Title :
On verifying the certainty equivalence assumptions in nonlinear ℋ∞ control
Author :
Helton, J.W. ; James, Matthew R.
Author_Institution :
Dept. of Math., California Univ., San Diego, La Jolla, CA, USA
Abstract :
This paper is concerned with the problem of breakdown of certainty equivalence in nonlinear H∞ control. Breakdown can occur in two ways: (i) the maximum of the function pt(z)+V(x) fails to exists, or (ii) the argmax is not unique. Here, pt is the information state or cost to come at time t, and V is the state feedback value function. If the closed-loop system under certainty equivalence control starts off with (i) and (ii) satisfied, it can happen that (i) or (ii) fails at some later time. This paper presents conditions involving the initial information state p0 which prevents (i) from failing
Keywords :
H∞ control; closed loop systems; nonlinear control systems; state feedback; certainty equivalence breakdown; closed-loop system; nonlinear ℋ∞ control; Australia; Control engineering; Control systems; Cost function; Electric breakdown; Nonlinear filters; Optimal control; Riccati equations; State estimation; State feedback;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.761935
