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Yvonne Yaz, Ph.D. - Milwaukee School of Engineering. Milwaukee, WI, US

Yvonne Yaz, Ph.D.

Professor, Program Director | Milwaukee School of Engineering

Milwaukee, WI, UNITED STATES

Dr. Yvonne Yaz's areas of interest include actuarial science and applied mathematics.

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Math teacher explains odds of winning Powerball

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Education, Licensure and Certification (4)

Ph.D.: Mathematics, University of Arkansas 1991

M.S.: Mathematics, Bosphorus University 1984

B.S.: Mathematics, Bosphorus University 1982

B.S.: Electrical Engineering, Bosphorus University 1980

Biography

Dr. Yvonne Yaz has taught at MSOE since 2003. She is currently a professor in the Mathematics Department, and the actuarial science program director, which she helped to establish at the university.

Areas of Expertise (5)

Stochastic

Control Systems

Actuarial Science

Applied Mathematics

Nonlinear Systems

Accomplishments (4)

The Falk Engineering Educator Award

2009

Centenary College Alumni Research Award

2000

Centenary College Faculty Pacesetter Award

1995 and 1997

The John Keese Award for Outstanding Graduate Teaching Assistant

University of Arkansas, 1989

Affiliations (2)

  • Sigma Xi : Member
  • Mathematical Association of America : Member

Social

Media Appearances (2)

Actuarial science students honored for achievements

MSOE News  

2019-05-08

“We are so proud of our students' success on these challenging exams," said Dr. Yvonne Yaz, actuarial science program director. "It is a testament to how we are leading the way and preparing our students for their future careers.”

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Math teacher explains odds of winning Powerball

WISN Milwaukee  

2016-01-13

MSOE Professor Dr. Yvonne Yaz shows how the lottery odds are calculated.

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Event and Speaking Appearances (5)

Discrete-Time Robust Controller Design for a Class of Non-linear Systems with Uncertainties

Proceedings of 52nd IEEE Conference on Decision and Control  Florence, Italy, 2013

Discrete-Time Resilient Controller Design with General Criteria for a Class of Uncertain Non-linear Systems

Proceedings of American Control Conference  Portland, OR, 2014

A Resilient Extended Kalman Filter for Discrete-time Nonlinear Stochastic Systems With Sensor Failures

Proceeddings of 2012 American Control Conference  Montreal, Canada, 2012

Stochastically Resilient Observer Design for a Class of Discrete -Time Nonlinear Systems

Proceedings of the 4th Annual Dynamic Systems and Control Conference  Arlington, VA, 2011

Robust Controller Design with General Criteria for Uncertain Conic Nonlinear Systems with Disturbances

Proceedings of American Control Conference  Washington DC, 2013

Research Grants (5)

Enhancing Mathematics Reform Through a Calculus Lab

Louisiana Board of Regents Support Fund (LEQSF) Grant $10,165

2000 Co-PIs include Dr. Mark Schlatter and Dr. David Thomas

Conference on Decision and Control (IEEE CDC)

NSF Travel Grant $750

2000

Cognitive Science, Computer Science and Mathematics Computer Lab

State of Louisiana Education Quality Support Fund (LEQSF) $18,000

1998 Co-PIs include Dr. Ken Aizawa

Enhancing Mathematics Reform

State of Louisiana Education Quality Support Fund (LEQSF) $32,000

1997 Co-PIs include Dr. D. Thomas

Conference on Decision and Control (IEEE CDC)

NSF Travel Grant $1,000

1991

Selected Publications (5)

H2−H∞ control of discrete-time nonlinear systems using the state-dependent Riccati equation approach

Systems Science & Control Engineering

Wang, X., Yaz, E.E., Schneider, S.C., Yaz, Y.I.

2017 A novel H2−H∞ State-dependent Riccati equation control approach is presented for providing a generalized control framework to discrete-time nonlinear system. By solving a generalized Riccati equation at each time step, the nonlinear state feedback control solution is found to satisfy mixed performance criteria guaranteeing quadratic optimality with inherent stability property in combination with H∞ type of disturbance attenuation. Two numerical techniques to compute the solution of the resulting Riccati equation are presented: The first one is based on finding the steady-state solution of the difference equation at every step and the second one is based on finding the minimum solution of a linear matrix inequality. The effectiveness of the proposed techniques is demonstrated by simulations involving the control of an inverted pendulum on a cart, a benchmark mechanical system.

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H2−H∞ control of continuous-time nonlinear systems using the state-dependent Riccati equation approach

Systems Science & Control Engineering

Wang, X., Yaz, E.E., Schneider, S.C., Yaz, Y.I.

2017 This paper presents a novel state-dependent Riccati equation (SDRE) control approach with the purpose of providing a more effective control design framework for continuous-time nonlinear systems to achieve a mixed nonlinear quadratic regulator and H∞ control performance criteria. By solving the generalized SDRE, the optimal control solution is found to achieve mixed performance objectives guaranteeing nonlinear quadratic optimality with inherent stability property in combination with H∞ type of disturbance reduction. An efficient computational algorithm is given to find the solution to the SDRE. The efficacy of the proposed technique is used to design the control system for inverted pendulum, an under-actuated nonlinear mechanical system.

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Design of mixed H2-dissipative observers with stochastic resilience for discrete-time nonlinear systems

Journal of the Franklin Institute

Jeong, C.S., Yaz, E.E., Yaz, Y.I.

2011 A linear matrix inequality based mixed H2-dissipative type state observer design approach is presented for smooth discrete time nonlinear systems with finite energy disturbances. This observer is designed to maintain H2 type estimation error performance together with either H∞ or a passivity type disturbance reduction performance in case of randomly varying perturbations in its gain. A linear matrix inequality is used at each time instant to find the time-varying gain of the observer. Simulation studies are included to explore the performance in comparison to the extended Kalman filter and a previously proposed constant gain observer counterpart.

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Discrete-Time resilient controller design with General Criteria for a Class of uncertain nonlinear systems

American Control Conference

Feng, F., Yaz, E.E., Schneider, S.C., Yaz, Y.I.

2014 A discrete-time resilient state feedback control scheme is presented to control nonlinear systems with locally conic type of nonlinearities and driven by finite energy disturbances. The resilience property is achieved in the presence of bounded perturbations in the feedback gain. The controller design is also robust as the design process addresses system models containing a higher degree of uncertainty by allowing perturbations in both the system parameters as well as the center and the boundaries of the cone in which the nonlinearity resides. Results are presented for various performance criteria in a unified framework using linear matrix inequalities (LMIs). Illustrative examples are included to demonstrate the efficiency of the proposed approach.

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Discrete-time robust controller design for a class of nonlinear systems with uncertainties

52nd IEEE Conference on Decision and Control

Feng, F., Yaz, E.E., Schneider, S.C., Yaz, Y.I.

2013 A discrete-time robust state feedback scheme is proposed to control a large class of uncertain nonlinear systems with locally conic type nonlinearities and driven by finite energy disturbances using linear matrix inequalities. In order to allow the robust control of systems whose models contain a higher degree of uncertainty, perturbations regarding the center and the boundaries of the cone in which the nonlinearity resides are considered in this work. Results are presented for various performance criteria in a unified design framework. Illustrative examples are included to demonstrate the effectiveness of the proposed methodology.

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