Education

1991      Ph.D in Mathematics, University of California at Davis

1985      M.Sc. in Mathematics, Nankai University, Tianjin, China

1982      B.Sc. in Mathematics, Nankai University, Tianjin, China

Academic Positions

1994 - present   Assistant, Associate, and Full Professor of Applied Mathematics, Naval Postgraduate School

1991 - 1994      Visiting Assistant Professor of Systems Science and Mathematics, Washington University

Has held visiting positions at: University of California at Davis, AFRL at Wright Patterson AFB, Intel Corporation, and Université de Reims.

Research Interests

Computational methods for control systems, nonlinear optimal control, normal forms of control systems, bifurcations and control,

nonlinear estimation and observer design, engineering and industrial applications.

Awards

• IEEE Fellow, 2008.
• Recipient of the Carl E. and Jessie W. Menneken Faculty Award, NPS Foundation, 2003.
• Recipient of the Best Paper Award of the 6th International Conference on Control, Automation, Robotics and Vision, Singapore, December 6-8, 2000.
• Department of Mathematics recipient of the NPS Outstanding Research Achievement Award, 1996 and 2000.
• Department of Mathematics recipient of the UC Davis Graduate Student Scholarship, 1991.

Professional Activities

• Associate Editor, IEEE Transactions on Automatic Control, 2001-2004.
• Associate Editor, Automatica, since 2005.
• Associate Editor, Journal of Control Theory and Applications, since 2004.
• IFAC Technical Committee on Non-Linear Control Systems, since 2006.

Selected Presentations

    Plenary and Keynote Speeches

• Plenary speaker, SIAM Conference on Control and Its Applications, San Francisco, June 29-July 1, 2007.
• Plenary Speaker, The 1st IFAC Conference on Analysis and Control of Chaotic Systems, Reims, France, June 28-30, 2006.
• Keynote Speaker, The 3rd NCN Workshop on Dynamics, Bifurcation and Control, Kloster Irsee, Germany, April 1-3, 2001.

    Invited Presentations

• Invited Speaker, Intel High Volume Manufacturing Research Committee Speaker Series, October 21, 2004, and April 22, 2005.
• Invited Speaker, Intel Knowledge Connection Speaker Series, January 31, 2004.
• Invited Speaker, International Summer School in Automatic Control, Lille, France, September 8  -  12, 2003.
• Invited Speaker, 2nd International Summer School, Topics in Nonlinear Dynamics, Siena, Italy, July 9-11, 2003.

Active Research Projects

• AFOSR, 2006-2008, Co-PI, Pseudospectral Methods for Optimal Control and Estimation with
  Applications to Space Systems.
• TRADOC-ARO, 2006-2008, PI, Sensor to Commander Metrics.
• AFRL/NPS Initiative, 2007, Co-PI, Bohr-Frozen Formations For Multi-Satellite Systems.

Book

• W. Kang, M. Xiao and C. Borges (eds.) New Trends in Nonlinear Dynamics and Control, and Their Applications, Springer, 2003.

Selected Papers

• W. Kang, On the structure of Weyl groups of real semi-simple Lie algebras, Annual  Math. (Chinese), 4 ( 1988 ), 397 - 408.
• Z. Hou and W. Kang, On the structure of the Cartan groups of real semi-simple Lie algebras, SEA Bull. Math., 15 (1991), 25-32.
• W. Kang and A. J. Krener, The observation of a rigid body from measurements of a principle axis, J. of Mathematical Systems, Estimation and Control, 2 (1991), 197-207.
• W. Kang and A. J. Krener, Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems, SIAM J.  Control and Optimization, 30 (1992), 1319-1337.
• W. Kang, Approximate Linearization of Nonlinear Control Systems, Systems and Control Letters, 23 (1994), 43-52.
• A. Isidori and W. Kang, H-infinity control via measurement feedback for general nonlinear systems, IEEE Trans. Automat. Contr., 40 (1995), 466-472.
• W. Kang, Nonlinear H-infinity control and its application to rigid spacecraft, IEEE Trans. Automat. Contr., 40 (1995), 1281-1285.
• W. Kang, Extended controller form and invariants of nonlinear control systems with a single input, J. of Mathematical Systems, Estimation and Control, 6 (1996), 27-51.
• C.I.Byrnes, F.Delli Priscoli, A.Isidori, W.Kang, Structurally stable output regulation of nonlinear systems, Automatica, 33 (1997), 369-385.
• W. Kang and J. Huang, Calculation of the minimal dimension kth-order robust servo-regulator, IEEE Trans. Automat. Contr.,  42 (1997), 382-386.
• W. Kang, Bifurcation and normal form of nonlinear control systems -- part I, SIAM J. Control and Optimization, 36, (1998), 193-212.
• W. Kang, Bifurcation and normal form of nonlinear control systems -- part II, SIAM J. Control and Optimization, 36, (1998), 213-232.
• W. Kang, G. Gu, A. Sparks and S. Banda, Bifurcation test functions and surge control for axial flow compressors, Automatica, 35, (1999), 229-239.
• W. Kang, Bifurcation control via state feedback for systems with a single uncontrollable mode, SIAM J. Control and Optimization, 38, (2000), 1428-1452.
• W. Kang, A. Sparks, S. Banda, Coordinated Control of Multi-Satellite Systems, AIAA J. of Guidance, Control, & Dynamics, Vol. 24, No. 2, (2001), 360-368.
• I. Kaminer, W. Kang, O. Yakimenko, A. M. Pascoal, Application of nonlinear filtering to navigation system design using passive sensors, IEEE trans. on Aerospace and Electronic Systems, Vol. 37, (2001), 158-172.
• W. Kang and F. A. Papoulias, Bifurcation and Control of Submersible Vehicles with Dive Plane Reversal, Latin American Applied Research-An International Journal, Vol. 31, (2001), 141-148.
• W. Kang and H. -H. Yeh, Coordinated Attitude Control of Multi-Satellite Systems, International Journal of Robust and Nonlinear Control, Vol. 12, (2002), 185-205.
• B. Hamzi and W. Kang, Resonant Terms and Bifurcations of Nonlinear Control Systems with One Uncontrollable Mode, Systems and Control Letters, Vol. 49 (4), 2003, pp. 267-278
• W. Kang, M. Xiao, and I. Tall, Controllability and Local Accessibility - A Normal Form Approach, IEEE Trans. on Automat. Contr., Vol. 48, No. 10, (2003), pp1724-1736.
• A. J. Krener and W. Kang, Locally Convergent Nonlinear Observers, SIAM J. on Control and Optimization, SIAM J. Control Optim., Vol. 42, No. 1, pp. 155-177, 2003.
• B. Hamzi, W. Kang and J.-P. Barbot, Analysis and Control of Hopf Bifurcations, SIAM J. on Control and Optimization, Vol. 42, No. 6, pp. 2200-2220, 2004.
• A. J. Krener, W. Kang and D. Chang, Control Bifurcations, IEEE Trans. on Automat. Contr., Vol. 49, pp1231-1246, 2004.
• W. Kang, N. Xi, J. Tan and Y. Wang, Formation Control of Multiple Autonomous Robots: Theory and Experimentation, Intelligent Automation And Soft Computing, Volume 10. No. 2, 2004, pp. 1-17.
• B. Hamzi, W. Kang and A. J. Krener, The Controlled Center Dynamics, SIAM J. Multiscale Modeling & Simulation, Vol. 3, No. 4, 2005, pp838-852.
• W. Kang, M. Song, and N. Xi, Bifurcation Control, Manufacturing Planning, and Formation Control, ACTA Automatica SINICA, Vol. 31, No. 1, 2005, pp. 84-91,
• W. Kang, N. Xi, J. Tan, Y. Zhao, and Y. Wang, Coordinated Formation Control of Multiple Nonlinear Systems, J. Control Theory and Applications, Vol. 3, No. 1, pp. 1-19, 2005.
• W. Kang, Moving Horizon Numerical Observers of Nonlinear Control Systems, IEEE Trans. on Automat. Contr., Vol. 51, No. 2, pp. 344-350, 2006..
• Q. Gong, W. Kang and I. M. Ross, A Pseudospectral Method for the Optimal Control of Constrained Feedback Linearizable Systems, IEEE Transactions on Automatic Control, Vol. 51, No. 7, pp. 1115-1129, 2006.
• B. Hamzi, A. J. Krener, W. Kang, The Controlled Center Dynamics of Discrete Time Control Bifurcations, Systems & Control Letters, Vol. 55, No. 7, 585-596, 2006.
• W. Kang, Q. Gong, and I. M. Ross, On the Convergence of Nonlinear Optimal Control using Pseudospectral Methods for Feedback Linearizable Systems, International Journal of Robust and Nonlinear Control, Vol. 17, 1251-1277, online publication, 3 January, 2007.
• Q. Gong, M. Ross, W. Kang, F. Fahroo, Connections Between the Covector Mapping Theorem and Convergence of Pseudospectral Methods for Optimal Control, Computational Optimization and Applications, online publication, October, 2007.
• Q. Gong, M. I. Ross, and W. Kang, A Pseudospectral Observer for Nonlinear Systems, Journal on Discrete and Continuous Dynamical Systems – Series B, Vol. 8, No. 3, 589-611, 2007.
• J. Mao and W. Kang, Benchmark Study of Run-to-Run Controllers for the Lithographic Control of the Critical Dimension, J. Micro/Nanolith. MEMS MOEMS 6(2), 023001 _Apr–Jun 2007.
• W. Kang, and N. Bedrossian, Pseudospectral Optimal Control Theory Makes Debut Flight - Saves NASA $1M in under 3 hrs, SIAM News, September, 2007.
• H. Zhou, W. Kang, A. J. Krener, H. Wang, Homogeneous flow filed effect on the control of Maxwell materials, J. Non-Newtonian Fluid Mech., 150, 104-115, 2008.
• J. Mao and W. Kang, A three tier cooperative control architecture for multi-step semiconductor manufacturing process, Journal of Process Control, to appear.

Intellectual Property

• J. Mao and W. Kang, Trade Secret, Intel Corp., Documentation No. 41541, 2005.  

Non-technical Article

• W. Kang, C. Borges, and M. Xiao, Symposium on new trends in nonlinear dynamics and control and their applications, IEEE Control System Magazine, pp. 99-100, 2003.