A hybrid system approach is adopted to study the dynamic behaviour of a controlled reverse flow reactor in which a feedback control law dictates the occurrence of flow inversions. Typical behaviour of hybrid systems (Zeno phenomena) are found coexisting with other regimes like limit cycles and quasi-periodic regimes. Construction of impact maps, continuation of limit cycles and detection of loc...

Stabilization of simple mechanical systems in finite time with continuous state feedback is considered here. The dynamics is represented by generalized (local) coordinates. A general methodology to construct control Lyapunov functions that are Hölder continuous and that can be used to show finite-time stability of the feedback controlled system, is presented. This construction also gives the fe...

In this paper we derive two robustly stable model predictive control (MPC) schemes for the class of piecewise linear (PWL) and hybrid systems. We assume that the plant model is subject to unknown but bounded disturbances and the states of the system can be measured or estimated. We derive a piecewise feedback controller based on linear matrix inequalities (LMI) that stabilizes the nominal syste...

We consider the synthesis of optimal controls for continuous feedback systems by recasting the problem to a hybrid optimal control problem which is to synthesize optimal enabling conditions for switching between locations in which the control is constant. We provide a singlepass algorithm to solve the dynamic programming problem that arises, with added constraints to ensure non-Zeno trajectories.

Abstract:In this paper we study the hybrid projective synchronization and chaos control by using Adaptive feedback controllers based on Lyapunov's direct method Especially, the controller can be simplified into a single scalar one to achieve complete synchronization. Numerical simulations are demonstrated to verify the effectiveness of the control strategies

The problem of global robust exponential stabilization of nonholonomic chained systems is addressed and solved by means of a hybrid state feedback control law. It is shown that the control law yields global exponential stability and global robustness against a class of small measurement errors, actuator noises and exogenous disturbances.

in the present paper, the idea of braking energy regeneration and reusing that energy during acceleration for a refuse truck is comprehended. according to their driving cycle, the refuse trucks have a good potential for braking energy regeneration. on the other hand, hydraulic hybrid is a powertrain with high power density which is appropriate for energy regeneration. in the primary stage of th...

In this present note, we formulate a model for hybrid dynamical systems with delay, which covers a large class of delay systems. Under several mild assumptions, we establish sufficient conditions for uniform asymptotic stability of hybrid dynamical systems with delay via Lyapunov–Razumikhin technique. To demonstrate the developed theory, we conduct stability analyzes for delay sampled-data feed...

This paper presents a hybrid dynamic control approach to the realisation of humanoid biped robotic walk, focusing on the policy gradient episodic reinforcement learning with fuzzy evaluative feedback. The proposed structure of controller involves two feedback loops: a conventional computed torque controller and an episodic reinforcement learning controller. The reinforcement learning part inclu...