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sinopseV3n3.pdf - FEEC - Unicamp

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Abstract: Nonlinear systems with norm bounded time-varying<br />

uncertainties are investigated in this work. Conditions for<br />

robust stability in the form of linear matrix inequalities for<br />

designing robust control gain state feedback that the same time<br />

stabilizes the system and maximizes the limit of uncertainty of<br />

the non-linear term are established based on quadratic<br />

Lyapunov functions and an procedure here propoded. The<br />

conditions obtained are extended to a model of decentralized<br />

control. Numerical examples are presented and compared with<br />

results from the literature, highlighting the advantages of the<br />

proposed methodology.<br />

Keywords: Robust Control, Linear Matrix Inequalities,<br />

Decentralized Robust Control, Robust Stabilization<br />

Controle seletivo com critério H-2 de sistemas<br />

nebulosos Takagi-Sugeno<br />

Eduardo Stockler Tognetti, Pedro Luis Dias Peres, Ricardo<br />

Coracao De Leao F De Oliveira<br />

In: XVIII Congresso Brasileiro de Automática (CBA 2010)-<br />

Antonio Padilha Feltrin(Ed.) - ISBN: 978-85-61507-02-2<br />

SBA - Sociedade Brasileira de Automática – Bonito(MS) -<br />

Brasil Sep-2010 pp:4118-4125<br />

Abstract: This paper presents new results concerning the<br />

design of state feedback controllers for continuoustime Takagi-<br />

Sugeno (T-S) fuzzy systems via fuzzy Lyapunov functions. A<br />

new modeling is proposed to represent the membership<br />

functions of T-S fuzzy systems, with the Cartesian product of<br />

simplexes, called multi-simplex. Linear matrix inequality<br />

relaxations based on homogeneous polynomials matrices are<br />

provided for controller design with an H2 guaranteed cost. The<br />

time-derivatives of the membership functions are modeled as<br />

belonging to a polytope, and the bounds of the variation rate are<br />

taken into account in the model. As one of the main<br />

contributions, the method allows to synthesize control gains<br />

depending only on some premise variables, selected by the<br />

designer. Numerical experiments illustrates the flexibility and<br />

advantages of the proposed method.<br />

Keywords: Takagi-Sugeno fuzzy systems, H2 control,<br />

Continuous-time systems, Linear matrix inequalities.<br />

Controle, sujeito a restrições, de sistemas<br />

lineares discretos com saltos markovianos e<br />

com ruídos multiplicativo e aditivo<br />

Walter Furloni, Jo˜ao Bosco Ribeiro do Val, Alessandro N.<br />

Vargas<br />

In: XVIII Congresso Brasileiro de Automática (CBA 2010)-<br />

Antonio Padilha Feltrin(Ed.) - ISBN: 978-85-61507-02-2<br />

SBA - Sociedade Brasileira de Automática – Bonito(MS) -<br />

Brasil Set-2010 pp:2910-2917<br />

Abstract: The purpose of this article is to present a simple<br />

method to solve the problem of stochastic optimal constrained<br />

control of discrete-time Markov jumps linear systems (MJLS)<br />

with multiplicative and additive noises. Constraints appear on<br />

system state and input control variables in terms of their first<br />

two moments. A simple linear state feedback controller is<br />

considered independently of the Markov state information<br />

availability and it is determined by optimizing a quadratic<br />

performance index. The solution is based on a numeric method<br />

performing a variational search using LMI formulation.<br />

Additionally, it is showed that the proposed methodology may<br />

be applied to solve porfolio dynamic selection problems in<br />

financial area, adding another tool to solve the classic problem<br />

of mean × variance.<br />

Keywords: Markov jump systems, multiplicative noise,<br />

stochastic optimal constrained control, mean × variance<br />

control, linear matrix inequalities<br />

Decomposição de Dantzig-/wolfe para<br />

Problemas com Parâmetros Fuzzy<br />

Jussara Rodrigues Ciappina, Akebo Yamakami<br />

In: XXXIII Congresso Nacional de Matemática Aplicada e<br />

Computacional (CNMAC)<br />

Aguas de Lindoia, SP Set-2010 pp:1-6<br />

Abstract: Este trabalho apresenta uma proposta para resolver<br />

problemas com parâmetros fuzzy baseada no método clássico<br />

de decomposição de Dantzig-Wolfe. Métodos utilizando<br />

técnicas de decomposição tratam problemas que apresentam<br />

uma estrutura especial no conjunto das restrições. Um exemplo<br />

com tal estrutura é o problema de fluxo multiproduto fuzzy. O<br />

algoritmo proposto visa encontrar a solução ótima trabalhando<br />

com o problema na forma fuzzy, durante todo procedimento de<br />

resolução.<br />

Keywords: Fuzzy, Otimização, Decomposição, Fluxo<br />

Multiproduto Fuzzy<br />

Design and experimental validation of a robust<br />

H-2 controller applied to a boost converter<br />

Vinícius Foletto Montagner, Luiz Antonio Maccari Junior,<br />

Ricardo Coracao De Leao F De Oliveira<br />

In: XVIII Congresso Brasileiro de Automática (CBA 2010)-<br />

Antonio Padilha Feltrin(Ed.) - ISBN: 978-85-61507-02-2<br />

SBA - Sociedade Brasileira de Automática – Bonito(MS) -<br />

Brasil Sep-2010 pp:1549-1554<br />

Abstract: This paper proposes the design and experimental<br />

validation of a robust H2 control technique for a boost<br />

converter. The design procedure adopts a linearized model of<br />

the converter affected by time-varying uncertain parameters<br />

with a polytopic structure. Using this model, an optimal H2<br />

state feedback controller (under quadratic stability) is<br />

synthesized through convex optimization based on linear matrix<br />

inequalities. The control gains ensure closed-loop stability and<br />

an H2 guaranteed cost for the entire set of uncertainties and<br />

also for arbitrary parametric variation inside this set. A boost<br />

converter of nominal power equal to 100W is used for the<br />

design of the controller. The input voltage, the operating point<br />

duty cycle and the load are considered as uncertain and<br />

arbitrarily time-varying parameters. The control gains obtained<br />

for this converter produce good simulation and experimental<br />

results. The quality of the results is measured by means of fast<br />

transient responses and small overshoots and undershoots on<br />

the output voltage. The experimental validation prove the<br />

viability of practical application of an H2 robust control<br />

technique for this plant.<br />

Keywords: Boost converter, robust control, optimal<br />

control, convex optimization, linear matrix inequalities.<br />

Evolving Arbitrarily Connected Feedforward<br />

Neural Networks via Genetic Algorithms<br />

Wilfredo Jaime Puma Villanueva, Fernando Jose Von Zuben<br />

In: 11st Brazilian Symposium on Neural Networks - SBRN -<br />

ISBN: 978-0-7695-4210<br />

São Bernardo do Campo-SP Oct-2010 pp:127-132<br />

Abstract: Though several approaches have already been<br />

proposed in the literature to evolve neural network topologies<br />

for solving a wide range of machine learning tasks, this paper<br />

presents an alternative one, capable of evolving arbitrarily<br />

connected feedforward neural networks (ACFNNs), including<br />

linear and nonlinear neurons. A genetic algorithm is conceived<br />

to adjust the topology and also to perform variable selection.<br />

The weights of the obtained neural networks, with arbitrary<br />

topologies, are adjusted using a simple descent gradient<br />

algorithm. The purpose is to obtain high-quality and<br />

parsimonious predictors for two real-world and one synthetic<br />

time series. The obtained results are compared with the ones<br />

produced by traditional MLP models and Mixtures of<br />

Heterogeneous Experts (MHEs).<br />

Keywords: Neural networks, arbitrary architectures,<br />

genetic algorithms<br />

62 Sinopse da <strong>FEEC</strong>

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