This paper proposes a simple computer-aided feedback design strategy for polynomial control systems. The design strategy is based on passivity and semidefinite programming, two well-established concepts from control theory and optimization. The combination of these two concepts leads to a physically motivated feedback design strategy which can be efficiently and reliably solved on a computer. In particular, this paper addresses the problem of designing globally stabilizing feedbacks via state feedback passivation and via dynamic output feedback passivation using semidefinite programming and the sum of squares decomposition.
Print ISSN: 0178-2312
Volume: 53, 08/2005
Pages: 356 - 366