A Measurement Feedback Switching Control of Systems with State and Control Constraints

Abstract

This paper considers measurement feedback switching control of systems with pointwise-in-time state and control constraints. Prior works have proved that switching control strategies have ability to resolve a common conflict in the design of state regulators : meeting performance requirements such as fast response and good disturbance rejection while simultaneously avoiding violation of specified state and control constraints. However, all of such switching control strategies are derived under consideration of full state feedback. In this paper, measurement feedback switching control law is proposed. The main idea is to utilize a set-valued estimation technique which produces a set of possible state vectors consistent with measured output data. Admissibility conditions on the initial state are satisfied, proposed output feedback switching control law is proved to fulfill the constraints and stability requirements. The disadvantage of this approach is that the online computational burden may severely limit its applicability, especially for systems with fast dynamics.