On performance induced by feedbacks with multiple saturations
performance induced by feedbacks with multiple saturations
Multi-level saturation feedbacks induce nonlinear disturbance-to-state stability for nonlinear systems in feedforward form. This class of systems includes linear systems with actuator constraints.
A smooth Lyapunov function from a class- estimate involving two positive semidefinite functions
Direct design of robustly asymptotically stabilizing hybrid feedback
A direct construction of a stabilizing hybrid feedback that is robust to general measurement error is given for a general nonlinear control system that is asymptotically controllable to a compact set.
A smooth Lyapunov function from a class- estimate involving two positive semidefinite functions
We consider differential inclusions where a positive semidefinite function of the solutions satisfies a class- estimate in terms of time and a second positive semidefinite function of the initial condition. We show that a smooth converse Lyapunov function, , one whose derivative along solutions can be used to establish the class- estimate, exists if and only if the class- estimate is robust, , it holds for a larger, perturbed differential inclusion. It remains an open question whether all class-...
Generalized solutions to hybrid dynamical systems
Several recent results in the area of robust asymptotic stability of hybrid systems show that the concept of a generalized solution to a hybrid system is suitable for the analysis and design of hybrid control systems. In this paper, we show that such generalized solutions are exactly the solutions that arise when measurement noise in the system is taken into account.
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