Analysis and controller design for semi-active suspension systems: From the view point of variable structure systems

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Analysis and controller design for semi-active suspension systems: From the view point of variable structure systems

Hwang, Y.R.

This dissertation is concerned with the design and analysis of a suboptimal controller for semi-active suspension systems. Semi-active suspension systems equipped with a damper having variable damping coefficient (which is control input of the system) are considered in this dissertation. The semi-active suspension system is represented as a variable structure system in the state space, and is analyzed form a geometric point of view. The suboptimal semi-active suspension system behaves like a linear dynamic system in each of different regions of the state space. However, the system is nonlinear due to the switching among different regions. Two significant phenomena have been observed: under some situations, the control input approaches a periodic-like function as time increases, and there exist some instantaneous jumps of the control input from the lower limit to the upper limit, and these instantaneous jumps create high sprung mass jerk. To understand these phenomena, a new class of functions, i.e. the radially linear functions, and a new class of dynamic systems, i.e. the radially linear dynamic systems are defined and analyzed.