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  • CYBERNETICS  (5)
  • 1990-1994  (5)
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  • 1
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    A linear quadratic regulator approach to the stabilization of uncertain linear systems (1990)
    In:  Other Sources
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    Publication Date: 2019-07-13
    Description: This paper presents a linear quadratic regulator approach to the stabilization of uncertain linear systems. The uncertain systems under consideration are described by state equations with the presence of time-varying unknown-but-bounded uncertainty matrices. The method is based on linear quadratic regulator (LQR) theory and Liapunov stability theory. The robust stabilizing control law for a given uncertain system can be easily constructed from the symmetric positive-definite solution of the associated augmented Riccati equation. The proposed approach can be applied to matched and/or mismatched systems with uncertainty matrices in which only their matrix norms are bounded by some prescribed values and/or their entries are bounded by some prescribed constraint sets. Several numerical examples are presented to illustrate the results.
    Keywords: CYBERNETICS
    Type: AIAA PAPER 90-3509 , AIAA Guidance, Navigation and Control Conference; Aug 20, 1990 - Aug 22, 1990; Portland, OR; United States
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  • 2
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    Observer-based robust-H-infinity control laws for uncertain linear systems (1992)
    In:  Other Sources
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    Publication Date: 2019-07-12
    Keywords: CYBERNETICS
    Type: Journal of Guidance, Control, and Dynamics (ISSN 0731-5090); 15; 5 Se; 1125-113
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  • 3
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    Hybrid state-space self-tuning control of uncertain linear systems (1993)
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    Publication Date: 2019-07-13
    Description: The paper presents a hybrid state-space self-tuner using a new dual-rate sampling scheme for digital adaptive control of continuous-time uncertain linear systems. A state-space-based recursive least-squares algorithm, together with a variable forgetting factor, is used for direct estimations of both the equivalent discrete-time uncertain linear system parameters and the associated discrete-time state of a continuous-time uncertain linear system from the sampled input and output data. An analogue optimal regional pole-placement design method is used for designing an optimal observer-based analogue controller. A suboptimal observer-based digital controller is then designed from the designed analogue controller using digital redesign technique. To enhance the robustness of parameter identification and state estimation algorithms, a dynamic bound for a class of uncertain bilinear parameters and a fast-rate digital controller are developed at each fast-sampling period. Also, to accommodate computation loads and computation delay for developing the advanced hybrid self-tuner, the designed analogue controller and observer gains are both updated at each slow-sampling period. This control technique has been successfully applied to benchmark control problems.
    Keywords: CYBERNETICS
    Type: IEE Proceedings, Part D - Control Theory and Applications (ISSN 0143-7054); 140; 2; p. 99-110.
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  • 4
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    Observer-based robust-H-infinity control laws for uncertain linear systems (1991)
    In:  Other Sources
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    Publication Date: 2019-07-13
    Description: Based on the algebraic Riccati equation approach, this paper presents a simple and flexible method for designing observer-based robust-H-infinity control laws for linear systems with structured parameter uncertainty. The observer-based robust-H-infinity output-feedback control law, obtained by solving three augmented algebraic Riccati equations, provides both robust stability and disturbance attenuation with H-infinity-norm bound for the closed-loop uncertain linear system. Several tuning parameters are embedded into the augmented algebraic Riccati equations so that flexibility in finding the symmetric positive-definite solutions (and hence, the robust-H-infinity control laws) is significantly increased. A benchmark problem associated with a mass-spring system, which approximates the dynamics of a flexible structure, is used to illustrate the design methodologies, and simulation results are presented.
    Keywords: CYBERNETICS
    Type: AIAA PAPER 91-2688 , AIAA Guidance, Navigation and Control Conference; Aug 12, 1991 - Aug 14, 1991; New Orleans, LA; United States
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  • 5
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    Linear quadratic regulator approach to the stabilization of matched uncertain linear systems (1991)
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    Publication Date: 2019-07-12
    Keywords: CYBERNETICS
    Type: Journal of Guidance, Control, and Dynamics (ISSN 0731-5090); 14; 1074-107
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