LMI based multi-objective control under multiple integral and output constraints

Abstract

A new design technique for linear continuous-time systems subject to multiple integral and output constraints is proposed to synthesise linear state-feedback control providing a suboptimal value of a performance index being a convolution of integral criteria and maxima in time of norm of linear functions of state and control variables. The technique is based on quadratic Lyapunov functions and linear matrix inequalities (LMIs). The approach is extended to systems with norm-bounded uncertainty. Efficiency of the technique is illustrated by synthesising a suboptimal linear shock isolator.

Keywords:

• output constraints
• integral constraints
• linear state-feedback control
• linear matrix inequalities
• norm-bounded uncertainty

Acknowledgement

This work was supported in part by the Russian Foundation for Basic Research under Grants 07-01-00481, 08-01-00422 and 08-01-97034-r.