Posted Dec 1, 1995

Dissipative Control Systems Synthesis with Full State Feedback

By J. W. Helton, S. Yuliar and M. R. James

Dowload Postscript File (43 pages)
This paper concerns a general dissipative control problem for nonlinear systems with full state feedback. This problem includes positive real control and H control problems as special cases. The paper shows that the solution to the control problem is equivalent to the existence of a type of solution to a partial differential inequality (nonlinear systems case) or an algebraic Riccati inequality (linear systems case) and stability results are obtained under appropriate detectability assumptions. That is the main pursuit of the paper. In addition, we obtain a local smooth solution to the PDI based on the solution for the linearized systems. Finally, we consider an application of the results to a robust stabilization problem.

Paper Index Previous Paper Next Paper Collaborators Home