Posted Dec 1, 1995
Dissipative Control Systems Synthesis with Full State Feedback
By J. W. Helton, S. Yuliar and M. R. James
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(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.
