الفهرس 
CONTROLLER DESIGN USING H? METHODOnly 14 pages are availabe for public view
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Abstract
This research focused on the designing of H∞ control of dynamic systems
and gives an introduction to the more general subject of robust control. Robust
control system design based on H∞ control methods for linear and nonlinear
systems is an important research area. Many popular applications using H∞, have
been appeared in the last decade. The ‘H∞ control problem’ is to find a controller,
K(s) that make the closed loop system stable and minimized H∞ norm for transfer
function from disturbance to output.
So, a mathematical description of H∞ norm is introduced first and then a
fairly comprehensive and step-by-step treatment of the state-space H∞ control
theory using Algebraic Riccati Equation is included. The robust control problem
with tools for robust stability and performance analysis and synthesis is also
studied. We shall discuss how to formulate a robust design problem, a
minimization problem and find the solutions. Then the designing examples will be
introduced to illustrate the controller technique.
Finally, we deal with a fuzzy logic control (FLC) design procedure for the
nonlinear systems with optimal robustness performance. Based on the Takagi–
Sugeno (T-S) fuzzy models, a fuzzy state feedback controller is developed to
stabilize the nonlinear system by the Lyapunov approach. We have analyzed the
H∞ control problem for discrete-time T-S fuzzy system, using new scheme
technique called Switched PDC. The new structure is determined based on the
value of membership function. The proposed robust stability and stabilization
conditions are represented in terms of LMIs, which can be solved efficiently by
using the existing LMI optimization techniques. The proposed method guarantees
the stability and H∞ performance of closed loop nonlinear systems.