Absolute Stabilizability via Synchronous Controller Switching

Abstract

AbstractThis chapter considers the problems of state and output feedback robust stabilizability for a class of uncertain dynamical systems. The system under consideration consists of a linear uncertain continuous-time plant with control and uncertainty inputs and a synchronously switching controller. The plant uncertainty is required to satisfy a certain “integral quadratic constraint.” This uncertainty description was developed in the work of Yakubovich and has been extensively studied (e.g., see [93, 94, 116, 118, 119, 160]). It has been shown to provide a good representation of the uncertainty arising in many real control problems. Associated with this class of uncertain systems is a corresponding robust stabilizability notion often referred to as absolute stabilizability. The controller is defined by a collection of given nonlinear state or output feedback controllers which are called basic controllers. The control goal is to absolutely stabilize the linear uncertain plant by synchronous switching from one basic controller to another.KeywordsControl InputRiccati EquationOutput FeedbackUncertain SystemStructure UncertaintyThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.