This paper synthesizes a new sliding mode controller
(SMC) approach
to enhance tracking and regulation tasks by following dual-mode concepts.
The new control law consists of two distinct types of operation, using
the combination of higher gain to large error signals (transient)
and lower gain to small error signals (the region around the set point).
The design is presented from a dual-mode (PD–PID) sliding surface
operating in concert, fulfilling desired control objectives to ensure
stability and performance. Therefore, a new controller was established,
and we called it a dual-mode based SMC. The proposed controller is
tested by computer simulations applied to two nonlinear processes,
a continuous stirred-tank reactor (CSTR) and a mixing tank with a
variable dead time. The results are compared with two different alternatives
of SMC. In addition, the merits and drawbacks of the control schemes
are analyzed using radial graphs, comparing the control methods with
various performance measures for set points and disturbances changes.
The ITSE (integral of time multiplied by the squared error), TVu (total
variation of control effort) indices, Mp (maximum overshoot), and
ts (settling time) were the indices used for performance analysis
and comparisons.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.