A New Probabilistic Robust Control Approach for System with Uncertain Parameters

Abstract

This paper addresses the issues of conservativeness and computational complexity of robust control. A new probabilistic robust control method is proposed to design a high performance controller. The key of the new method is that the uncertainty set is divided into two parts: r‐subset and the complementary set of r‐subset. The contributions of the new method are as follows: (i) a deterministic robust controller is designed for r‐subset, so it has less conservative than those designed by using deterministic robust control method for the full set; and (ii) the probabilistic robustness of the designed controller is evaluated just for the complementary set of r‐subset but not for the full set, so the computational complexity of the new method is reduced. Given expected probability robustness, a pertinent probabilistic robust controller can be designed by adjusting the norm boundary of r‐subset. The effectiveness of the proposed method is verified by the simulation example.

ZD Method Based Nonlinear and Robust Control of Agitator Tank

“…A linear cascade (master/slave) control configuration was proposed, which led to global internal stability of the controlled system with asymptotic regulation of the output-stream composition about a given desired setpoint [18]. A liquid level control system of a container water tank system was developed based on fuzzy proportional-integral-derivative (PID) and immune PID controllers [20]. A liquid level control system of a container water tank system was developed based on fuzzy proportional-integral-derivative (PID) and immune PID controllers [20].…”

“…A novel nonlinear feedback control law for continuous stirred tank reactors, obtained by exact input/output linearization and Sontag's input‐to‐state stability feedback control redesign methods, was studied . A liquid level control system of a container water tank system was developed based on fuzzy proportional–integral–derivative (PID) and immune PID controllers . Notably, almost all of the aforementioned methods investigated the control of the agitator tank.…”