Optimal controller synthesis with multiple objectives

Xin Qi, M.H. Khammash, M.V. Salapaka
2001 Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148)  
We present a methodology to address the general multiobjective (GMO) control problem involving the L1 norm, U2 norm, U, norm and time-domain constraint (TDC). We show that the problem resulted from imposing a regularizing condition always admits an optimal solution, and suboptimal solutions with performance arbitrarily close to the optimal cost can be obtained by constructing two sequences of finite dimensional convex optimization problems whose objective values converge to the optimum from
more » ... he optimum from below and above. A numerical example is presented to illustrate the effectiveness of the proposed methodology. Keywords L1 /3-1~/31, , multiobjective control, robust optimal control, time-domain constraint, linear matrix inequality (LMI), semidefinite programming (SDP)
doi:10.1109/acc.2001.946297 fatcat:b3rmly43knemhhoeaphngf7psq