Multiobjective controller synthesis via eigenstructure assignment with state feedback

ABSTRACT

A general parameter scheme for multiobjective controller synthesis via eigenstructure assignment with state feedback is proposed. The scheme provides total pole configurability, that is, pole assignment constraints, partial pole assignment constraints, generalised regional pole assignment constraints can be dealt with simultaneously without introducing essential conservatism. The scheme is derived from the pole assignment approach using Sylvester equations, and the parameter space is the Cartesian product of some subspaces characterising the free parameters. Under the scheme, the controller design problems are formulated as nonlinear optimisation problems with both objectives and constraints being differentiable and can be solved by derivative-based nonlinear programming technique. Numerical examples are given to illustrate the efficiency of the proposed method.

Keywords:

• Eigenstructure assignment
• multiobjective controller design
• partial pole assignment
• regional pole assignment
• robust pole assignment

Additional information

Funding

This work was partially supported by GRF HKU [grant number 201411159139].