Abstract
Linear multicellular system is a type of differential inclusion system, which can be deemed as an extension of linear control system with set‐valued mapping. As an important issue in existing control systems, interval state estimation has been widely applied in engineering practices. Over the years, the objects of the studies on interval state estimation have been extended from the initial linear time‐invariant systems to linear time‐varying systems, chaotic systems, feedback linearization systems, and nonlinear Lipschitz systems. However, there is no report on the design of interval observer for linear multicellular system. To make up for this gap, this chapter attempts to explore the design of an interval observer for linear multicellular systems.
Highlights
With the rapid development of science and technology, the traditional state estimation theory can no longer accurately estimate the system state, due to the heavy presence of uncertainties in actual systems
Linear multicellular system is a type of differential inclusion system, which can be deemed as an extension of linear control system with set-valued mapping
There is no report on the design of interval observer for linear multicellular system
Summary
With the rapid development of science and technology, the traditional state estimation theory can no longer accurately estimate the system state, due to the heavy presence of uncertainties in actual systems. The earliest interval observers were designed for the state monitoring of such biochemical systems as biochemical reactions, wastewater treatment systems, and vehicle control systems. It is impossible to make an accurate model for any of these systems, as they receive uncertain inputs and suffer from external disturbances with unknown statistical laws. In this case, the observation error rarely converges to zero if the observer is constructed according to the traditional method. The interval observer can measure the real-time upper and lower bounds of the state change at any time, fulfilling the control requirements. There is no report on the design of interval observer for linear multicellular system. Complexity can effectively estimate the system state through the control of the deviation and the adjustment of control gain
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