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Finite-Time Functional Observers for Descriptor Systems
Jun-e Feng,James Lam,Shengyuan Xu 제어·로봇·시스템학회 2009 International Journal of Control, Automation, and Vol.7 No.3
This paper deals with the problem of finite-time functional observer design for linear descriptor systems, which converges in finite time exactly. The observer comprises two infinite-time functional observers and a finite delay element. The technique in designing such a class of observers for state-space systems can not be directly applied to deal with the present problem due to the algebraic structure of descriptor systems. A sufficient condition to guarantee the existence of such an observer is obtained in terms of certain rank conditions. Moreover, special cases for state and reduced-order ob-servers are also analyzed. Numerical simulation is used to illustrate the developed method.
On Dimensions of Linear Discrete Dimension-unbounded Systems
Jun-e Feng,Biao Wang,Yongyuan Yu 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.1
This letter investigates the variance of state dimensions of linear discrete dimension-unbounded systems,which are a class of cross-dimensional systems. First, the dimensional relationship of states, initial values andsystem matrices of some special cases is discussed. Then, for the general case, to directly calculate the transitiontime and state dimensions after the transition time, an algorithm is established on the basis of the iterative time,dimensions of initial values and system matrices. Finally, there is an illustrative example to show the effectivenessof these obtained results
Optimal Control Problem of Singular Boolean Control Networks
Min Meng,Jun-e Feng 제어·로봇·시스템학회 2015 International Journal of Control, Automation, and Vol.13 No.2
In this paper, the optimal control problem of singular Boolean control networks is considered via semi-tensor product. Using an analogous needle variation, for multi-input case, a necessary condition for the existence of optimal control is provided based on the algebraic form of singular Boolean control networks, and the result is specialized to the single-input case. Then, an algorithm is presented to calculate an optimal control. Illustrative examples, including the single-input case, are given to show the feasibility of the theoretical results.
Design of Large-scale Boolean Networks Based on Prescribed Attractors
Jinfeng Pan,Jun-e Feng,Min Meng,Jianli Zhao 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.3
In this paper, the problem of designing large-scale Boolean networks with prescribed attractors is considered. The obtained Boolean networks satisfy the attractor constraints, as well as that the size of the basins of attraction (BOAs) of desired attractors is at its maximum. This is achieved by network aggregation, under which desired attractors and undesired attractors can be mapped to input-state cycles in the subnetworks. The input-state cycles corresponding to desired attractors must be contained in subnetworks, and for each undesired attractor at least one input-state cycle is not contained. An algorithm is proposed to maximize the size of the BOAs of desired attractors. Finally, a practical example is given to illustrate the effectiveness of the proposed methods.
A Matrix Approach for the Static Correction Problem of Asynchronous Sequential Machines
Biao Wang,Jun-e Feng 제어·로봇·시스템학회 2020 International Journal of Control, Automation, and Vol.18 No.2
This paper investigates the static correction problem of asynchronous sequential machines (ASMs) via semi-tensor product (STP) of matrices. For an input/state ASM, the static correction problem is to find a static state feedback controller to solve model matching. This controller contains no memory units and consists of only some logic gates. First, by STP method, two algebraic forms are derived to describe the dynamics of an input/state ASM and the function of a static state feedback controller, respectively. Then, as two special cases, the static state feedback controllers for no mismatch and only one mismatch are given. Based on these two cases and analyzing reachability of an ASM, a static state feedback controller design for model matching is presented. Moreover, the number of working points this controller contains is the least. Finally, the proposed method is applied to a simple home security system.
MIS Approach Analyzing the Controllability of Switched Boolean Networks with Higher Order
Lequn Zhang,Jun-e Feng,Min Meng 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.2
Controllability of higher order switched Boolean control networks (SBCNs) is investigated in this paper. Two algebraic forms of higher order SBCNs are derived. A necessary and sufficient condition of controllability for higher order SBCNs is obtained. An algorithm is derived to calculate the corresponding control and switching-law which drive a point to a given reachable point. Then we talk about the compatibility between our main results and other systems. Finally, two illustrative examples are given to show the validity of the main results.