The robust optimal control of uncertain systems-state space method

In this paper, on the basis of the state space method and actual system arrangement, the small fluctuation mathematical model of the water conveyance system with air cushion surge chamber (ACSC) was established. According to the basic equations of ACSC, the ideal gas state equation and the units constant output equation, the formula describing the stable cross-section area (SCSA) of ACSC was deduced, and the small fluctuation stability (SFS) of water conveyance system was analyzed. The corresponding results showed that the air chamber constant had a great influence on the SCSA of ACSC. When the air chamber constant became larger, the quality of the system small fluctuation went worse. The higher upstream water level and the lower initial air chamber height will lead to a smaller initial air chamber constant of ACSC, which is destructive for the stability of the system small fluctuation; As long as the equivalent air quality and air chamber volume are constant, good quality system small fluctuations could be obtained when the initial air chamber height is small and the area of ACSC is large.

Download Full-text

Component Modeling with State-Space Method

Energy and Environment Research in China - Modeling and Control in Air-conditioning Systems ◽

10.1007/978-3-662-53313-0_2 ◽

2016 ◽

pp. 29-108

Author(s):

Ye Yao ◽

Yuebin Yu

Keyword(s):

State Space ◽

State Space Method ◽

Space Method

Download Full-text

Absolute Stabilization and Minimax Optimal Control of Uncertain Systems with Stochastic Uncertainty

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)42593-6 ◽

1997 ◽

Vol 30 (16) ◽

pp. 125-130

Author(s):

A. Ugrinovskii ◽

I.R. Petersen

Keyword(s):

Optimal Control ◽

Uncertain Systems ◽

Stochastic Uncertainty ◽

Minimax Optimal Control ◽

Control Of Uncertain Systems

Download Full-text

Exact Solution of Laminated Orthogonal Hyperbolic Shells of Thermoelastic with Four Simply Supported

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.727-728.529 ◽

2015 ◽

Vol 727-728 ◽

pp. 529-540

Author(s):

Jian Hai Xue ◽

Jia Yu Li

Keyword(s):

Exact Solution ◽

State Space ◽

Thermal Gradient ◽

State Equation ◽

Constitutive Relationship ◽

Homogeneous State ◽

State Space Method ◽

Constitutive Relationships ◽

Laminated Structures ◽

Space Method

The exact solution of laminated Orthogonal Hyperbolic shell of thermoelastic composite is very important to investigate it’s the mechanical properties. Therefore, many studies were completed in this paper. Firstly, the non-homogeneous state equation in generic coordinates is derived for thermoelastic composites including thermal gradient relationships by the basic equations and state space method. Secondly, an augmented dimension constitutive relationship was obtained by combining thermal gradient relationships into constitutive relationships of composite constitutive relationships based on the theory of symplectic variable and precise time-integration with dimension expanding method. Lastly, uniting state space method and the augmented dimension constitutive relationships, a homogeneous state equation which can be solely solved was deduced by eliminating the stresses in plane. The homogeneous state equation can simplify greatly the solution process of the laminated Orthogonal Hyperbolic shell, improve the calculation accuracy. What’s more, it can be discrete straightly in finite element format. So, the homogeneous state equation, derived in the paper, can supply a new method for the exact solution of laminated structures with complicated boundary condition in practice.

Download Full-text