A new Sliding Mode Control tuning approach for second-order inverse-response plus variable dead time processes

Castellanos-Cárdenas, Duby; Castrillón, Fabio; Vásquez, Rafael E.; Posada, Norha L.; Camacho, Oscar

doi:10.1016/j.jprocont.2022.05.001

Cited by 17 publications

(10 citation statements)

References 59 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The continuous control law U C ( t ) is determined using Filippov’s equivalent control procedure , following the sliding mode desired motion. The first step is to apply the sliding condition (eq ): d S ( t ) d t = 0 Thus, the chosen surface is derived: d S 1 ( t ) d t = d 2 e ( t ) d t 2 ( t ) + λ d e ( t ) d t = 0 Afterward, the output error e ( t ) is expressed in terms of the system output x ( t ) and the set point r ( t ). Considering that e ( t ) = r ( t ) – x ( t ), eq is rewritten as follows: d 2 r ( t ) d t 2 − d 2 x ( t ) d t 2 + λ d r ( t ) d t − λ d x ( t…”

Section: Dual-mode Sliding Mode Controller Synthesismentioning

confidence: 99%

“…That means the S(t) = 0 condition is satisfied first when the system reaches the sliding mode, that is, when U D (t) = 0, (equivalently S(t) = 0) and then by the equivalent control principle U eq = U C (t) will maintain the system on the sliding surface (again S(t) = 0). The continuous control law U C (t) is determined using Filippov's equivalent control procedure 31,40 following the sliding mode desired motion. The first step is to apply the sliding condition (eq 7): 31 dS t dt ( ) 0 =…”

Section: Dual-mode Sliding Mode Controller Synthesismentioning

confidence: 99%

“…The continuous control law U C (t) is determined using Filippov's equivalent control procedure 31,40 following the sliding mode desired motion. The first step is to apply the sliding condition (eq 7): 31 dS t dt ( ) 0 =…”

Section: Dual-mode Sliding Mode Controller Synthesismentioning

confidence: 99%

“…The sliding surface is where the system dynamics are restricted to its equations. , Then, the behavior of a process will depend on the surface dynamics. Moreover, the chosen surface will represent the desired global performance and characterize the stability of the whole system. , …”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the chosen surface will represent the desired global performance and characterize the stability of the whole system. 5,31 The usual choice is the PID surface. 5 However, a more highly sensitive controller could be achieved if a proportionalderivative action is considered.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Dual-Mode Based Sliding Mode Control Approach for Nonlinear Chemical Processes

et al. 2023

Self Cite

View full text Add to dashboard Cite

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.

show abstract