In this paper,distributed consensus control is investigated for networks of agents with double integrator dyna...
Lin Peng1,Jia Yingmin1,Du Junping2,Yuan Shiying3 1.The Seventh Research Division,Beihang University (BUAA),Beijing 100083,P.R.China2.Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia,School of Computer Science and Technology,Beijing University of Posts and Telecommunications,Beijing 100876,P.R.China3.School of Electrical and Automation,Henan Polytechnic University,Jiaozuo 454000,Henan,P.R.China
This paper is mainly devoted to the flocking of a class of swarm with fixed topology in a changing environment. Firstly, the controller for each agent is proposed by employing the error terms between the state of the agent and the average state of its neighbors. Secondly, a sufficient condition for the swarm to achieve flocking is presented under assumptions that the gradient of the environment is bounded and the initial position graph is connected. Thirdly, as the environment is a plane, it is further proved that the velocity of each agent finally converges to the velocity of the swarm center although not one agent knows where the center of the group is. Finally, numerical examples are included to illustrate the obtained results.
The property of dichotomy of interconnected second-order pendulum-like systems with multiple equilibria is investigated. This interconnection can be viewed as harmonic control of independent sub-systems. Linear interconnections and a class of input and output interconnections are considered in this paper. The effects of input and output interconnections are shown through a permutation matrix. Frequency domain and linear matrix inequality (LMI) conditions of dichotomy of interconnected pendulum-like systems are derived. It is shown that global properties of two coupled systems can be changed significantly through interconnections. Examples are given to illustrate the results.
LI Xin-BinDUAN Zhi-ShengNIAN Xiao-HongDOU Chun-Xia
This paper presents a robust model reference adaptive control scheme to deal with un-certain time delay in the dynamical model of a ?uidized bed combustor for sewage sludge. Thetheoretical analysis and simulation results show that the proposed scheme can guarantee not onlystability and robustness, but also the adaptive decoupling performance of the system.
The suboptimal control program via memoryless state feedback strategies for LQ differential games with multiple players is studied in this paper. Sufficient conditions for the existence of the suboptimal strategies for LQ differential games are presented. It is shown that the suboptimal strategies of LQ differential games are associated with a coupled algebraic Riccati inequality. Furthermore, the problem of designing suboptimal strategies is considered. A non-convex optimization problem with BMI constrains is formulated to design the suboptimal strategies which minimizes the performance indices of the closed-loop LQ differential games and can be solved by using LMI Toolbox of MATLAB. An example is given to illustrate the proposed results.
For regulating the dynamic nonholonomic mobile cart with parameter uncertainties, a time-varying robust control law is derived to yield globally exponential convergence of cart's position and orientation to the desired set point. The controller design relies on converting the cart's dynamics to an advantageous form, and the robust linear feedback control laws steer the cart's position and orientation errors to zero exponentially. Simulation results show the effectiveness of the proposed control law.
