In this paper, we investigate a decentralized formation control algorithm for an undirected formation control model. Unlike other formation control problems where only the shape of a configuration counts, we emphasize here also its Euclidean embedding. By following this decentralized formation control law, the agents will converge to certain equilibrium of the control system. In particular, we ...

In this paper, Gain-Scheduling (GS) control via parameter dependent Lyapunov function for crane is synthesized. A purpose of cranes system is to lift and carry a load to assigned positions. Cranes are required to transport the load fast, accurately and to reduce oscillations. In previous research, a method to robust control of cranes to suppress effects by variation of the rope length have been...

In dealing with a large-scale system, one usually does not have adequate knowledge of the plant parameters and interactions among subsystems. The decentralized adaptive technique, designed independently for local subsystems and using locally available signals for feedback propose, is an appropriate strategy to be employed. In the context of decentralized adaptive control, a number of results ha...

Exact decentralized output-feedback Lyapunov-based designs of direct MRAC for linear interconnected systems with MIMO subsystems are introduced. The design process uses a coordinated decentralized structure of adaptive control with reference model coordination. We develop decentralized MRAC on the base of a priory information about only the local subsystems gain frequency matrices without addit...

The paper introduces novel families of cruise controllers for autonomous vehicles on lane-free ring-roads. design the is based a Control Lyapunov Function methodology with function expressed measures energy system kinetic in ways similar to Newtonian or relativistic mechanics. derived feedback laws (cruise controllers) are decentralized (per vehicle), as each vehicle determines its control inpu...

We develop a constructive decentralized control design procedure for a class of systems that may be loosely described as chained integrators which are dynamically coupled. The design method is inspired by nested saturation control ideas and formulated by applying the singular perturbation theory. We demonstrate that the proposed design provides a Lyapunov function for an associated closed loop ...

In this paper we describe a novel decentralized control strategy to realize formations of mobile robots. We first describe how to design artificial potential fields to obtain a formation with the shape of a regular polygon. We provide a formal proof of the asymptotic stability of the system, based on the definition of a proper Lyapunov function. We also prove that our control strategy is not af...

in this paper, stabilization conditions and controller design for a class of nonlinear systems are proposed. the proposed method is based on the nonlinear feedback, quadratic lyapunov function and heuristic slack matrices definition. these slack matrices in null products are derived using the properties of the system dynamics. based on the lyapunov stability theorem and sum of squares (sos) dec...

This paper presents a decentralized control scheme for the formation control of multiple electrically driven mobile robots based on artificial potential functions and backstepping control method. Backstepping control is used to extend the theoretical potential fields based formation control methods designed for mass-less kinematic agents to the case of fully actuated electrically driven mobile ...

The problem of distributed control of heterogeneous group of vehicles in the environment with obstacles is considered. The control algorithms are based on vehicles kinematics in a two dimensional environment. The proposed algorithms are based on the principle of consideration all neighboring objects as repeller. The proposed method of decentralized group control is based on the simple local con...