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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 />

Ding, Baocang<br />

Li, Shaoyuan<br />

Xi’an Jiao Tong Univ.<br />

Shanghai Jiao Tong Univ.<br />

In this paper, cellular automata with boundaries are addressed by using<br />

the theories <strong>of</strong> semi-tensor product and Drazin inverse <strong>of</strong> matrices.<br />

For a cellular automaton with boundaries, a dynamical system model is<br />

constructed, then a necessary and sufficient condition for the reversibility<br />

is given, and a concept <strong>of</strong> generalized inverse cellular automaton that<br />

characterizes the local energy conservation is presented. Besides, a<br />

representation for the (generalized) inverse cellular automaton together<br />

with a unified algorithm to calculate it is given. Some examples are<br />

given to illustrate the algorithm.<br />

Shadow prices show the effect, which were caused by variations <strong>of</strong> constrained<br />

boundaries, to optimum value <strong>of</strong> objective function under the<br />

current optimal strategy. In this paper, a LP-MPC form <strong>of</strong> two-layered<br />

predictive control was described, and a constraint tuning strategy based<br />

on shadow price was proposed under this structure. The nature <strong>of</strong> disturbance<br />

can be evaluated according to the history data <strong>of</strong> process,<br />

then, combine with constraint conditions <strong>of</strong> the process, tuning boundaries<br />

will be obtained. The shadow prices for constrained boundaries <strong>of</strong><br />

steady-state target calculation were counted based on solving a linear<br />

programming and its dual problem. Then, the constraint boundaries,<br />

which influence the objective optimum effectively, were handled selectively.<br />

The process will be pushed to allowable operation boundaries,<br />

to increase the economic benefit. Finally, in a practical process, a simulation<br />

example was conducted in order to verify the useful <strong>of</strong> shadow<br />

price to constraint tuning for two-layered predictive control.<br />

◮ SuA07-6 15:10–15:30<br />

Extended robust iterative learning control design for industrial batch<br />

processes with uncertain perturbations, pp.2728–2733<br />

Liu, Tao<br />

Shao, Cheng<br />

Dalian Univ. <strong>of</strong> Tech.<br />

dalian Univ. <strong>of</strong> Tech.<br />

For industrial batch processes subject to uncertain perturbations from<br />

cycle to cycle, a robust iterative learning control (ILC) scheme is proposed<br />

in this paper to realize robust tracking <strong>of</strong> the set-point pr<strong>of</strong>ile<br />

for system operation. An important merit is that only measured output<br />

errors <strong>of</strong> current and previous cycles are used to design a synthetic<br />

ILC controller consisting <strong>of</strong> dynamic output feedback plus feedforward<br />

control, for the convenience <strong>of</strong> implementation. By introducing a slack<br />

variable matrix to construct a less comprehensive two-dimensional (2D)<br />

difference Lyapunov function that guarantees monotonical state energy<br />

decrease in both the time and batchwise directions, sufficient conditions<br />

are established in terms <strong>of</strong> linear matrix inequality (LMI) constraints<br />

for holding robust stability <strong>of</strong> the closed-loop ILC system. By solving<br />

these LMI constraints, the ILC controller is explicitly formulated, together<br />

with an adjustable robust H infinity performance level. An illustrative<br />

example <strong>of</strong> injection molding is given to demonstrate the effectiveness<br />

and merits <strong>of</strong> the proposed ILC design.<br />

◮ SuA07-7 15:30–15:50<br />

Discrete-time Stochastic Iterative Learning Control: A Brief Survey,<br />

pp.2624–2629<br />

Shen, Dong<br />

XIONG, Gang<br />

Inst. <strong>of</strong> Automation, Chinese Acad. <strong>of</strong> Sci.<br />

Inst. <strong>of</strong> Automation,Chinese Acad. <strong>of</strong> Sci.<br />

This note gives a brief survey on discrete-time stochastic iterative learning<br />

control (SILC) from three aspects, namely, SILC for linear system,<br />

nonlinear system and system with other stochastic signal. Two major<br />

approaches, stochastic Kalman filtering approach and stochastic approximation<br />

approach, for SILC are proposed. Some open questions<br />

are also included.<br />

SuA08 13:30–15:30 Room 310<br />

Invited Session: Applications <strong>of</strong> Semi-tensor Product to Control<br />

Chair: Feng, Jun-e<br />

Co-Chair: Lv, Hongli<br />

Shandong Univ.<br />

Shandong Jianzhu Univ.<br />

◮ SuA08-1 13:30–13:50<br />

Generalized Reversibility <strong>of</strong> Cellular Automata with Boundaries,<br />

pp.418–423<br />

Zhang, Kuize<br />

Zhang, Lijun<br />

College <strong>of</strong> Automation, Harbin Engineering Univ.<br />

Harbin Engineering Univ.<br />

◮ SuA08-2 13:50–14:10<br />

Solving a Class <strong>of</strong> Fuzzy Relation Inequalities via Semi-tensor Product,<br />

pp.1465–1470<br />

Fan, Hongbiao<br />

Feng, Jun-e<br />

Zhang, Lequn<br />

Shandong Univ.<br />

Shandong Univ.<br />

Shandong Univ.<br />

The problem <strong>of</strong> solving a class <strong>of</strong> fuzzy relation inequalities (FRIs) is<br />

investigated. First, it is shown that if the FRI is solvable, there is a corresponding<br />

parameter solution set (briefly, PSS). Then the semi-tensor<br />

product <strong>of</strong> matrices is used to convert the logical inequality into its algebraic<br />

form via the vector expression <strong>of</strong> logical variables. Under this<br />

form all the PSS can be obtained. It is proved that all the solutions can<br />

be derived from their corresponding PSS. An example is presented to<br />

demonstrate the effectiveness <strong>of</strong> the algorithm provided in this paper.<br />

◮ SuA08-3 14:10–14:30<br />

Model-Input-State Matrix <strong>of</strong> Switched Boolean Control Networks and Its<br />

Applications, pp.1477–1482<br />

Zhang, Lequn<br />

Feng, Jun-e<br />

Shandong Univ.<br />

Shandong Univ.<br />

The model-input-state matrix <strong>of</strong> a Switched Boolean Control Network<br />

(SBCN) is introduced for the first time. This matrix contains all information<br />

<strong>of</strong> the model-input-state mapping. A necessary and sufficient<br />

condition for the controllability <strong>of</strong> SBCN is obtained. The corresponding<br />

control and switching law which drive a point to a given reachable point<br />

is designed. One sufficient condition for the observability <strong>of</strong> a SBCN is<br />

obtained. Under the assumption <strong>of</strong> controllability, one necessary and<br />

sufficient condition is derived for the observability.<br />

◮ SuA08-4 14:30–14:50<br />

Algebraic method to pseudo-Boolean function and its application in<br />

pseudo-Boolean optimization, pp.2468–2472<br />

Li, Zhiqiang<br />

Song, Jinli<br />

Xiao, Huimin<br />

Henan Univ. <strong>of</strong> Economics & Law<br />

Henan Univ. <strong>of</strong> Economics & Law<br />

Henan Univ. <strong>of</strong> Economics & Law<br />

In this paper, the optimization <strong>of</strong> pseudo-Boolean functions is considered.<br />

Boolean variables are expressed into their vector form. Using<br />

semi-tensor product, the pseudo-Boolean function is expressed as its<br />

normal form and algebraic form. Based on the normal form, we discuss<br />

the optimal approximation problem <strong>of</strong> pseudo-Boolean function.<br />

◮ SuA08-5 14:50–15:10<br />

Model Construction <strong>of</strong> Fuzzy Relation Matrices and Application in Intelligent<br />

Environmental Comfort Systems, pp.2239–2244<br />

Lv, Hongli<br />

Feng, Jun-e<br />

Cheng, Daizhan<br />

Shandong Jianzhu Univ.<br />

Shandong Univ.<br />

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

Using semi-tensor product (STP) <strong>of</strong> matrices, with observed datasets,<br />

this paper proposes a new and more general framework to construct a<br />

matrix-based fuzzy relation structure model for multi-input multi-output<br />

(MIMO) fuzzy control systems. The measured sampling data <strong>of</strong> inputs<br />

and outputs are assumed to be obtained from experiments. Instead <strong>of</strong><br />

building the fuzzy logical rule sets <strong>of</strong> a fuzzy dynamical process, the algebraic<br />

form is constructed directly. The whole designing process can<br />

be realized via matrix expression and algebraic computing. Then this<br />

novel fuzzy controller is applied into a thermal comfort control system<br />

and works well with good controlled performance. The new technique<br />

proposes one general design method to obtain a fuzzy relation matrix<br />

expression <strong>of</strong> multiple variables fuzzy control systems. It is particularly<br />

suitable to design fuzzy controllers <strong>of</strong> non-decomposable multi-output<br />

systems, which is not solvable directly by the traditional decomposed<br />

control design methods.<br />

◮ SuA08-6 15:10–15:30<br />

Reachability and Controllability <strong>of</strong> BCNs Avoiding States Set, pp.2329–<br />

2334<br />

211

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