Bertolin, Ariádne L. J.; Oliveira, Ricardo C. L. F.; Valmorbida, Giorgio; Peres, Pedro L. D. Control design of uncertain discrete-time Lur’e systems with sector and slope bounded nonlinearities. (English) Zbl 1528.93056 Int. J. Robust Nonlinear Control 32, No. 12, 7001-7015 (2022). MSC: 93B52 93D05 93C55 93C41 PDFBibTeX XMLCite \textit{A. L. J. Bertolin} et al., Int. J. Robust Nonlinear Control 32, No. 12, 7001--7015 (2022; Zbl 1528.93056) Full Text: DOI
Spagolla, Amanda; Lemaire, Álvaro A.; Morais, Cecília F.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. Robust \(\mathcal{H}_2\) and \(\mathcal{H}_\infty\) control for positive continuous-time uncertain linear systems. (English) Zbl 1491.93034 J. Franklin Inst. 359, No. 10, 4842-4855 (2022). MSC: 93B36 93C28 93C41 93C05 PDFBibTeX XMLCite \textit{A. Spagolla} et al., J. Franklin Inst. 359, No. 10, 4842--4855 (2022; Zbl 1491.93034) Full Text: DOI
Agulhari, Cristiano M.; Felipe, Alexandre; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. Algorithm 998: The robust LMI parser – a toolbox to construct LMI conditions for uncertain systems. (English) Zbl 1486.65063 ACM Trans. Math. Softw. 45, No. 3, Article No. 36, 25 p. (2019). MSC: 65K10 PDFBibTeX XMLCite \textit{C. M. Agulhari} et al., ACM Trans. Math. Softw. 45, No. 3, Article No. 36, 25 p. (2019; Zbl 1486.65063) Full Text: DOI
Morais, Cecília F.; Braga, Márcio F.; Tognetti, Eduardo S.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. Digital redesign of analogue dynamic output-feedback controllers for polytopic systems. (English) Zbl 1421.93084 Int. J. Control 92, No. 8, 1764-1777 (2019). MSC: 93C62 93C57 93B52 93C41 PDFBibTeX XMLCite \textit{C. F. Morais} et al., Int. J. Control 92, No. 8, 1764--1777 (2019; Zbl 1421.93084) Full Text: DOI
Morais, Cecília F.; Palma, Jonathan M.; Peres, Pedro L. D.; Oliveira, Ricardo C. L. F. An LMI approach for \(\mathcal{H}_2\) and \(\mathcal{H}_\infty\) reduced-order filtering of uncertain discrete-time Markov and Bernoulli jump linear systems. (English) Zbl 1402.93248 Automatica 95, 463-471 (2018). MSC: 93E11 93E10 93B36 93C55 60J75 93C05 PDFBibTeX XMLCite \textit{C. F. Morais} et al., Automatica 95, 463--471 (2018; Zbl 1402.93248) Full Text: DOI
Lacerda, Márcio J.; Tognetti, Eduardo S.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. A new approach to handle additive and multiplicative uncertainties in the measurement for \(\mathcal{H}_\infty\) LPV filtering. (English) Zbl 1333.93242 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 47, No. 5, 1042-1053 (2016). MSC: 93E11 93E10 93B36 93C05 PDFBibTeX XMLCite \textit{M. J. Lacerda} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 47, No. 5, 1042--1053 (2016; Zbl 1333.93242) Full Text: DOI
Morais, Cecília F.; Braga, Márcio F.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. \(H_{\infty}\) and \(H_2\) control design for polytopic continuous-time Markov jump linear systems with uncertain transition rates. (English) Zbl 1332.93110 Int. J. Robust Nonlinear Control 26, No. 3, 599-612 (2016). MSC: 93B36 60J75 93E03 93B52 93C05 PDFBibTeX XMLCite \textit{C. F. Morais} et al., Int. J. Robust Nonlinear Control 26, No. 3, 599--612 (2016; Zbl 1332.93110) Full Text: DOI
Morais, Cecília F.; Braga, Márcio F.; Lacerda, Márcio J.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. \(\mathcal{H}_2\) and \(\mathcal{H}_\infty\) filter design for polytopic continuous-time Markov jump linear systems with uncertain transition rates. (English) Zbl 1330.93229 Int. J. Adapt. Control Signal Process. 29, No. 10, 1207-1223 (2015). MSC: 93E11 93E10 60J75 93B36 PDFBibTeX XMLCite \textit{C. F. Morais} et al., Int. J. Adapt. Control Signal Process. 29, No. 10, 1207--1223 (2015; Zbl 1330.93229) Full Text: DOI
Braga, Márcio F.; Morais, Cecília F.; Tognetti, Eduardo S.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. Discretization and event triggered digital output feedback control of LPV systems. (English) Zbl 1325.93031 Syst. Control Lett. 86, 54-65 (2015). MSC: 93B52 93C55 93B17 93C57 PDFBibTeX XMLCite \textit{M. F. Braga} et al., Syst. Control Lett. 86, 54--65 (2015; Zbl 1325.93031) Full Text: DOI Link
Tognetti, Eduardo S.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. \(\mathcal{H}_\infty\) and \(\mathcal{H}_2\) nonquadratic stabilisation of discrete-time Takagi-Sugeno systems based on multi-instant fuzzy Lyapunov functions. (English) Zbl 1317.93163 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 1, 76-87 (2015). MSC: 93C42 93D15 93C55 93B51 PDFBibTeX XMLCite \textit{E. S. Tognetti} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 46, No. 1, 76--87 (2015; Zbl 1317.93163) Full Text: DOI
Morais, Cecília F.; Braga, Márcio F.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. \(\mathcal{H}_\infty\) state feedback control for MJLS with uncertain probabilities. (English) Zbl 1309.93147 Automatica 52, 317-321 (2015). MSC: 93E03 93B52 93B36 60J75 PDFBibTeX XMLCite \textit{C. F. Morais} et al., Automatica 52, 317--321 (2015; Zbl 1309.93147) Full Text: DOI
Braga, Márcio F.; Morais, Cecília F.; Tognetti, Eduardo S.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. Discretisation and control of polytopic systems with uncertain sampling rates and network-induced delays. (English) Zbl 1308.93131 Int. J. Control 87, No. 11, 2398-2411 (2014). MSC: 93C55 93C05 93C57 PDFBibTeX XMLCite \textit{M. F. Braga} et al., Int. J. Control 87, No. 11, 2398--2411 (2014; Zbl 1308.93131) Full Text: DOI
Lacerda, Márcio J.; Tarbouriech, Sophie; Garcia, Germain; Peres, Pedro L. D. \(\mathcal{H}_\infty\) filter design for nonlinear polynomial systems. (English) Zbl 1290.93188 Syst. Control Lett. 70, 77-84 (2014). MSC: 93E11 93B36 93C10 93D30 PDFBibTeX XMLCite \textit{M. J. Lacerda} et al., Syst. Control Lett. 70, 77--84 (2014; Zbl 1290.93188) Full Text: DOI
De Caigny, J.; Camino, J. F.; Oliveira, R. C. L. F.; Peres, P. L. D.; Swevers, J. Gain-scheduled dynamic output feedback control for discrete-time LPV systems. (English) Zbl 1273.93076 Int. J. Robust Nonlinear Control 22, No. 5, 535-558 (2012). MSC: 93B52 93C55 93B36 PDFBibTeX XMLCite \textit{J. De Caigny} et al., Int. J. Robust Nonlinear Control 22, No. 5, 535--558 (2012; Zbl 1273.93076) Full Text: DOI
Lacerda, Márcio J.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. Robust \(\mathcal H_{2}\) and \(\mathcal H_{\infty}\) filter design for uncertain linear systems via LMIs and polynomial matrices. (English) Zbl 1222.93127 Signal Process. 91, No. 5, 1115-1122 (2011). MSC: 93C41 93C05 93B36 PDFBibTeX XMLCite \textit{M. J. Lacerda} et al., Signal Process. 91, No. 5, 1115--1122 (2011; Zbl 1222.93127) Full Text: DOI
Moreira, Heber R.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. Robust \(\mathcal H_{2}\) static output feedback design starting from a parameter-dependent state feedback controller for time-invariant discrete-time polytopic systems. (English) Zbl 1213.93065 Optim. Control Appl. Methods 32, No. 1, 1-13 (2011). MSC: 93B52 93B51 93C55 93D30 93B40 PDFBibTeX XMLCite \textit{H. R. Moreira} et al., Optim. Control Appl. Methods 32, No. 1, 1--13 (2011; Zbl 1213.93065) Full Text: DOI
de Oliveira, Maurício C.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. A new method for robust Schur stability analysis. (English) Zbl 1214.93078 Int. J. Control 83, No. 10, 2181-2192 (2010). MSC: 93D09 93B60 93D30 PDFBibTeX XMLCite \textit{M. C. de Oliveira} et al., Int. J. Control 83, No. 10, 2181--2192 (2010; Zbl 1214.93078) Full Text: DOI
Borges, Renato A.; Oliveira, Ricardo C. L. F.; Abdallah, Chaouki T.; Peres, Pedro L. D. A BMI approach for \({\mathcal H}_\infty\) gain scheduling of discrete time-varying systems. (English) Zbl 1200.93048 Int. J. Robust Nonlinear Control 20, No. 11, 1255-1268 (2010). MSC: 93B52 93C55 93D30 93B36 93C05 PDFBibTeX XMLCite \textit{R. A. Borges} et al., Int. J. Robust Nonlinear Control 20, No. 11, 1255--1268 (2010; Zbl 1200.93048) Full Text: DOI
Borges, Renato A.; Oliveira, Ricardo C. L. F.; Abdallah, Chaouki T.; Peres, Pedro L. D. \(\mathcal H_{\infty }\) filtering for discrete-time linear systems with bounded time-varying parameters. (English) Zbl 1177.94052 Signal Process. 90, No. 1, 282-291 (2010). MSC: 94A12 93B36 PDFBibTeX XMLCite \textit{R. A. Borges} et al., Signal Process. 90, No. 1, 282--291 (2010; Zbl 1177.94052) Full Text: DOI
Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. Time-varying discrete-time linear systems with bounded rates of variation: stability analysis and control design. (English) Zbl 1180.93084 Automatica 45, No. 11, 2620-2626 (2009). MSC: 93D09 93B52 93C55 93C05 PDFBibTeX XMLCite \textit{R. C. L. F. Oliveira} and \textit{P. L. D. Peres}, Automatica 45, No. 11, 2620--2626 (2009; Zbl 1180.93084) Full Text: DOI
Montagner, V. F.; Oliveira, R. C. L. F.; Calliero, T. R.; Borges, R. A.; Peres, P. L. D.; Prieur, C. Robust absolute stability and nonlinear state feedback stabilization based on polynomial Lur’e functions. (English) Zbl 1155.93408 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 5, 1803-1812 (2009). MSC: 93D09 93D21 93C15 93C10 PDFBibTeX XMLCite \textit{V. F. Montagner} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 5, 1803--1812 (2009; Zbl 1155.93408) Full Text: DOI HAL
De Oliveira, M. C.; Oliveira, R. C. L. F.; Peres, P. L. D. Robust \(H_{\infty }\) performance using lifted polynomial parameter-dependent Lyapunov functions. (English) Zbl 1152.93360 Int. J. Control 81, No. 7, 1089-1101 (2008). MSC: 93B36 93C10 PDFBibTeX XMLCite \textit{M. C. De Oliveira} et al., Int. J. Control 81, No. 7, 1089--1101 (2008; Zbl 1152.93360) Full Text: DOI
Oliveira, Ricardo C. L. F.; de Oliveira, Maurício C.; Peres, Pedro L. D. Convergent LMI relaxations for robust analysis of uncertain linear systems using lifted polynomial parameter-dependent Lyapunov functions. (English) Zbl 1140.93453 Syst. Control Lett. 57, No. 8, 680-689 (2008). MSC: 93D09 93B35 93C05 93C41 93C15 PDFBibTeX XMLCite \textit{R. C. L. F. Oliveira} et al., Syst. Control Lett. 57, No. 8, 680--689 (2008; Zbl 1140.93453) Full Text: DOI
Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. LMI conditions for robust stability analysis based on polynomially parameter-dependent Lyapunov functions. (English) Zbl 1129.93485 Syst. Control Lett. 55, No. 1, 52-61 (2006). MSC: 93D09 93B40 PDFBibTeX XMLCite \textit{R. C. L. F. Oliveira} and \textit{P. L. D. Peres}, Syst. Control Lett. 55, No. 1, 52--61 (2006; Zbl 1129.93485) Full Text: DOI
Montagner, V. F.; Leite, V. J. S.; Oliveira, R. C. L. F.; Peres, P. L. D. State feedback control of switched linear systems: an LMI approach. (English) Zbl 1161.93336 J. Comput. Appl. Math. 194, No. 2, 192-206 (2006). MSC: 93D15 93B40 93B52 65F10 PDFBibTeX XMLCite \textit{V. F. Montagner} et al., J. Comput. Appl. Math. 194, No. 2, 192--206 (2006; Zbl 1161.93336) Full Text: DOI
Oliveira, Ricardo C. L. F.; Peres, Pedro L. D. Stability of polytopes of matrices via affine parameter-dependent Lyapunov functions: asymptotically exact LMI conditions. (English) Zbl 1099.93037 Linear Algebra Appl. 405, 209-228 (2005). MSC: 93D09 34D20 93C05 PDFBibTeX XMLCite \textit{R. C. L. F. Oliveira} and \textit{P. L. D. Peres}, Linear Algebra Appl. 405, 209--228 (2005; Zbl 1099.93037) Full Text: DOI
Leite, Valter J. S.; Peres, Pedro L. D. Robust control through piecewise Lyapunov functions for discrete time-varying uncertain systems. (English) Zbl 1067.93053 Int. J. Control 77, No. 3, 230-238 (2004). Reviewer: Vladimir Răsvan (Craiova) MSC: 93D21 93C55 39A11 93D30 15A39 PDFBibTeX XMLCite \textit{V. J. S. Leite} and \textit{P. L. D. Peres}, Int. J. Control 77, No. 3, 230--238 (2004; Zbl 1067.93053) Full Text: DOI
Montagner, Vinícius F.; Peres, Pedro L. D. Robust stability and \({\mathcal H}_\infty\) performance of linear time-varying systems in polytopic domains. (English) Zbl 1059.93107 Int. J. Control 77, No. 15, 1343-1352 (2004). Reviewer: Didier Henrion (Toulouse) MSC: 93D09 93C05 93B35 93B40 15A39 93D30 PDFBibTeX XMLCite \textit{V. F. Montagner} and \textit{P. L. D. Peres}, Int. J. Control 77, No. 15, 1343--1352 (2004; Zbl 1059.93107) Full Text: DOI
de Oliveira, P. J.; Oliveira, R. C. L. F.; Leite, V. J. S.; Montagner, V. F.; Peres, P. L. D. \({\mathcal H}_2\) guaranteed cost computation by means of parameter dependent Lyapunov functions. (English) Zbl 1056.93021 Int. J. Syst. Sci. 35, No. 5, 305-315 (2004). Reviewer: Didier Henrion (Toulouse) MSC: 93B40 93D09 15A39 93D30 PDFBibTeX XMLCite \textit{P. J. de Oliveira} et al., Int. J. Syst. Sci. 35, No. 5, 305--315 (2004; Zbl 1056.93021) Full Text: DOI
de Oliveira, P. J.; Oliveira, R. C. L. F.; Leite, V. J. S.; Montagner, V. F.; Peres, P. L. D. \(\mathcal H_{\infty}\) guaranteed cost computation by means of parameter-dependent Lyapunov functions. (English) Zbl 1110.93021 Automatica 40, No. 6, 1053-1061 (2004). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 93B36 93D30 15A39 PDFBibTeX XMLCite \textit{P. J. de Oliveira} et al., Automatica 40, No. 6, 1053--1061 (2004; Zbl 1110.93021) Full Text: DOI
Ramos, D. C. W.; Peres, P. L. D. A less conservative LMI condition for the robust stability of discrete-time uncertain systems. (English) Zbl 0974.93048 Syst. Control Lett. 43, No. 5, 371-378 (2001). MSC: 93D09 93C55 15A39 93D30 93B40 PDFBibTeX XMLCite \textit{D. C. W. Ramos} and \textit{P. L. D. Peres}, Syst. Control Lett. 43, No. 5, 371--378 (2001; Zbl 0974.93048) Full Text: DOI
Palhares, Reinaldo M.; Peres, Pedro L. D. Robust \(\mathcal{H}_\infty\) filter design with pole constraints for discrete-time systems. (English) Zbl 0994.93060 J. Franklin Inst. 337, No. 6, 713-723 (2000). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 93E11 93C55 15A39 PDFBibTeX XMLCite \textit{R. M. Palhares} and \textit{P. L. D. Peres}, J. Franklin Inst. 337, No. 6, 713--723 (2000; Zbl 0994.93060) Full Text: DOI
Palhares, R. M.; Peres, P. L. D. Robust \({\mathcal H}_\infty\)-filtering design with pole placement constraint via linear matrix inequalities. (English) Zbl 0941.93018 J. Optimization Theory Appl. 102, No. 2, 239-261 (1999). Reviewer: M.M.Konstantinov (Sofia) MSC: 93B36 93B55 15A39 PDFBibTeX XMLCite \textit{R. M. Palhares} and \textit{P. L. D. Peres}, J. Optim. Theory Appl. 102, No. 2, 239--261 (1999; Zbl 0941.93018) Full Text: DOI
Palhares, Reinaldo M.; Takahashi, Ricardo H. C.; Peres, Pedro L. D. \({\mathcal H}_\infty\) and \({\mathcal H}_2\) guaranteed costs computation for uncertain linear systems. (English) Zbl 0922.93014 Int. J. Syst. Sci. 28, No. 2, 183-188 (1997). MSC: 93B36 15A39 PDFBibTeX XMLCite \textit{R. M. Palhares} et al., Int. J. Syst. Sci. 28, No. 2, 183--188 (1997; Zbl 0922.93014) Full Text: DOI
Geromel, J. C.; Bernussou, J.; Peres, P. L. D. Decentralized control through parameter space optimization. (English) Zbl 0816.93036 Automatica 30, No. 10, 1565-1578 (1994). MSC: 93B51 93C05 93A14 90C25 PDFBibTeX XMLCite \textit{J. C. Geromel} et al., Automatica 30, No. 10, 1565--1578 (1994; Zbl 0816.93036) Full Text: DOI
Peres, P. L. D.; Geromel, J. C.; Souza, S. R. Optimal \({\mathcal H}_ \infty\)-state feedback control for continuous-time linear systems. (English) Zbl 0804.49028 J. Optimization Theory Appl. 82, No. 2, 343-359 (1994). MSC: 90C25 93C05 PDFBibTeX XMLCite \textit{P. L. D. Peres} et al., J. Optim. Theory Appl. 82, No. 2, 343--359 (1994; Zbl 0804.49028) Full Text: DOI
Peres, P. L. D.; Geromel, J. C.; Souza, S. R. \(\mathcal H_ \infty\) guaranteed cost control for uncertain continuous-time linear systems. (English) Zbl 0784.93074 Syst. Control Lett. 20, No. 6, 413-418 (1993). MSC: 93C99 93C05 PDFBibTeX XMLCite \textit{P. L. D. Peres} et al., Syst. Control Lett. 20, No. 6, 413--418 (1993; Zbl 0784.93074) Full Text: DOI
Peres, P. L. D.; Geromel, J. C. \({\mathcal H}_ 2\) control for discrete-time systems optimality and robustness. (English) Zbl 0782.49022 Automatica 29, No. 1, 225-228 (1993). MSC: 49N10 93C55 93B35 90C25 93C05 PDFBibTeX XMLCite \textit{P. L. D. Peres} and \textit{J. C. Geromel}, Automatica 29, No. 1, 225--228 (1993; Zbl 0782.49022) Full Text: DOI
Peres, P. L. D.; Geromel, J. C.; Bernussou, J. Quadratic stabilizability of linear uncertain systems in convex-bounded domains. (English) Zbl 0772.93063 Automatica 29, No. 2, 491-493 (1993). MSC: 93D05 93C55 PDFBibTeX XMLCite \textit{P. L. D. Peres} et al., Automatica 29, No. 2, 491--493 (1993; Zbl 0772.93063) Full Text: DOI
Geromel, J. C.; Peres, P. L. D.; Souza, S. R. \({\mathcal H}_ 2\) guaranteed cost control for uncertain discrete-time linear systems. (English) Zbl 0772.93054 Int. J. Control 57, No. 4, 853-864 (1993). MSC: 93C55 93C05 PDFBibTeX XMLCite \textit{J. C. Geromel} et al., Int. J. Control 57, No. 4, 853--864 (1993; Zbl 0772.93054) Full Text: DOI
Geromel, J. C.; Peres, P. L. D.; Souza, S. R. \({\mathcal H}_ 2\) guaranteed cost control for uncertain continuous-time linear systems. (English) Zbl 0765.93052 Syst. Control Lett. 19, No. 1, 23-27 (1992). MSC: 93C99 93C05 PDFBibTeX XMLCite \textit{J. C. Geromel} et al., Syst. Control Lett. 19, No. 1, 23--27 (1992; Zbl 0765.93052) Full Text: DOI
Bernussou, J.; Peres, P. L. D.; Geromel, J. C. A linear programming oriented procedure for quadratic stabilization of uncertain systems. (English) Zbl 0678.93042 Syst. Control Lett. 13, No. 1, 65-72 (1989). MSC: 93D15 93B35 90C05 65K05 93C05 PDFBibTeX XMLCite \textit{J. Bernussou} et al., Syst. Control Lett. 13, No. 1, 65--72 (1989; Zbl 0678.93042) Full Text: DOI