Second Order Sliding Mode Control of Coupled Tanks

Abstract

A second order sliding mode control algorithm is presented for robust control of the liquid level in a pair of interconnected tanks. The controller is implemented on a laboratory rig. The implementation results show robustness to parameter variations such as tank area, the admittance coefficients of various pipes, leakage in the tanks and uncertainty in the pump dynamics. The potential of second order sliding modes for multivariable control is demonstrated.

Coordinated Ramp Metering Via Second Order Sliding Mode Control

“…When applied sliding surface has a relative degree of 2 against the control input, the 2SMC is directly applied to system input, otherwise, it acts on the control input derivative. Main results available for 1SMC are provided for SISO systems, however, as shown in [15] and [16], it is generally straightforward to extend the results to MIMO systems.…”

“…In fact sliding mode control is known to be a robust control method appropriate for uncertain systems. Theoretical results but also practical design examples shown that high robustness is maintained against various kinds of uncertainties such as exogenous signal and measurement errors [19], [15]. This The purpose of this paper is to show that both first order (FOSM) and second order sliding mode (SOSM) control can be applied for straightforward development of a coordinated ramp metering strategy.…”

Fuzzy Sliding-Mode Control for Quad-Rotor Trajectory Tracking

“…There are a lot of researches on the applications of sliding mode control. Mohammad Khalid [1] uses a second order sliding mode control for a pair of interconnected tanks. Fei Juntao [2] uses online identification to estimate the bound of uncertainties and disturbance ,design a adaptive sliding mode controller for triaxial gyroscope.…”