On the stabilization of nonlinear systems
On the stabilization of nonlinear systems
The so called Q-parametrization theorem for linear systems states that for a stable plant P, a compensator F yields a stable closed loop if and only if \(F=Q(I-PQ)^{-1}\) for some stable Q. In this paper the Q- parametrization theorem is extended to nonlinear systems. After defining strong stabilizability suitably in the nonlinear context it is shown how design of the closed-loop system for a strongly stabilizable nonlinear plant may be carried out by a two-step scheme. Some results concerning the robustness of the stability of the closed loop are also presented.
- University of California, Berkeley United States
nonlinear plant, Stabilization of systems by feedback, Nonlinear systems in control theory, Q-parametrization theorem, Nonlinear ordinary differential equations and systems, strong stabilizability, Input-output approaches in control theory, Synthesis problems
nonlinear plant, Stabilization of systems by feedback, Nonlinear systems in control theory, Q-parametrization theorem, Nonlinear ordinary differential equations and systems, strong stabilizability, Input-output approaches in control theory, Synthesis problems
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