2 guaranteed cost control for uncertain continuous-time linear systems

Geromel, J.C.; Peres, Pedro L. D.; Souza, Sérgio Ricardo de

doi:10.1016/0167-6911(92)90035-q

Cited by 51 publications

(19 citation statements)

References 9 publications

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“…To minimize subject to & G (P, AJ (K); )'0 (see Example 1) is an H optimization problem for the plant (15). In the following, we give the exact formulation of the LMI-synthesis problem.…”

Section: Problem Formulationmentioning

confidence: 99%

LMI-based controller synthesis: a unified formulation and solution

Masubuchi

Ohara

Suda

1998

Int. J. Robust Nonlinear Control

288

152

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“…To minimize subject to & G (P, AJ (K); )'0 (see Example 1) is an H optimization problem for the plant (15). In the following, we give the exact formulation of the LMI-synthesis problem.…”

Section: Problem Formulationmentioning

confidence: 99%

LMI-based controller synthesis: a unified formulation and solution

Masubuchi

Ohara

Suda

1998

Int. J. Robust Nonlinear Control

288

152

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“…5 shows the experimental result for the robust H 2 controller specialised for LQR, with gains given by (34), for the same type of variation investigated in The load variation, used in the simulation of Fig. 3, was implemented experimentally, leading to the results presented in Fig.…”

Section: Fig 3 Closed-loop Simulation Results: Responses For Output mentioning

confidence: 99%

“…Note that the LMI conditions of Theorem 1 provides the controller gain (19), which guarantees the robust stability for arbitrarily parameter variations, ensured by quadratic Lyapunov function v(ξ(t)) = ξ (t)Pξ(t) with matrix P = W −1 , and the value of H 2 guaranteed cost, given by √ δ , as in [34].…”

Section: Robust H 2 Controlmentioning

confidence: 99%

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Robust ℋ ₂ control applied to boost converters: design, experimental validation and performance analysis

Maccari

Montagner

Pinheiro

et al. 2012

IET Control Theory Appl.

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This study proposes a design procedure and experimental validation for a robust H 2 state feedback controller applied to a DC-DC boost converter modelled as a linear system affected by time-varying parameters lying in known intervals. The parameters considered as time-varying are the input voltage, the load resistance and the operating point duty cycle. A polytopic representation of the system is derived and the controller is designed by means of a convex optimisation problem based on linear matrix inequalities. The conventional H 2 controller is extended to cope with alpha-stability and robust linear quadratic regulator design, providing different strategies to trade-off the magnitude of the control gains and the response of the closed-loop system. Tight correspondences between numerical simulations and the experimental results prove the viability of the application of this technique for this kind of plant. Finally, a robust performance analysis illustrates the capacity of the closed-loop system to reject energy bounded disturbances, with interpretation for the cases of time-varying and time-invariant parameters.

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“…In particular, H 2 control is appealing since there is a well established connection between the performance index being optimized and performance requirements encountered in practical situations [1,2]. One of the practical concerns of control design is its time-domain performance.…”

Section: Introductionmentioning

confidence: 99%

An improved approach to H-two control with regional stability constraints

Shen

2007

J. Control Theory Appl.

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This paper presents an improved method for H-two control with regional stability constraints for the closedloop system. The controller is given by the convex combination of a set of fixed gains. Both continuous and discrete-time systems in a known polytopic domain are investigated. New LMI-based sufficient conditions for the existence of parameterdependent Lyapunov functions are proposed. Numerical examples are given to show the proposed conditions provide useful and less conservative results for the problems of H-two control with regional stability constraints.

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2 guaranteed cost control for uncertain continuous-time linear systems

Cited by 51 publications

References 9 publications

LMI-based controller synthesis: a unified formulation and solution

LMI-based controller synthesis: a unified formulation and solution

Robust ℋ ₂ control applied to boost converters: design, experimental validation and performance analysis

An improved approach to H-two control with regional stability constraints

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2 guaranteed cost control for uncertain continuous-time linear systems

Cited by 51 publications

References 9 publications

LMI-based controller synthesis: a unified formulation and solution

LMI-based controller synthesis: a unified formulation and solution

Robust ℋ 2 control applied to boost converters: design, experimental validation and performance analysis

An improved approach to H-two control with regional stability constraints

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Product

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Robust ℋ ₂ control applied to boost converters: design, experimental validation and performance analysis