Improved Controller Design for Positive Systems and Its Application to Positive Switched Systems

摘要

This chapter will address a new controller design approach for positive systems. First, we decompose the feedback gain matrix K_m ×n into m × n nonnegative components and m × n non-positive components. For the nonnegative components, each component contains only one positive element and the other ones are zero. Similarly, each non-positive component contains only one negative element and the other ones are zero. Then, a simple but effective controller design of positive systems is proposed by incorporating the decomposed feedback gain matrix into the resulting closed-loop systems. The present approach is thus applied to positive switched systems. It is shown that the designed controller for positive switched systems is less conservative than those ones in the literature.