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The consensus problem for multi-agent systems with general linear node dynamics and a fixed directed topology is investigated in this paper. Unlike existing linear multi-agent system models, the information transmission between neighboring agents are assumed to be intermittent in the present framework. To achieve consensus, a new class of distributed protocols are designed. By using tools from matrix...
In this article we consider a class of multi-agent dynamic systems with uncertainties and the problem of moving in a predefined formation along a reference trajectory. The reference trajectory is generated by switched exosystems each of which are neutrally stable and have unknown parameters. The problem is formulated as a nonlinear servomechanism problem and an adaptive internal model based controller...
The paper studies the controllability problem for consensus protocols with leader-following structure and directed information topologies. Some algebraic criteria for controllability are presented based on the eigenvalues of the underlying system information topology laplacian. In addition, the reflections of the system information topology on system controllability are investigated from graph theory.
Power system model is described by graph in this paper. A new judging approach to the network connectivity is proposed, it is based on properties of Laplacian matrix eigenvalues in spectral graph theory, the property is that a network is connected if and only if the second smallest eigenvalue over zero. Note that computation of the spectrum of a matrix has worst-case complexityO(n3), the memory space...
Based on Multi-Agent System the formation air defense simulation system is designed in the framework of HLA. Composed with the features of informational formation air defense, the conception of semi-autonomous/ autonomous, aggregate/platform level Agent is introduced, which improves the fidelity, convenients for hereditability in the application, minifies the cost of design of large-scale distributed...
The stochastic stabilization problem for a class of discrete-time saturated Markovian jump systems (MJS) subject to partial information of transition probabilities and packet dropouts is addressed in this paper. The considered stochastic packet dropouts are independent and Bernoulli distributed. First, we propose a discrete-time model for MJS with saturating actuator and packet dropouts where an upper...
Evacuation in outdoor environment is of great practical interest due to its significant impact on saving human lives under emergency conditions. Comparing with the large population to evacuate, the number of guides is much smaller. Thus the evacuation policy optimization usually suffers from partial information, partial control, and the pervasive uncertainty in the evacuation process, and is nontrivial...
This paper proposes a discretization scheme and an optimal digital cascaded plus state-feedback controller for Multiple-Input-Multiple-Output (MIMO) continuous-time systems with multiple time delays in both inputs and outputs. Firstly, an equivalent discrete-time model is obtained from the MIMO analog time-delayed system. The equivalent discrete-time model and a partially predetermined digital cascaded...
In the synthesis of an optimal nonblocking supervisor for a discrete-event system (DES), the problem of state explosion is a well-known computational obstacle. This problem can often be managed successfully by the use of state-tree structures (STS) and binary decision diagrams (BDD). Unfortunately BDD control functions may become quite large, and as such difficult to represent and interpret. In some...
In this paper, we investigate supervisory control of networked discrete event systems. Such systems are now widely used in practice. The key feature of a networked discrete event system is communication delays and losses in observation and control. Without addressing communication delays and losses in networked systems, no control will be effective. We propose to use some special observation mappings...
This paper deals with the problem of infinite time linear quadratic differential games for singular systems, including nonzero-sum case and zero-sum case. Considering the admissibility of singular systems, two theorems about the differential games are obtained, which provide the optimal strategies and the optimal cost functions via some coupled equations. Finally, two numerical examples are given...
By using a switching approach, the problem of generating a rectangular periodic orbit from two two-dimensional continuous autonomous systems is considered. By analyzing state trajectory of each planar system, a switching law is designed to generate a periodic orbit by switching between non-periodic planar systems. Numerical examples illustrate the validity of the approach.
This paper deals with optimal control problems for dynamical systems governed by general functional differential inclusions of neutral type with endpoint constraints. First, a sequence of well-posed discrete optimization problems is constructed by developing discrete approximations to neutral functional-differential inclusions. Second, necessary optimality conditions for discrete optimization problems...
A fermentation process is generally defined as a biological process containing the growth of the biomass (bacteria, yeasts) resulting from the consumption of essential substrate supplies (source of carbon, nitrogen, oxygen, etc.). The biomass growth is usually followed by the production of various products from which especially the variety of antibiotics makes the fermentation processes attractive...
An offset-free controller is one that drives controlled outputs to their set-point values at the steady state. In the literature, conditions for offset-free linear model predictive control are given for combined estimator (for both the artificial disturbance and system state), steady-state target calculation, and dynamic controller. In the presence of steady-state target calculation, the framework...
This paper proposes a synthesis approach to output feedback robust model predictive control (RMPC) for systems with both polytopic description and bounded noise. Unlike previous works, we do not utilize the state space model. Hence, there is no requirement for estimating the bounds on the true state. We directly utilize the input-output model. The feedback control law is based on the current output,...
In this paper, we investigate the problem of controller design for positive systems with the use of linear Lyapunov function. We first present an analytical method to compute the exact value of the l1-induced norm. Then, we propose a novel characterization under which discrete positive system is asymptotically stable with a prescribed l1-induced performance. Based on the characterization, a necessary...
The purpose of this communication is to contribute to the development of a new trajectory management capability for an engine-out transportation aircraft. Engine-out is a dramatic situation for flight safety and this study focuses on the design of a management system for emergency trajectories at this special situation. First the gliding characteristics and flying qualities of a transport aircraft...
This paper concerns three genes model of synthetic network that carries out many essential functions in living cell. It is designed network of genes with mutual inhibition and/or activation resulting in triple negative, double negative (i.e. positive feedback) or classical negative feedback or positive feedback. Mathematical model which describes these networks is nonlinear. Approximating two main...
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