Displaying similar documents to “Scope and generalization of the theory of linearly constrained linear regulator”

Use of semidefinite programming for solving the LQR problem subject to rectangular descriptor systems

Muhafzan (2010)

International Journal of Applied Mathematics and Computer Science

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This paper deals with the Linear Quadratic Regulator (LQR) problem subject to descriptor systems for which the semidefinite programming approach is used as a solution. We propose a new sufficient condition in terms of primal dual semidefinite programming for the existence of the optimal state-control pair of the problem considered. The results show that semidefinite programming is an elegant method to solve the problem under consideration. Numerical examples are given to illustrate the...

A matrix inequality based design method for consensus problems in multi-agent systems

Shohei Okuno, Joe Imae, Tomoaki Kobayashi (2009)

International Journal of Applied Mathematics and Computer Science

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In this paper, we study a consensus problem in multi-agent systems, where the entire system is decentralized in the sense that each agent can only obtain information (states or outputs) from its neighbor agents. The existing design methods found in the literature are mostly based on a graph Laplacian of the graph which describes the interconnection structure among the agents, and such methods cannot deal with complicated control specification. For this purpose, we propose to reduce the...