Doctoral Dissertations


Jie Yao


“A finite time suboptimal control strategy (named θ - D approximated algorithm) was proposed in this study, which can provide the control engineers with a novel effective and efficient design tool from the finite time optimal perspective. Based on the framework of this proposed method, the original nonlinear dynamics were formulated in pseudo-linear form, and the performance index was denoted by a linear quadratic regulator prototype in this research. After that, the approximated solutions to intractable Hamilton-Jacobi-Bellman (HJB) equation were acquired by putting vanishing perturbation terms into the performance index. By tuning the parameters in perturbation terms, semi-global stability and sub-optimalilty was guaranteed. By taking the advantages of the perturbation terms, the large control was not required to cope with the large deviation at the initial time, which alleviates the severe tests of the actuators. The detailed procedure to develop this technique and corresponding stability proof were provided. The effectiveness of the proposed technique was verified by solving the two-dimensional benchmark problem, and the other three aerospace applications, including Reusable Launch Vehicle (RLV) landing problem, multiple satellites docking problem, and satellite maneuvering considering J2 perturbation problem. In this research, contrary to the finite-time state dependent Riccati equation (FSDRE) technique , the proposed technique did not need excessive online computation, which makes the real-time implementation in various engineering scenarios possible since the computational resources are always limited for any specific engineering application; thus, leading to the major contribution of this research for avoiding the online computation of nonlinear Riccati equation and matrix inverse operation at each sample time”--Abstract, page iii.


Balakrishnan, S. N.

Committee Member(s)

Landers, Robert G.
Hosder, Serhat
Krishnamurthy, K.
Gosavi, Abhijit


Mechanical and Aerospace Engineering

Degree Name

Ph. D. in Mechanical Engineering


Missouri University of Science and Technology

Publication Date

Fall 2020


xiv, 105 pages

Note about bibliography

Includes bibliographic references (pages 96-104).


© 2020 Jie Yao, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Thesis Number

T 12066

Electronic OCLC #