Abstract:
This dissertation presents a methodology to address the problem of composite measure
for multiobjective optimal performance of multi-input multi-output (MIMO) systems.
This technique solves the l 1 norm, H 2 norm, H ∞ norm and time domain characteristic
constraints problems of MIMO systems simultaneously. We will show here that resulted
problem always admits an optimal solution or a suboptimal solution with performance
arbitrarily close to the optimal cost. This can be obtained by constructing two sequences
of finite dimensional semidefinite problems (SDP), whose objective values converge to
the optimum from below and above. On the application of this synthesis technique,
different types of multiple-input and multiple-output problems can be solved and we can
get desired optimal multiobjective performance of conflicting nature. Numerical
examples are presented to illustrate the effectiveness of proposed methodology.
