λ 1 / H 2 / H ∞ / TDC MULTIOBJECTIVE OPTIMIZATION CONTROL SYNTHESIS FOR MIMO SYSTEMS

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.