ABSTRACT
The decentralied robust H∞ control problem is considered for fractional-order interconnected systems subject to time-invariant norm-bounded uncertainties in the system, control input and interconnection matrices. First, sufficient conditions for designing a decentralised robust H∞ state feedback controller to guarantee that the closed-loop fractional-order interconnected systems are asymptotically stable with prescribed H∞ performance for all admissible uncertainties are given in terms of linear matrix inequalities. Second, a convex optimisation problem with linear matrix inequality constraints is formulated to design a decentralised robust H∞ state feedback controller with lower gains. Finally, one illustrative example is given to demonstrate the effectiveness of the proposed theoretical results.
Disclosure statement
No potential conflict of interest was reported by the authors.