**Adaptive Gain Robust Control Strategies for Uncertain Dynamical Systems** Adaptive Gain Robust Control Strategies for Uncertain Dynamical Systems

DOI: 10.5772/intechopen.71733

Shunya Nagai, Hidetoshi Oya, Tsuyoshi Matsuki and Yoshikatsu Hoshi Shunya Nagai, Hidetoshi Oya,

Additional information is available at the end of the chapter Tsuyoshi Matsuki and Yoshikatsu Hoshi

http://dx.doi.org/10.5772/intechopen.71733 Additional information is available at the end of the chapter

#### Abstract

In this chapter, adaptive gain robust control strategies for uncertain dynamical systems are presented. Firstly, synthesis of centralized adaptive gain robust controllers for a class of uncertain linear systems is shown. The design problem of the centralized controller is reduced to the constrained convex optimization problem, and allowable perturbation regions of unknown parameters are discussed. Next, the result for the centralized robust controller is extended to uncertain large-scale interconnected systems, that is, an LMI-based design approach for decentralized adaptive gain robust controllers is suggested.

Keywords: adaptive gain robust control, adjustable time-varying parameter, allowable perturbation regions of unknown parameters, LMIs
