linear-quadratic optimal control problems
49K15	Optimality conditions for problems involving ordinary differential equations
90C20	Quadratic programming

Keywords:

Bézier control points; constrained optimal control; linear time varying dynamical systems

Software:

cdd