Observer Based Partial Switching Control of Systems with State and Control Constraints

Abstract

This paper considers output-feedback switching control of systems with pointwise-in-time state and control constraints. In the case of full state feedback, the ability of switching control laws for resolving a common conflict in the design of state regulators has been proved. Under measurement feedback, previous work of the authors derived the switching control law utilizing a set-valued state estimation technique. However, the online computational burden in constructing the set-valued estimates of the plant state may severely limit its applicability. Proposed methods in this paper alleviate this burden. The main idea is to construct an upper bound of certain quadratic form of unmeasured error signals. The resulting measurement feedback switching control law is then constructed in conjunction with this upper bound as an estimation error, rather than set-valued estimate of the state.