Output Feedback Control with Input Saturations: LMI Design Approaches

Scorletti, Gérard; Folcher, Jean-Pierre; Ghaoui, Laurent El

doi:10.3166/ejc.7.567-579

Cited by 22 publications

(8 citation statements)

References 23 publications

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“…More specifically, sat(u i ) = sgn(u i ) min {ū i , |u i |}. Throughout this article, it is assumed that 21 has full row rank and…”

Section: Problem Formulationmentioning

confidence: 99%

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Gain scheduling output feedback control of linear plants with actuator saturation

Ban

2015

Journal of the Franklin Institute

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From a gain-scheduling perspective, we will study the output feedback control problem for linear systems with some of control channels subject to actuator saturation. This includes the scenario of all actuator saturation as a special case. A feedback controller, expressed in the form of linear fractional transformation, is proposed to guarantee regional stability of the closed-loop system and provide disturbance/error attenuation measured in L 2 gain. The resulting synthesis condition is formulated as linear matrix inequalities (LMIs) and can be solved efficiently. Moreover, explicit formulas are derived to calculate controller gains, which reduces the computational cost compared to the method of directly solving the LMI-based condition. Numerical examples are provided to demonstrate the proposed saturation control approach.

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“…More specifically, sat(u i ) = sgn(u i ) min {ū i , |u i |}. Throughout this article, it is assumed that 21 has full row rank and…”

Section: Problem Formulationmentioning

confidence: 99%

“…Nevertheless, most of this literature on exponentially unstable systems pertains to state feedback. A few exceptions where output feedback are used include [10,17,19,21,25,26,4]. In particular, a saturation control synthesis method was proposed in [4] for the construction of output feedback controllers with an internal deadzone loop.…”

Section: Introductionmentioning

confidence: 99%

Gain scheduling output feedback control of linear plants with actuator saturation

Ban

2015

Journal of the Franklin Institute

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“…However, most of this literature on exponentially unstable systems pertains to state feedback. Only a few concern output feedback (Dai, Hu, Teel, & Zaccarian, 2009;Hu & Lin, 2004;Nguyen & Jabbari, 1999;Paim, Tarbouriech, Gomes da Silva Jr., & Castelan, 2002;Scorletti, Folcher, & El Ghaoui, 2002;Wu, Lin, & Zheng, 2007;Wu, Zheng, & Lin, 2009). Using a polytopic differential inclusion (PDI) describing actuator saturation, a method for designing an output feedback law that stabilises the systems considered with a large domain of attraction is proposed in Wu et al (2007).…”

Section: Introductionmentioning

confidence: 98%

New results on switched linear systems with actuator saturation

Chen

2014

International Journal of Systems Science

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This paper further studies the analysis and control problems of continuous-time switched linear systems subject to actuator saturation. Using the norm-bounded differential inclusion description of the saturated systems and the minimal switching rule, a set of switched output feedback controllers is designed to minimise the disturbance attenuation level defined by the regional L 2 gain over a class of energy-bounded disturbances. The synthesis conditions are expressed as bilinear matrix inequalities, and can be solved by numerical search coupled with linear matrix inequality optimisation. Compared to the previous method based on polytopic differential inclusion, the proposed approach has good scalability and potentially renders better performance. Numerical examples are provided to verify the effectiveness of the proposed approach.

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“…An antiwind-up controller is designed that protects the control system from the windup in [4]. A low complexity algorithm is proposed for the linear plants with input saturation in [5]. A globally stable tracking control algorithm is proposed for spacecraft in the presence of control input saturation, parametric uncertainty and external disturbances [6].…”

Section: Introductionmentioning

confidence: 99%

A time efficient nonlinear tracking controller

Shafiq

Yousef

Al-Saadi

2015

2015 IEEE International Conference on Industrial Technology (ICIT)

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This article proposes a time efficient set-point tracking controller. The proposed controller synthesizes smooth control input within the input saturation limits of a class of second order nonlinear continuous time plants. The Lyapunov function based analysis assures the global asymptotic stability of the closedloop and the convergence of the set-point tracking error to zero. The computer simulation and laboratory scale experimental results are included in the paper to verify the theoretical findings.

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Output Feedback Control with Input Saturations: LMI Design Approaches

Cited by 22 publications

References 23 publications

Gain scheduling output feedback control of linear plants with actuator saturation

Gain scheduling output feedback control of linear plants with actuator saturation

New results on switched linear systems with actuator saturation

A time efficient nonlinear tracking controller

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