This paper presents an adaptive constraint control approach for Electronic Throttle Control System (ETCS) with asymmetric throttle angle constraints. The method, which is based on barrier Lyapunov function (BLF), designed not only to track the desired but also guarantee no violation An ETC mathematic model complex non-linear system considered and (ABLF) introduced into design of controller. Bas...

This paper analyzes the stability of a direct current microgrid with decentralized switched control using differential-algebraic equations and Lyapunov functions. The controllers regulate voltage, achieve power-sharing condition, guaranty non-Zeno condition. They also fulfill droop-control condition for optimal power dispatch. event either connecting or disconnecting converter is analyzed as ev...

For both discrete-time and continuous-time linear multi-variable control systems, we introduce a concept of control Lyapunov modes associated with a control Lyapunov function in a quadratic form. We prove that the number of unstable control Lyapunov modes is at most equal to the number of input of the system.

In this paper, we propose a fortified boundary control law and an adaptation law for Burgers’ equation with unknown viscosity, where no a priori knowledge of a lower bound on viscosity is needed. This control law is decentralized, i.e., implementable without the need for central computer and wiring. Using the Lyapunov method, we prove that the closed-loop system, including the parameter estimat...

this paper studies the problem of synchronizing a moving agent network by decentralized adaptive control strategy. And, each agent node is assigned nonlinear connections with those of neighboring agents. The moving agent network model exhibits a time-varying topological structure in two dimensional spaces. Base on the Lyapunov stability theory, some criteria for the synchronization are achieved...

This paper proposes a variable structure controller (VS) with sliding sector for a hybrid system. At first, the extremum seeking control algorithm is used to find a Lyapunov function for the hybrid system. In general, a sliding sector is defined as a subset of the state space inside which some norm of state decreases. In the paper, then a sliding sector is designed for each subsystem of the hyb...

This paper focuses on the design of control Lyapunov function for control affine systems to guarantee the stability for the states of interest in a specified region. Without restrictive assumptions found in previous approaches, a min-max optimization problem is formulated to solve for a quadratic Lyapunov function. A derivative-free coordinate search method is employed to optimize a non-differe...

This article addresses the challenge of attitude synchronization a group rigid bodies (considered to be agents) with zero final angular velocity. A collaborative control strategy is proposed tackle this issue, using decentralized consensus within leader-follower scheme, and communication between agents activated by events. The parameterized unit quaternion. law incorporates an event function sp...