Texas A&M University Institute of Advanced Studies

Shao-Chen Hsu

Shao-Chen Hsu

I have benefitted from the TIAS Heep Fellowship. My work under the supervision of Dr. Bhattacharya has yielded excellent preliminary results for my PhD career. My research is to develop controllers in polynomial chaos frame-work for linear parameter varying (LPV) systems. The systems depends on unknown but measurable parameters and are often utilized in engineering, such as vehicles, aircraft, missile autopilot and so on. In addition, many nonlinear systems can also be transferred to LPV systems. Different from the conventional LPV control, we treat these unknown parameters as random variables and apply polynomial chaos theory to controller synthesis. The advantage of our method is that we do not have confidence issue in the solution because polynomial chaos theory is a deterministic approach. Moreover, the stability of the system is in an exponential mean square sense rather than probabilistic sense. We have developed an algorithm of linear quadratic regulator by using our approach, and the result has shown that it outperforms the conventional LPV control.

Thanks to the collaboration with Dr. Bhattacharya, the result meets our expectation and will be submitted to Automatica journal. After that, we are going to develop H2 and H∞ control by using polynomial chaos theory as well. The final goal would be to design an autonomous rolling tensegrity ball with all these control theories.

Shao-Chen Hsu worked with Faculty Fellow Dr. Robert Skelton.


Aerospace Engineering

Graduation Year

December 2018

Degree Type


Fellowship Year(s)

'14 - '15

Previous Education

B.S. in Mechanical Engineering - National Central University, Taiwan - '09
M.S. in Mechanical Engineering - Texas A&M University - '14


R. Bhattacharya

Journal Articles

1. S. C. Hsu, R. Bhattacharya, Design of Linear Parameter Varying Quadratic Regulator in Polynomial Chaos Framework. In progress



1. http://www.researchgate.net/publication/281628763_Design_of_Linear_Parameter_Varying_Quadratic_Regulator_in_Polynomial_Chaos_Framework

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