Title :
Output-feedback stabilisation with prescribed degree of stability
Author :
Benton, Robert E., Jr. ; Smith, Dirk
Author_Institution :
Dept. of Mech. Eng., Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
The problem of finding a static-output-feedback matrix is restated. The new formulation replaces the solution of a set of inversely-coupled Lyapunov inequalities with the simultaneous solution to an algebraic Riccati inequality and a Lyapunov inequality. An algorithm is developed based on the restated problem. Unlike previous algorithms, the algorithm is non-iterative in linear matrix inequality (LMI) solutions. The algorithm may be used to prescribe a given degree of stability, while keeping the static-output-feedback gain small. Use of the algorithm is demonstrated via two examples
Keywords :
Riccati equations; feedback; matrix algebra; stability; Lyapunov inequality; algebraic Riccati inequality; inversely-coupled Lyapunov inequalities; linear matrix inequality solutions; output-feedback stabilisation; prescribed degree of stability; static-output-feedback gain; static-output-feedback matrix; Algorithm design and analysis; Control systems; Control theory; Eigenvalues and eigenfunctions; Feedback control; Linear matrix inequalities; Mechanical engineering; Riccati equations; Stability; Transportation;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611849
