Title page for ETD etd-11092005-083248

Type of Document Master's Thesis
Author Devarakonda, Lalitha Srigouri
Author's Email Address ldevar1@lsu.edu
URN etd-11092005-083248
Title Performance Based Switching Control for Single Input Linear Time Invariant Systems
Degree Master of Science in Electrical Engineering (M.S.E.E.)
Department Electrical & Computer Engineering
Advisory Committee
Advisor Name Title
Jorge L. Aravena Committee Chair
Guoxiang Gu Committee Member
Shuangqing Wei Committee Member
  • single input
  • output performance
  • sliding
  • switching control
  • linear time invariant
Date of Defense 2003-08-02
Availability unrestricted
In the present research, we propose a new control strategy to improve the performance of a linear time invariant single input system. We consider a performance index that is dependent only on the controlled variable and try to improve it over that obtained when using a stable state feedback control. Since the control law depends on the performance of the controlled variable, we call it Performance Based Switching Control (PBSC). Switching between two state feedbacks is used to achieve this improvement in performance. The switching strategy combines the best features of both strategies.

The switching surface is actually composed of two subspaces, which intersect on the null space of the switching matrix. Analysis of each of these surfaces shows that sliding might be present on one of them. However, if both state feedbacks are designed using optimal quadratic regulators with different weights in the control effort, sliding motion has not been detected in any of the experiments performed.

The new approach can also yield a fuel-efficient control that uses a system's unstable behavior to its advantage. Overall PBSC can be used to improve output performance of a system.

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