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Keywords:
descriptor systems; $H_{\infty }$ observer; linear matrix inequalities~(LMIs); output filtering method
descriptor systems; $H_{\infty }$ observer; linear matrix inequalities~(LMIs); output filtering method
Summary:
In this paper, a robust $H_{\infty}$ observer design method is proposed for a class of nonlinear descriptor systems subject to measurement noise and unknown disturbances. Specifically, a novel augmented system is constructed based on the output filtering method. Next, an observer resisting measurement noise is presented and the state estimation error system is derived. The observer parameters are parameterized by employing the generalized inverse technique for matrices. Finally, sufficient conditions ensuring the asymptotic stability of the state estimation error system with the $H_{\infty}$ performance index are derived on the basis of the linear matrix inequalities (LMIs). Compared to the conventional robust $H_{\infty}$ observers, simulation results demonstrate that the proposed method alleviates the adverse effects of measurement noise on the state estimation and results in smaller estimation errors.
References:
[1] Alma, M., Darouach, M., Ali, H. S.: Adaptive observer design for a class of nonlinear descriptor systems. Automatica 155 (2023), 111143. DOI
[2] Chan, J. C. L., Lee, T. H.: Observer-based fault-tolerant control for non-infinitely observable descriptor systems with unknown time-varying state and input delays. Appl. Math. Comput. 430 (2022), 127230. DOI
[3] Chang, Y., Zhou, F., Yan, H., Huang, W., Luo, G.: Noise and interference suppression control method of DC-DC buck converters based on cascaded filter LADRC. Int. J.Control Automat. Systems 22 (2024), 5, 1526-1536. DOI
[4] Dai, L.: Singular Control Systems. Springer, Berlin Heidelberg 1989. DOI
[5] Darouach, M., Boutat-Baddas, L., Zerrougui, M.: $H_{\infty}$ observers design for a class of nonlinear singular systems. Automatica 47 (2011), 11, 2517-2525. DOI
[6] Darouach, M., Boutat-Baddas, L.: Adaptive observers design for a class of linear descriptor systems. Automatica 50 (2014), 2, 578-583. DOI
[7] Du, Y., Cao, W., She, J.: Analysis and design of active disturbance rejection control with an improved extended state observer for systems with measurement noise. IEEE Trans. Industr. Electronics 70 (2023), 1, 855-865. DOI
[8] Gao, Z., Ho, D. W. C.: Proportional multiple-integral observer design for descriptor systems with measurement output disturbances. IEE Proc. - Control Theory Appl. 151 (2004), 3, 279-288. DOI
[9] Gupta, M. K., Tomar, N. K., Darouach, M.: Unknown inputs observer design for descriptor systems with monotone nonlinearities. Int. J. Robust Nonlinear Control 28 (2018), 17, 5481-5494. DOI
[10] Harshavarthini, S., Gomathi, D., Lee, S.-M.: Stabilization with unknown-input estimation for time-delayed systems using functional-observer-based feedback control design. J. Franklin Inst- 361 (2024), 8, 106794. DOI
[11] Houda, K., Saifia, D., Chadli, M., Labiod, S.: Unknown input observer based robust control for fuzzy descriptor systems subject to actuator saturation. Math. Comput. Simul. 203 (2023), 150-173. DOI
[12] Jalali, S. M. S., Kalat, A. A.: A generalized dynamic robust observer for uncertain linear time invariant descriptor systems. ISA Trans. 134 (2023), 226-237. DOI
[13] Kalman, R.: A new approach to linear filtering and prediction problems. ASME J. Basic Engrg.82 (1960), 35-45. DOI
[14] Lakomy, K., Madonski, R., Dai, B., Yang, J.: Active disturbance rejection control design with suppression of sensor noise effects in application to DC–DC buck power converter. IEEE Trans. Industr. Electronics 69 (2022), 1, 816-824. DOI
[15] Li, H., Zhou, B., Michiels, W.: Prescribed-time unknown input observers design for singular systems: a periodic delayed output approach. IEEE Trans. Systems Man Cybernetics: Systems 54 (2024), 2, 741-751. DOI
[16] Li, H., Zhou, B., Michiels, W.: Prescribed-time sensor fault estimation for linear systems with unknown inputs by periodic delayed observers. Int. J. Robust Nonlinear Control 34 (2024), 10, 6636-6658. DOI
[17] Li, J., Zhai, D.: A descriptor regular form-based approach to observer-based integral sliding mode controller design. Int. J. Robust Nonlinear Control 31 (2021), 11, 5134-5148. DOI
[18] Liu, L., Wen, Q., Li, Y., Fu, D., Cai, X.: Stubborn state and disturbance observer co-design for nonlinear descriptor systems with $\delta$QC via a dynamic event-triggered mechanism. Int. J.Robust Nonlinear Control 35 (2025), 2, 617-629. DOI
[19] Liu, L.-W., Xie, W., Zhang, L.-W.: A difference-algebraic interval observer design for perturbed discrete-time descriptor systems. European J. Control 69 (2023), 100762. DOI
[20] Liu, L.-W., Xie, W., Zhang, L.-W.: Reduced-order interval observer design for continuous-time descriptor LPV systems with uncertainties. Int. J. Control 96 (2023), 10, 2515-2526. DOI
[21] Liu, P., Zhang, Q., Yang, X., Yang, L.: Passivity and optimal control of descriptor biological complex systems. IEEE Trans. Automat. Control 53 (2008), Special Issue, 122-125. DOI
[22] Mohite, S., Alma, M., Zemouche, A.: Toward enhancing nonlinear observers for lipschitz system: exploiting the matrix multipliers-based LMIs. Int. J. Robust Nonlinear Control 34 (2024), 15, 10799-10820. DOI
[23] Mu, Y., Zhang, H., Yan, Y., Wu, Z.: A design framework of nonlinear $H_{\infty}$ PD observer for one-sided lipschitz singular systems with disturbances. IEEE Trans. Circuits Systems II: Express Briefs 69 (2022), 7, 3304-3308. DOI
[24] Nguyen, C. M., Nguyen, A.-T., Delprat, S.: Cascade Takagi-Sugeno fuzzy observer design for nonlinear uncertain systems with unknown inputs: a sliding mode approach. Int. J. Robust Nonlinear Control 33 (2023), 15, 9066-9083. DOI
[25] Su, G., Wang, Z.: Joint estimation of state and unknown input for nonlinear interconnected systems based on multiple intermediate estimator. IEEE Trans. Circuits Systems II: Express Briefs 70 (2023), 8, 2914-2918. DOI
[26] Sun, L., Feng, G., Wang, Y.: Finite-time stabilization and $H_{\infty}$ control for a class of nonlinear hamiltonian descriptor systems with application to affine nonlinear descriptor systems. Automatica 50 (2014), 8, 2090-2097. DOI
[27] Tunga, P. K., Jaiswal, J., Tomar, N. K.: Functional observers for descriptor systems with unknown inputs. IEEE Access 11 (2023), 19680-19689. DOI
[28] Xu, S., Lam, J., Zou, Y.: $H_{\infty}$ filtering for singular systems. IEEE Transactions on Automatic Control 48 (2003), 12, 2217-2222. DOI
[29] Xu, S., Huang, W., Huang, D., Chen, H., Chai, Y., Ma, M., Zheng, W. X.: A reduced-order observer-based method for simultaneous diagnosis of open-switch and current sensor faults of a grid-tied NPC inverter. IEEE Trans. Power Electronics 38 (2023), 7, 9019-9032. DOI
[30] Zames, G.: Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms, and approximate inverses. IEEE Transactions on Automatic Control 26 (1981), 2, 301-320. DOI
[31] Zhong, Z., Lam, H.-K., Basin, M. V., Zeng, X.-J.: Fuzzy neural network-based adaptive sliding-mode descriptor observer. IEEE Trans. Fuzzy Systems 32 (2024), 6, 3342-3354. DOI
[32] Zhu, F., Zhang, J., Guo, S., Wang, Y., Serrani, A.: Joint unknown input observer for descriptor system based on interval observer. ISA Trans. 151 (2024), 153-163. DOI
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