Synthesis of discrete‐time nonlinear feedforward/feedback controllers

Soroush, Masoud; Kravaris, Costas

doi:10.1002/aic.690400310

Cited by 10 publications

(2 citation statements)

References 22 publications

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“…Strong asymptotic stability of differential inclusion (12) implies that there are no solutions (•) of (12) exhibiting finite time blow-up and for any positive < there exist = ( , ) and ( ) such that any solution with (0) < satisfies (9) and (10), and (11) holds. 3 Definition 2.4: The smooth function : ℝ → ℝ ≥0 is said to be a smooth strong Lyapunov function for the differential inclusion (12) if it is positive, proper and satisfies the following infinitesimal decrease condition: It is worth mentioning here that the multifunction (13) can be shown to satisfy Hypothesis (H).…”

Section: 20 Main Resultsmentioning

confidence: 99%

A robust stabilization using state feedback with feedforward

Danapalasingam

Cour-Harbo

Chowdhary

et al. 2010

Proceedings of the 2010 American Control Conference

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In a general nonlinear control system a stabilizing control strategy is often possible if complete information on external inputs affecting the system is available. Assuming that measurements of persistent disturbances are available it is shown that the existence of a smooth uniform control Lyapunov function implies the existence of a stabilizing state feedback with feedforward control which is robust with respect to measurement errors and external disturbances. Conversely, using differential inclusions parameterized as nonlinear systems with state and disturbance measurement errors, it is shown that there exists a smooth uniform control Lyapunov function if there is a robustly stabilizing state feedback with feedforward. This paper demonstrates that if there exists a smooth control Lyapunov function for a general nonlinear system with persistent disturbances for which one has previously designed a feedback controller, a feedforward always exists to be augmented for stability.

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Section: 20 Main Resultsmentioning

confidence: 99%

A robust stabilization using state feedback with feedforward

Danapalasingam

Cour-Harbo

Chowdhary

et al. 2010

Proceedings of the 2010 American Control Conference

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show abstract

“…INCE many nonlinear model-based control frameworks required full state information, in the past decades the observer-based controller designs have been addressed in continuous-time setting [1,2], and in discrete-time setting [3,4]. However, these nonlinear observers were open-loop state estimator in regard to consistent initialization.…”

Section: Introductionmentioning

confidence: 99%

Discrete-time nonlinear output feedback control for a class of nonlinear systems using finite difference approaches

2008

2008 American Control Conference

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In this article, the observation and control of a general class of nonlinear systems within the full linearization framework is constructed. Under step-by-step linearization procedures, the nonlinear control is determined by solving the implicit, nonlinear ordinary-differential-equation (ODE) while the observability matrix has full rank. Using the finite difference approach, the discrete-time output feedback control architecture is developed. Closed-loop simulations show that an unstable chemical reactor in the presence of input delay and unknown disturbances is successfully demonstrated.

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A hybrid feedback linearizing-Kalman filtering control algorithm for a distillation column

Jana

Samanta

2006

ISA Transactions

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Synthesis of discrete‐time nonlinear feedforward/feedback controllers

Cited by 10 publications

References 22 publications

A robust stabilization using state feedback with feedforward

A robust stabilization using state feedback with feedforward

Discrete-time nonlinear output feedback control for a class of nonlinear systems using finite difference approaches

A hybrid feedback linearizing-Kalman filtering control algorithm for a distillation column

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