Martin J. Corless
1984 -
Professor
Degrees
B. E., (1st honors), University College, Dublin, Ireland, Mechanical Engineering, 1977
Ph.D., University of California, Berkeley, Mechanical Engineering, 1984
Ph.D., University of California, Berkeley, Mechanical Engineering, 1984
Contact
701 W. Stadium Ave.
West Lafayette, IN 47907-2045
West Lafayette, IN 47907-2045
Interests
Dynamics
Systems
Control
Systems
Control
Awards and Major Appointments
C.T. Sun Research Award, School of Aeronautics and Astronautics, Purdue University, 2011
W.A. Gustafson Teaching Award for outstanding undergraduate teacher in the school of Aeronautics & Astronautics, 2003 & 2009.
W.A. Gustafson Teaching Award for outstanding undergraduate teacher in the school of Aeronautics & Astronautics, 2003 & 2009.
Research Areas
Most of the research is concerned with obtaining tools which are useful in the analysis and control of systems containing significant uncertainty. These uncertainties are characterized deterministically, rather than stochastically. The systems treated can be linear or nonlinear and continuous-time or discrete-time. The major application of the research is in the analysis and control of aerospace and mechanical systems. In these applications, some of the research focuses on the effect of flexible elements.
Publications
Books
Corless, M. J., and Frazho, A. E., Linear Systems and Control: An Operator Perspective, Marcel Dekker, New York, NY, 2003.
Journal Articles
Corless, M. and Shorten, R., "On a Class of Generalized Eigenvalue Problems and Equivalent Eigenvalue Problems that Arise in Systems and Control Theory," Automatica, Vol. 47, No. 3, pp. 431-442, 2011.
Knorn, F., Corless, M., and Shorten, R., "Results in cooperative control and implicit consensus," International Journal of Control, Vol. 84, No. 3, pp. 476-495, 2011.
Açkmeşe, B. and Corless, M., "Observers for Systems with Nonlinearities Satisfying Incremental Quadratic Constraints," Automatica, Vol. 47, No. 7, pp 1339-1348, 2011.
Corless, M. and Shorten, R., “On the Characterization of Strict Positive Realness for General Matrix Transfer Functions," IEEE Transactions on Automatic Control, Vol. 55, No. 8, pp. 1899 – 1904, 2010.
Boniolo, I., Colaneri, P., Bolzern, P, Corless, M. and Shorten, R., “On the Design and Synthesis of Limit Cycles Using Switching Linear Systems,” International Journal of Control, Vol. 83, No. 5, pp. 915–927, 2010.
Readman, M.C., Corless, M., Villegas, C., and Shorten, R., "Adaptive Williams Filters for Active Vehicle Suspensions," Transactions of the Institute of Measurement and Control, Vol. 32, No. 6, pp. 660-676, 2010.
Chiu, J. Corless, M. Solmaz, S. and Shorten, R., "A Methodology for the Design of Robust Rollover Prevention Controllers for Automotive Vehicles Using Differential Braking," International Journal of Vehicle Autonomous Systems, Vol. 8, No. 2-4, pp. 146-170, 2010.
Glielmo, L., and Corless, M., "On Output Feedback Control of Singularly Perturbed Systems," Journal of Applied Mathematics and Computation, Vol. 217, No. 3, pp. 1053-1070, 2010.
Shorten, R., Corless, M., Wulff, K., Klinge, S., and Middleton, R., "Quadratic Stability and Singular SISO Switching Systems," IEEE Transactions on Automatic Control, Vol. 54, No. 11, pp. 2714-2718, 2009.
Knorn, F., Stanojeciv, R., Corless, M., and Shorten, R., "A Framework for Decentralized Feedback Connectivity Control with Application to Sensor Networks," International Journal of Control, Vol. 82, No. 11, pp. 2095-2114, 2009.
Corless, M., King, C. and Shorten, R., "A Result on Second Order Nonlinear Operators Arising in Highspeed Networking Applications," Automatica, Vol. 45, No. 5, pp. 1207-1214, May 2009.
Readman, M.C., Corless, M., Villegas, C., and Shorten, R., "Adaptive Williams Filters for Active Vehicle Suspensions," Transactions of the Institute of Measurement and Control, to appear.
Açıkmeşe, A.B., and Corless, M., "Stability Analysis with Quadratic Lyapunov Functions: Some Necessary and Sufficient Multiplier Conditions," Systems and Control Letters, Vol. 57, No. 1, pp. 78-94, January 2008.
Solmaz, S., Corless, M., and Shorten, R.E., "A Methodology for the Design of Robust Rollover Prevention Controllers for Automotive Vehicles with Active Steering," International Journal of Control, Vol. 80, No. 11, pp. 1763-1779, November 2007.
Corless, M. J., and Frazho, A. E., Linear Systems and Control: An Operator Perspective, Marcel Dekker, New York, NY, 2003.
Journal Articles
Corless, M. and Shorten, R., "On a Class of Generalized Eigenvalue Problems and Equivalent Eigenvalue Problems that Arise in Systems and Control Theory," Automatica, Vol. 47, No. 3, pp. 431-442, 2011.
Knorn, F., Corless, M., and Shorten, R., "Results in cooperative control and implicit consensus," International Journal of Control, Vol. 84, No. 3, pp. 476-495, 2011.
Açkmeşe, B. and Corless, M., "Observers for Systems with Nonlinearities Satisfying Incremental Quadratic Constraints," Automatica, Vol. 47, No. 7, pp 1339-1348, 2011.
Corless, M. and Shorten, R., “On the Characterization of Strict Positive Realness for General Matrix Transfer Functions," IEEE Transactions on Automatic Control, Vol. 55, No. 8, pp. 1899 – 1904, 2010.
Boniolo, I., Colaneri, P., Bolzern, P, Corless, M. and Shorten, R., “On the Design and Synthesis of Limit Cycles Using Switching Linear Systems,” International Journal of Control, Vol. 83, No. 5, pp. 915–927, 2010.
Readman, M.C., Corless, M., Villegas, C., and Shorten, R., "Adaptive Williams Filters for Active Vehicle Suspensions," Transactions of the Institute of Measurement and Control, Vol. 32, No. 6, pp. 660-676, 2010.
Chiu, J. Corless, M. Solmaz, S. and Shorten, R., "A Methodology for the Design of Robust Rollover Prevention Controllers for Automotive Vehicles Using Differential Braking," International Journal of Vehicle Autonomous Systems, Vol. 8, No. 2-4, pp. 146-170, 2010.
Glielmo, L., and Corless, M., "On Output Feedback Control of Singularly Perturbed Systems," Journal of Applied Mathematics and Computation, Vol. 217, No. 3, pp. 1053-1070, 2010.
Shorten, R., Corless, M., Wulff, K., Klinge, S., and Middleton, R., "Quadratic Stability and Singular SISO Switching Systems," IEEE Transactions on Automatic Control, Vol. 54, No. 11, pp. 2714-2718, 2009.
Knorn, F., Stanojeciv, R., Corless, M., and Shorten, R., "A Framework for Decentralized Feedback Connectivity Control with Application to Sensor Networks," International Journal of Control, Vol. 82, No. 11, pp. 2095-2114, 2009.
Corless, M., King, C. and Shorten, R., "A Result on Second Order Nonlinear Operators Arising in Highspeed Networking Applications," Automatica, Vol. 45, No. 5, pp. 1207-1214, May 2009.
Readman, M.C., Corless, M., Villegas, C., and Shorten, R., "Adaptive Williams Filters for Active Vehicle Suspensions," Transactions of the Institute of Measurement and Control, to appear.
Açıkmeşe, A.B., and Corless, M., "Stability Analysis with Quadratic Lyapunov Functions: Some Necessary and Sufficient Multiplier Conditions," Systems and Control Letters, Vol. 57, No. 1, pp. 78-94, January 2008.
Solmaz, S., Corless, M., and Shorten, R.E., "A Methodology for the Design of Robust Rollover Prevention Controllers for Automotive Vehicles with Active Steering," International Journal of Control, Vol. 80, No. 11, pp. 1763-1779, November 2007.
Conference Proceedings, Presentations, Invited Lectures
Villegas, C., Chow, Y.-L., Corless, M., Griggs, W. and Shorten, R. "A decentralized control technique for vehicle chassis control," 50th IEEE Conference on Decision and Control, Orlando, Florida, USA, 2011.
Knorn, F., Corless, M.J., and Shorten, R.N. "A result on implicit consensus with application to emissions control," 50th IEEE Conference on Decision and Control, Orlando, Florida, USA, 2011.
Sajja, S., Solmaz, S., Shorten, R. and Corless, M., “Preservation of common quadratic Lyapunov functions and Pad? Approximations,” 49th IEEE Conference on Decision and Control, Atlanta, Georgia, USA, 2010.
Shorten, R., Corless, M., Middleton, R.H., Klinge, S. and WulFF, K., "A quadratic stability result for singular switched systems with application to anti-windup control, " American Control Conference, St. Louis, Missouri, USA, 2009.
Corless, M. and Shorten, R., "A correct characterization of strict positive realness for MIMO systems," American Control Conference, St. Louis, Missouri, USA, 2009.
Huang, R.C., Hwang, I. and Corless, M., ``A new nonlinear model predictive control algorithm using differential transformation with application to interplanetary low-thrust trajectory tracking," American Control Conference, St. Louis, Missouri, USA, 2009.
Knorn, F., Stanojevic, R., Corless, M. and Shorten, R., ``A problem in positive systems stability arising in topology control," POSTA 09, Valencia, Spain, 2009.
Readman, M. C., Corless, M., Villegas, C. and Shorten, R., ``Adaptive Williams filters with application to suspension control: the vector case," 48th IEEE Conference on Decision and Control, Shanghai, China, December 2009.
Huang, R.C., Hwang, I., and Corless, M., "Application of differential transformation based algorithm to find optimal interplanetary low-thrust transfers," AIAA/AAS Astrodynamics Specialist Conference, Honolulu, Hawaii, 2008, AIAA paper 2008-7364
Readman, M. C., Corless, M., Villegas, C. and Shorten, R., "Self-tuning for disturbance transmission decoupling in active vehicle suspensions," American Control Conference, Seattle, Washington, June 2008.
Readman, M. C., Corless, M., Villegas, C. and Shorten, R., "Adaptive road disturbance decoupling for active suspensions," 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Bremen, Germany, April 2008.
Villegas, C., Corless, M., Shorten, R., Readman, M., and Solmaz, S., "Decentralized control design of lateral and vertical vehicle dynamics using passivity," 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Bremen, Germany, April 2008.
Corless, M., Solmaz, S. and Shorten, R., "Stability and higher order Padé approximations," 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Bremen, Germany, April 2008.
Solmaz, S., Corless, M.J., and Shorten R. "A Methodology for the Design of Robust Rollover Prevention Controllers for Automotive Vehicles: Part 2 - Active Steering," American Control Conference, New York, NY, 2007.
Solmaz, S., Corless, M.J., and Shorten R. "A Methodology for the Design of Robust Rollover Prevention Controllers for Automotive Vehicles: Part 1 - Differential Braking," 45th IEEE Conference on Decision and Control, San Diego, CA, 2006.
Portillo, J.E., Sisco, J.C., Corless, M.J., Sankaran, V., and Anderson, W.E. "Generalized Combustion Instability Model," 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Sacramento, CA, 2006.
Knorn, F., Corless, M.J., and Shorten, R.N. "A result on implicit consensus with application to emissions control," 50th IEEE Conference on Decision and Control, Orlando, Florida, USA, 2011.
Sajja, S., Solmaz, S., Shorten, R. and Corless, M., “Preservation of common quadratic Lyapunov functions and Pad? Approximations,” 49th IEEE Conference on Decision and Control, Atlanta, Georgia, USA, 2010.
Shorten, R., Corless, M., Middleton, R.H., Klinge, S. and WulFF, K., "A quadratic stability result for singular switched systems with application to anti-windup control, " American Control Conference, St. Louis, Missouri, USA, 2009.
Corless, M. and Shorten, R., "A correct characterization of strict positive realness for MIMO systems," American Control Conference, St. Louis, Missouri, USA, 2009.
Huang, R.C., Hwang, I. and Corless, M., ``A new nonlinear model predictive control algorithm using differential transformation with application to interplanetary low-thrust trajectory tracking," American Control Conference, St. Louis, Missouri, USA, 2009.
Knorn, F., Stanojevic, R., Corless, M. and Shorten, R., ``A problem in positive systems stability arising in topology control," POSTA 09, Valencia, Spain, 2009.
Readman, M. C., Corless, M., Villegas, C. and Shorten, R., ``Adaptive Williams filters with application to suspension control: the vector case," 48th IEEE Conference on Decision and Control, Shanghai, China, December 2009.
Huang, R.C., Hwang, I., and Corless, M., "Application of differential transformation based algorithm to find optimal interplanetary low-thrust transfers," AIAA/AAS Astrodynamics Specialist Conference, Honolulu, Hawaii, 2008, AIAA paper 2008-7364
Readman, M. C., Corless, M., Villegas, C. and Shorten, R., "Self-tuning for disturbance transmission decoupling in active vehicle suspensions," American Control Conference, Seattle, Washington, June 2008.
Readman, M. C., Corless, M., Villegas, C. and Shorten, R., "Adaptive road disturbance decoupling for active suspensions," 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Bremen, Germany, April 2008.
Villegas, C., Corless, M., Shorten, R., Readman, M., and Solmaz, S., "Decentralized control design of lateral and vertical vehicle dynamics using passivity," 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Bremen, Germany, April 2008.
Corless, M., Solmaz, S. and Shorten, R., "Stability and higher order Padé approximations," 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Bremen, Germany, April 2008.
Solmaz, S., Corless, M.J., and Shorten R. "A Methodology for the Design of Robust Rollover Prevention Controllers for Automotive Vehicles: Part 2 - Active Steering," American Control Conference, New York, NY, 2007.
Solmaz, S., Corless, M.J., and Shorten R. "A Methodology for the Design of Robust Rollover Prevention Controllers for Automotive Vehicles: Part 1 - Differential Braking," 45th IEEE Conference on Decision and Control, San Diego, CA, 2006.
Portillo, J.E., Sisco, J.C., Corless, M.J., Sankaran, V., and Anderson, W.E. "Generalized Combustion Instability Model," 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Sacramento, CA, 2006.