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Eco-inspired Robust Control Design for Linear Dynamical Systems with Applications

Devarakonda, Nagini

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2011, Doctor of Philosophy, Ohio State University, Aero/Astro Engineering.
Recently, the idea of using Ecological Sign Stability approach for designing robust controllers for engineering systems has attracted attention with promising results. In this work, continued research on this topic is presented. It is well known that, in the field of control systems, key to a good controller design is the choice of the appropriate nominal system. Since it is assumed that the perturbations are about this nominal, the extent of allowed perturbation to maintain the stability and/or performance very much depends on this ‘nominal’ system. Therefore, it is evident that this nominal system must have superior robustness properties. Incorporating certain robustness measures proposed in the literature, control design techniques have been realized in state space framework. However, the variety of controllers in state space framework is not as large as that of robust control design methods in frequency domain. Even these very few methods tend to be complex and demand some specific structure to the real parameter uncertainty (such as matching conditions). Overall, the success of all these methods for application to complex aerospace systems is still a subject of debate. Hence, there is still significant interest in designing robust controllers which can perform better than the existing controllers. Addressing these issues, current research proposes that the stability robustness measures for parameter perturbation are considerably improved if the ‘nominal’ system is taken (or driven) to be a ‘sign stable’ system. Motivated by this observation, a new method for designing a robust controller for linear uncertain state space systems is proposed. The novelty of this research lies in the incorporation of ecological principles in order to design robust controllers for engineering systems. It is observed that an ecological perspective gives better understanding of the dynamics of the open and closed loop system (nominal) matrices. One of the attractive features of this controller is that the robustness measure, enters the control design in an explicit manner. The result of implementing controllers inspired by ecological principles simplifies the control algorithm and for certain dynamic systems, greatly reduces computational effort required in the synthesis of the controller. Accurate synthesis of the control algorithms results in ‘most robust’ nominal system (closed loop system). Variations of this control design method that address different categories of uncertainty are presented. The resulting control design methods are illustrated with application to aircraft and spacecraft flight control and aircraft turbine engine control.
Rama K. Yedavalli, PhD (Advisor)
Meyer Benzakein, PhD (Committee Member)
Hooshang Hemami, PhD (Committee Member)
139 p.

Recommended Citations

Citations

  • Devarakonda, N. (2011). Eco-inspired Robust Control Design for Linear Dynamical Systems with Applications [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1313519615

    APA Style (7th edition)

  • Devarakonda, Nagini. Eco-inspired Robust Control Design for Linear Dynamical Systems with Applications. 2011. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1313519615.

    MLA Style (8th edition)

  • Devarakonda, Nagini. "Eco-inspired Robust Control Design for Linear Dynamical Systems with Applications." Doctoral dissertation, Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1313519615

    Chicago Manual of Style (17th edition)