Admissible initial value sets and dynamic feedback control of nonlinear differential-algebraic systems
In this paper, the admissible initial value set and dynamic feedback control of nonlinear differential-algebraic systems are considered. An algorithm to calculate the admissible initial value set is given. Based on the algorithm, the differential-algebraic system can be transformed to a standard state space system constrained in an invariant set. If the standard state space system constrained in the invariant set can be stabilized then the original differential-algebraic system can be stabilized by a dynamic feedback controller.
The present study focuses on the thermodynamic analysis of zeolite–water and activated carbon–ethanol based adsorption cooling systems. The performance of the system depends critically on four operating temperatures namely maximum desorption temperature, minimum adsorption temperature, condensing temperature, and evaporating temperature and also on the ratio of specific heat of structural material and the specific heat of adsorbent. Dubinin–Astakhov equation is used to estimate the equilibrium uptake of working pairs. A comparative study is made between these working pairs for the air-conditioning applications.