Title :
A metric based isomorphic transformation on state variables
Author_Institution :
Coll. of Eng., North Texas Univ., Denton, TX
Abstract :
In this technical note, we will consider an isomorphic metric based transformation for continuous time systems with state variables in Rn. The transformation enables the consideration of a non-quadratic performance criterion on the state and compensator signal based upon a newly formed state space realization. Global asymptotic stability is guaranteed for the compensation structure chosen via a continuity argument on the resulting closed loop state dependent plant matrix. This note is concluded with a simple example, and the results appear encouraging for consideration of general applications
Keywords :
asymptotic stability; closed loop systems; continuous time systems; nonlinear control systems; closed loop state dependent plant matrix; continuous time systems; global asymptotic stability; metric based isomorphic transformation; state variables; Asymptotic stability; Continuous time systems; Control systems; Educational institutions; Nonlinear control systems; Nonlinear systems; Performance gain; State-space methods; USA Councils; Vectors;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1655457
