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Optimization of active muscle force-length models using least squares curve fitting (2015)
Journal Article
Hou, M., & Mohammed, G. A. (2015). Optimization of active muscle force-length models using least squares curve fitting. IEEE transactions on bio-medical engineering / Bio-medical Engineering Group, 63(3), (630-635). doi:10.1109/TBME.2015.2467169. ISSN 0018-9294

The objective of this paper is to propose an asymmetric Gaussian function as an alternative to the existing active force-length models, and to optimize this model along with several other existing models by using the least squares curve fitting metho... Read More

On natural frequencies and eigenmodes of a linear vibration system (2007)
Journal Article
Müller, P. C., & Hou, M. (2007). On natural frequencies and eigenmodes of a linear vibration system. ZAMM, 87(5), (348-351). doi:10.1002/zamm.200610319. ISSN 0044-2267

For conservative linear chain-structured mass-spring vibration systems with n degrees of freedom, the conjecture of Mikota [1] on the natural frequencies is verified. In addition, the eigenvalue/eigenvector problem of a related square root matrix is... Read More

Estimation of sinusoidal frequencies and amplitudes using adaptive identifier and observer (2007)
Journal Article
Hou, M. (2007). Estimation of sinusoidal frequencies and amplitudes using adaptive identifier and observer. IEEE transactions on automatic control, 52(3), 493-499. doi:10.1109/TAC.2006.890389

A simple method is proposed for estimation of amplitudes of multiple sinusoids. The estimation is based on the existing adaptive identifier which offers the globally convergent estimate of sinusoidal frequencies. To deal with possible singularities o... Read More

Neural observer by coordinate transformation (2005)
Journal Article
Delgado, A., Hou, M., & Kambhampati, C. (2005). Neural observer by coordinate transformation. IEE Proceedings Control Theory and Applications, 152(6), 698-706. doi:10.1049/ip-cta:20045069

Nonlinear control affine systems with maximum relative degree and a class of nonlinear differential equations can be transformed into a state representation known as the normal form. Based on the normal form an observer is designed using neural netwo... Read More

Controllability and elimination of impulsive modes in descriptor systems (2004)
Journal Article
Hou, M. (2004). Controllability and elimination of impulsive modes in descriptor systems. IEEE transactions on automatic control, 49(10), (1723-1729). doi:10.1109/TAC.2004.835392. ISSN 0018-9286

As a refined notion, impulsive-mode controllability is suggested for the general class of linear continuous descriptor systems. This notion reveals rich properties of the general descriptor systems in terms of admissibility of initial conditions, adm... Read More

An observer design for linear time-delay systems (2002)
Journal Article
Zítek, P., Zitek, P., Hou, M., & Patton, R. J. (2002). An observer design for linear time-delay systems. IEEE transactions on automatic control, 47(1), 121-125. doi:10.1109/9.981730

An observer design is proposed for linear systems with time delay. The key of the design is to find a generalized coordinate change such that in the new coordinates all the time-delay terms are injected by the system's output. The existence of such a... Read More

Observer design based on triangular form generated by injective map (2000)
Journal Article
Saif, H., Saif, M., Busawon, K., & Hou, M. (2000). Observer design based on triangular form generated by injective map. IEEE transactions on automatic control, 45(7), 1350-1355. doi:10.1109/9.867046

A study is conducted which focuses on showing that for the multi-output case uniform observability is necessary but not sufficient for the existence of a coordinate change bringing a system a triangular form; providing a procedure to construct an inj... Read More

General solution to systems in polynomial matrix form (2000)
Journal Article
Hayton, G. E., Pugh, A. C., & Hou, M. (2000). General solution to systems in polynomial matrix form. International journal of control, 73(9), 733-743. doi:10.1080/00207170050029241

Solvability and general solutions to dynamic systems in polynomial matrix descriptions are investigated. The polynomial matrix descriptions need not necessarily be regular. Consistency of initial Values and inputs are discussed. The characterization... Read More