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Conference Program of WCICA 2012

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<strong>WCICA</strong> <strong>2012</strong><br />

Book <strong>of</strong> Abstracts: Sunday Sessions<br />

Zhang, Jingmei<br />

Southeast Univ.<br />

In this paper, the problem <strong>of</strong> global asymptotic stability <strong>of</strong> a class <strong>of</strong><br />

uncertain nonlinear system with input constraint is considered. And by<br />

using the development <strong>of</strong> the adding a power integrator technique, an<br />

auxiliary design system is used to analysis the effect <strong>of</strong> the input constraint.<br />

In addition, physics constraints <strong>of</strong> virtual control laws are also<br />

considered when pi¿1. Finally, simulations are listed to illustrate the<br />

effectiveness <strong>of</strong> the proposed result.<br />

◮ SuB01-6 17:30–17:50<br />

On Non-Lyapunov Stability <strong>of</strong> Linear Discrete Time Delay Systems:<br />

LMIs Approach, pp.1535–1540<br />

Debeljkovic, Dragutin Univ. <strong>of</strong> Belgrade, School <strong>of</strong> Mechanical<br />

Engineering<br />

Stojanovic, Sreten<br />

Dimitrijevic, Nebojsa<br />

Popov, Dejan<br />

Univ. <strong>of</strong> Nis, Faculty <strong>of</strong> Tech.<br />

Univ. <strong>of</strong> Belgrade, Faculty <strong>of</strong> Mechanical Eng<br />

Univ. <strong>of</strong> Belgrade, School <strong>of</strong> Mechanical<br />

Engineering<br />

This paper gives new contributions to the area <strong>of</strong> non-Lyapunov (finite<br />

time stability, technical stability, practical stability, final stability) for the<br />

particular class <strong>of</strong> linear discrete time delay systems. The idea <strong>of</strong> attractive<br />

practical stability is introduced for the first time. Moreover, based<br />

on the matrix inequalities and Lyapunov-like functions, some new sufficient<br />

conditions under which the linear discrete time delay system is<br />

finite time stable are given. Finally, an example is employed to verify<br />

the efficiency <strong>of</strong> the proposed Theorems as well as to show that results<br />

derived upon LMIs are less restrictive than those based on a classical<br />

approach. To the best knowledge <strong>of</strong> authors, such results have not<br />

been reported yet.<br />

SuB02 15:50–17:50 Room 203B<br />

Multi-Agent Systems (II)<br />

Chair: Thunberg, Johan<br />

Co-Chair: Wang, Hanlei<br />

Optimization & Sys. theory<br />

Beijing Inst. <strong>of</strong> Control Engineering<br />

◮ SuB02-1 15:50–16:10<br />

Passivity Based Synchronization <strong>of</strong> Multiple Robotic Agents with Uncertain<br />

Kinematics and Dynamics, pp.846–851<br />

Wang, Hanlei<br />

Beijing Inst. <strong>of</strong> Control Engineering<br />

This paper studies the synchronization problem <strong>of</strong> networked robotic<br />

systems with uncertain kinematics and dynamics. Passivity <strong>of</strong> the<br />

robotic agents is established through adaptation to both the kinematic<br />

and dynamic uncertainties. This input-output passivation framework<br />

lays the foundation for the inter-coupling inclusion between the robotic<br />

agents, even in the case <strong>of</strong> non-uniform constant communication<br />

delays. An adaptive scheme is proposed to achieve controlled synchronization<br />

<strong>of</strong> the networked robotic systems on strongly connected<br />

graphs. With a weighted Lyapunov-Krasovskii function, we show that<br />

task-space synchronization errors <strong>of</strong> the networked robotic agents converge<br />

to zero. Simulation results are provided to demonstrate the performance<br />

<strong>of</strong> the proposed control schemes.<br />

◮ SuB02-2 16:10–16:30<br />

Exponential synchronization <strong>of</strong> complex dynamical systems with delay<br />

and derivative coupling via impulse, pp.875–880<br />

Zhu, Yakun<br />

Luo, Xiaoyuan<br />

Li, Shaobao<br />

Guan, Xinping<br />

Yanshan Univ.<br />

Yanshan Univ.<br />

Yanshan Univ.<br />

Yanshan Univ.<br />

In this paper, the problem <strong>of</strong> impulsive synchronization <strong>of</strong> a kind <strong>of</strong> generalized<br />

complex dynamical systems with delay and derivative coupling<br />

is investigated. Both the communication delay and derivative coupling,<br />

which provide more information about the complex dynamical systems,<br />

are considered. Based on a new Lyapunov function and impulsive<br />

stability technique that is used to play an important role for the synchronization<br />

problem in our research, some new delay-dependent synchronization<br />

criteria are proposed. Furthermore, one can find that the<br />

considered complex systems are suitable to investigate and simulate<br />

realistic complex systems such as networked multi-agent systems. And<br />

numerical simulations for two networked systems with six agents are<br />

shown to illustrate the effectiveness <strong>of</strong> our results.<br />

◮ SuB02-3 16:30–16:50<br />

Consensus Control <strong>of</strong> Networked Nonlinear Systems, pp.914–919<br />

Peng, Junmin<br />

Ye, Xudong<br />

Zhou, Wei<br />

Zhejiang Univ.<br />

Zhejiang Univ.<br />

Zhejiang Univ.<br />

In this paper, we proposed a consensus control for networked nonlinear<br />

systems with disturbance and uncertain parameter. The proposed algorithm<br />

is combined with adaptive compensation <strong>of</strong> unknown disturbance<br />

and output feedback control to achieve consensus, without knowing the<br />

disturbance’s amplitude frequency and phase, as long as the number<br />

<strong>of</strong> different frequencies is known. From the theorem presented in<br />

the paper, we can see the topology condition for achieving consensus<br />

is the same as networked linear systems. A second-order integrated<br />

example is used to illustrate the algorithm. The design procedure is<br />

divided into two step: in step I, we design a consensus control law for<br />

networked virtual agents by Lemma 1; in step II, we use output feedback<br />

control with complete compensation <strong>of</strong> unknown disturbance for<br />

adaptive tracking the virtual agents.<br />

◮ SuB02-4 16:50–17:10<br />

Distributed Attitude Synchronization Control <strong>of</strong> Multi-Agent Systems<br />

with Time-Varying Topologies, pp.946–951<br />

Song, Wenjun Acad. <strong>of</strong> Mathematics & Sys. Sci., Chinese Acad.<br />

<strong>of</strong> Sci.<br />

Thunberg, Johan<br />

Hong, Yiguang<br />

Hu, Xiaoming<br />

Optimization & Sys. theory<br />

Chinese Acad. <strong>of</strong> Sci.<br />

Royal Inst. <strong>of</strong> Tech.<br />

This paper addresses the attitude synchronization problem <strong>of</strong> multiple<br />

rigid body agents in SO(3) with directed and switching interconnection<br />

topologies. Using the axis-angle representation <strong>of</strong> the orientation, a<br />

distributed controller based on differences between the orientations <strong>of</strong><br />

agents in a global frame is proposed. In the case <strong>of</strong> the balanced interconnection<br />

graph, the attitude synchronization is achieved with the<br />

wellknown mild assumption (that is, uniform joint strong connection).<br />

To demonstrate the effectiveness <strong>of</strong> the proposed control scheme, an<br />

illustrative example is provided.<br />

◮ SuB02-5 17:10–17:30<br />

Convergence Analysis for Quantized Consensus <strong>of</strong> Multi-agent Systems<br />

with Directed Topologies, pp.1201–1206<br />

Li, Dequan Anhui Univ. <strong>of</strong> Sci. & Tech.; Shanghai Jiaotong<br />

Univ.<br />

Liu, Qipeng<br />

Wang, Xia<strong>of</strong>an<br />

Shanghai Jiao Tong Univ.<br />

Shanghai Jiaotong Univ.<br />

The available works about quantized average consensus require the<br />

update matrices being doubly stochastic, which amounts to confining<br />

agents to evolve on balanced digraphs with quantized information communication.<br />

By dropping the typical double stochasticity requirement<br />

for the update matrix, we revisit an existing average consensus protocol<br />

based on logarithmic quantization scheme and study the quantized<br />

consensus problem for general directed networks. An upper bound for<br />

the quantization precision parameter is derived to design the suitable<br />

logarithmic quantizer, then based on matrix transformation and Lyapunov<br />

technique, we provide testable condition under which the weighted<br />

average consensus can be achieved with the proposed quantized<br />

protocol. The proposed quantized protocol features little communication<br />

protocol overhead and suits well for directed digital networks.<br />

◮ SuB02-6 17:30–17:50<br />

Distributed Attitude Synchronization Control <strong>of</strong> Multi-Agent Systems<br />

with Directed Topologies, pp.958–963<br />

Thunberg, Johan<br />

Song, Wenjun<br />

Optimization & Sys. theory<br />

Acad. <strong>of</strong> Mathematics & Sys. Sci., Chinese Acad.<br />

<strong>of</strong> Sci.<br />

215

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