Development of an adaptive and explicit dual model predictive controller based on generalized orthogonal basis filters

Kumar, Kunal; Patwardhan, Sachin C.; Noronha, Santosh

doi:10.1016/j.jprocont.2019.03.006

Cited by 6 publications

(2 citation statements)

References 28 publications

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“…At present, the control strategies of the multitank liquid-level system mainly concentrates on the following aspects, for instance, proportion integration differentiation (PID) control [5][6][7], predictive control [8,9], fuzzy control [10], backstepping control [11,12], and sliding mode control (SMC) [13,14]. In addition to the above, there are some other methods used in the multiple-tank liquid-level system.…”

Section: Introductionmentioning

confidence: 99%

Disturbance Observer and L2-Gain-Based State Error Feedback Linearization Control for the Quadruple-Tank Liquid-Level System

Meng

et al. 2020

Energies

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This paper proposes a fresh state error feedback linearization control method with disturbance observer (DOB) and L2 gain for a quadruple-tank liquid-level system. Firstly, in terms of the highly nonlinear and strong coupling characteristics of the quadruple-tank system, a state error feedback linearization technique is employed to design the controller to achieve liquid-level position control and tracking control. Secondly, DOB is purposed to estimate uncertain exogenous disturbances and applied to compensation control. Moreover, an L2-gain disturbance attenuation technology is designed to resolve one class of disturbance problem by uncertain parameter perturbation existing in the quadruple-tank liquid-level system. Finally, compared with the classical proportion integration differentiation (PID) and sliding mode control (SMC) methods, the extensive experimental results validate that the proposed strategy has good position control, tracking control, and disturbance rejection performances.

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Section: Introductionmentioning

confidence: 99%

Disturbance Observer and L2-Gain-Based State Error Feedback Linearization Control for the Quadruple-Tank Liquid-Level System

Meng

et al. 2020

Energies

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“…Utilizing some orthogonal functions sequence, (Deb et al , 2006; El-Daou and AI-Hamad, 2012; Han et al , 2012; Mashayekhi et al , 2012; Kumar et al , 2019), to approximate the solutions of OCPs is another kind of scheme. Orthogonal functions are widely used in dealing with various kinds of OCPs.…”

Section: Introductionmentioning

confidence: 99%

A numerical method for solving optimal control problems via Legendre polynomials

Yan

Zhu

2020

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Purpose The purpose of this paper is to propose an iterative Legendre technique to deal with a continuous optimal control problem (OCP). Design/methodology/approach For the system in the considered problem, the control variable is a function of the state variables and their derivatives. State variables in the problem are approximated by Legendre expansions as functions of time t. A constant matrix is given to express the derivatives of state variables. Therefore, control variables can be described as functions of time t. After that, the OCP is converted to an unconstrained optimization problem whose decision variables are the unknown coefficients in the Legendre expansions. Findings The convergence of the proposed algorithm is proved. Experimental results, which contain the controlled Duffing oscillator problem demonstrate that the proposed technique is faster than existing methods. Originality/value Experimental results, which contained the controlled Duffing oscillator problem demonstrate that the proposed technique can be faster while securing exactness.

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Development of a Distributed Adaptive Dual MPC Scheme with Application to Control of an Octuple Tank System

Singh,

Patwardhan,

Bhartiya

2024

IFAC-PapersOnLine

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Development of an adaptive and explicit dual model predictive controller based on generalized orthogonal basis filters

Cited by 6 publications

References 28 publications

Disturbance Observer and L2-Gain-Based State Error Feedback Linearization Control for the Quadruple-Tank Liquid-Level System

Disturbance Observer and L2-Gain-Based State Error Feedback Linearization Control for the Quadruple-Tank Liquid-Level System

A numerical method for solving optimal control problems via Legendre polynomials

Development of a Distributed Adaptive Dual MPC Scheme with Application to Control of an Octuple Tank System

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