Sensitivity-reduced design of linear regulators

Subbayyan, R.; Vaithilingam, M. C.

doi:10.1080/00207177908922708

Cited by 15 publications

(3 citation statements)

References 5 publications

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“…Thus [7] The right-hand side of this equation can be split into two parts: one is analytic in the right half plane, and the other is analytic in the left half plane. By neglecting the former, we have lT(s)=Pf(s){lP T 1 (-s)T 1 W T (-s)Qr(s)U [ 8 ] From this equation, we can find the relationship between U,(s) and r(s). For a given step reference input with magnitude r, (i. e. r(s)=rjs) and the steady-state value of U(s) with magnitude u,, then,…”

Section: Controller Without Integral Action (Methods A)mentioning

confidence: 97%

“…However, the sensitivity reduction is not significant. Several authors (2)(3)(4)(5)(6)(7)(8) attempted to reduce the sensitivity by augmenting the trajectory sensitivity equation with the state equation and/or output equation and by modifying the performance index to include a weighting on the quadratic trajectory sensitivity term, and/or defined the control law by output feedback. All back owing to the fact that the variation of control due to the changes system paramters, (dti/das), is not known a priori.…”

Section: Introductionmentioning

confidence: 99%

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Design of low sensitivity controllers: Preregulator approach

Liou¹,

1985

Journal of the Chinese Institute of Engineers

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Since the trajectory sensitivity can not be modeled accurately in a closed-loop formulation, the linear preregulator design techniques are investigated to approximate the sensitivity information, and two methods leading to transfer-function matrix form are developed. The obtained control systems have shown much improvement in reducing the sensitivity, specially for Method B. The advantages of Method B over Method A are that the difficulty of obtaining the steady state control law in terms of the reference input can be prevented and that the controller containing an integral action can be obtained to ensure that there is no steady-state error.

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Section: Controller Without Integral Action (Methods A)mentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Design of low sensitivity controllers: Preregulator approach

Liou¹,

1985

Journal of the Chinese Institute of Engineers

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“…In the popular methods of parameter sensitivity reduction by the inclusion of a quadratic trajectory sensitivity term in the linear regulator (3)(4)(5)(6)(7), the form of the feedback controller contains both state variable and trajectory sensitivity terms.…”

Section: Introductionmentioning

confidence: 99%

Low‐sensitivity controllers for discrete‐time systems

Liou¹,

Tu²

1985

Journal of the Chinese Institute of Engineers

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The problem of trajectory sensitivity considered in the literature was restricted to the continuous-time systems. Some of the criteria provided in previous work (9, 10) are extended to the discrete-time control systems. Two methods based on the Z-domain design technique are developed to overcome the difficulty of obtaining the variations of control due to the changes of system parameters. The obtained Z-domain controllers are particularly suitable for implementation on a microprocessor or digital computer. mm m (9 .10)

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Controller design for parameter sensitivity reduction in linear regulators

Yedavalli

Skelton

1982

Optim Control Appl Methods

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This paper addresses the problem of parameter sensitivity reduction in linear regulators. It is shown that the minimization of a modified performance index which includes a quadratic term of trajectory sensitivity (state, output, or control) subject to the augmented sensitivity system dynamics causes reduction not only in trajectory sensitivity but also in cost sensitivity. Inclusion of both state sensitivity and control sensitivity terms in the cost functional reduces cost sensitivity and facilitates the unification of two approaches previously treated independently: 'trajectory sensitivity reduction' and 'cost sensitivity reduction'. Two control design methods, one based on a linear formulation and the other on a non-linear formulation, are given for both deterministic and stochastic systems. The improvement of these methods over existing methods is illustrated by examples.

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Sensitivity-reduced design of linear regulators

Cited by 15 publications

References 5 publications

Design of low sensitivity controllers: Preregulator approach

Design of low sensitivity controllers: Preregulator approach

Low‐sensitivity controllers for discrete‐time systems

Controller design for parameter sensitivity reduction in linear regulators

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