1988
DOI: 10.1109/9.404
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A new CAD method and associated architectures for linear controllers

Abstract: A bstract-A new CAD method and associated architectures are proposed for linear controllers. The design method and architecture are based on recent results which parameterize all controllers which stabilize a given plant. With this architecture, the design of controllers is a convex programming problem which can be solved numerically.Constraints on the closed-loop system such as asymptotic tracking, decoupling, limits on peak excursions of variables, step response, settling time, and overshoot, as well as freq… Show more

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Cited by 226 publications
(27 citation statements)
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References 25 publications
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“…Especially Boyd et al [9,10] apply the convex optimization technique to the multi-input multi-output (MIMO) control system design problems both in continuous time and discrete time which include a number of convex specifications in time domain as well as in frequency domain. These convex problems are efficiently solved by specifying in a control specification language and then compiling into a standard convex program, which is eventually solved by some numerical solvers.…”
Section: Introductionmentioning
confidence: 99%
“…Especially Boyd et al [9,10] apply the convex optimization technique to the multi-input multi-output (MIMO) control system design problems both in continuous time and discrete time which include a number of convex specifications in time domain as well as in frequency domain. These convex problems are efficiently solved by specifying in a control specification language and then compiling into a standard convex program, which is eventually solved by some numerical solvers.…”
Section: Introductionmentioning
confidence: 99%
“…The purpose of this section is to give a brief review of how to exploit the Youla-parametrization for numerical computation, see Boyd, et al (1991Boyd, et al ( , 1988. In particular, we will show that the computational work required to solve the Dynamic MPC problem is similar to the work required in the traditional MPC formulation.…”
Section: The On-line Optimization Problemmentioning
confidence: 99%
“…The optimisation of the control filter coefficients is therefore a constrained minimisation problem and previous work has shown that it is useful to set up this convex optimisation in the discrete frequency domain. 24 If the frequency responses of the plant and controller are discretised at K linearly spaced frequencies, k, then the optizmisation of the SISO IMC controller can be expressed as…”
Section: Controller Optimisationmentioning
confidence: 99%