Separable Control Lyapunov Functions With Application to Prostheses
نویسندگان
چکیده
This letter extends bipedal trajectory tracking methods to prostheses enable construction of a class model-dependent prosthesis controllers using locally available sensor information. The rapidly exponentially stabilizing control Lyapunov functions (RES-CLFs) developed for robots guarantee stability the hybrid zero dynamics in presence impacts that occur walking. These cannot be directly applied because unknown human dynamics. We overcome this challenge with two RES-CLFs, one subsystem and another remaining system. Further, we outline method construct these RES-CLFs type separable system by first constructing CLFs partially feedback linearizable systems. develops rely only on local information but provide formal guarantees full
منابع مشابه
A Contractive Approach to Separable Lyapunov Functions for Monotone Systems
Monotone systems preserve a partial ordering of states along system trajectories and are often amenable to separable Lyapunov functions that are either the sum or the maximum of a collection of functions of a scalar argument. In this paper, we consider constructing separable Lyapunov functions for monotone systems that are also contractive, that is, the distance between any pair of trajectories...
متن کاملH∞ Discrete Time Fuzzy Control with Application to Chaos Control Based on Piecewise Lyapunov Functions
This paper presents an H controller synthesis method for discrete time fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the approach is to design a piecewise linear state feedback control law and use a piecewise smooth Lyapunov function to establish the global stability with H performance of the resulting closed loop fuzzy control systems. It is shown that ...
متن کاملControl Lyapunov Functions :
A control design method for nonlinear systems based on control Lyapunov functions and inverse optimality is analyzed. This method is shown to recover the LQ optimal control when applied to linear systems. More generally, it is shown to recover the optimal control whenever the level sets of the control Lyapunov function match those of the optimal value function. The method can be readily applied...
متن کاملNonsmooth Control-Lyapunov Functions
It is shown that the existence of a continuous controlLyapunov function (CLF) is necessary and sufficient for null asymptotic controllability of nonlinear finitedimensional control systems. The CLF condition is expressed in terms of a concept of generalized derivative that has been studied in set-valued analysis and the theory of differential inclusions with various names such as “upper conting...
متن کاملEconomic MPC of Nonlinear Systems with Non-Monotonic Lyapunov Functions and Its Application to HVAC Control
This paper proposes a Lyapunov-based economic MPC scheme for nonlinear sytems with non-monotonic Lyapunov functions. Relaxed Lyapunov-based constraints are used in the MPC formulation to improve the economic performance. These constraints will enforce a Lyapunov decrease after every few steps. Recursive feasibility and asymptotical convergence to the steady state can be achieved using Lyapunov-...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Control Systems Letters
سال: 2021
ISSN: ['2475-1456']
DOI: https://doi.org/10.1109/lcsys.2020.3004181