Title :
Nonlinear algebraic gain equations for the single input linear quadratic regulator
Author :
Barbieri, Enrique
Author_Institution :
Dept. of Electr. Eng., Tulane Univ., New Orleans, LA, USA
Abstract :
The optimal gains of the standard linear quadratic regulator (LQR) solution for single input systems are shown to satisfy a set of nonlinear algebraic equations. The inverse LQR problem is solved first and the set of equations is developed by exploiting the structure of the system when expressed in the phase-canonic form. A numerical example is included
Keywords :
Riccati equations; algebra; linear quadratic control; nonlinear equations; inverse LQR problem; nonlinear algebraic gain equations; phase-canonic form; single input linear quadratic regulator; Control systems; Cost function; Eigenvalues and eigenfunctions; Nonlinear control systems; Nonlinear equations; Optimal control; Polynomials; Regulators; Riccati equations; State feedback;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411189
