... 27 5 27 5 28 8 29 2 3 15 324 331 3 35 337 337 Appendix NMPC Software Supporting This Book A.< /b> 1 The MATLAB NMPC Routine A.< /b> 2 Additional MATLAB and MAPLE Routines A.< /b> 3 The C++ NMPC Software ... important topics beyond stability and performance, like feasibility, robustness, and numerical methods As a < /b> result, this book has become a < /b> mixture between a < /b> research monograph and an advanced textbook ... Teel, A.< /b> R.: Model predictive control: for want of a < /b> local control Lyapunov function, all is not lost IEEE Trans Automat Control 50 (5) , 54 6 55 8 (20 05) 12 Jadbabaie, A.< /b> , Hauser, J.: On the stability...
... partitioned as K note that ⎡ BK T ⎣ BK1 T AT 21 A1< /b> 2A < /b> A11 BK2 T AT 22 ⎤ ⎦ 2. 7 Assume that A < /b> BK is nonnegative and asymptotically stable, and suppose that, ad absurdum, A2< /b> 2 is not asymptotically stable ... that A2< /b> 2 is asymptotically stable Then taking K1 B −1 As − A1< /b> 1 and K2 B −1 A1< /b> 2 , where As is nonnegative and asymptotically stable, it follows that spec A < /b> BK ∩ C1 spec As ∪ spec A2< /b> 2 ∩ C1 Ø, and ... in 2. 4 be partitioned as A < /b> A11 A1< /b> 2 , A2< /b> 1 A2< /b> 2 2.6 where A1< /b> 1 ∈ Rm×m , A1< /b> 2 ∈ Rm× n−m , A2< /b> 1 ∈ R n−m ×m , and A2< /b> 2 ∈ R n−m × n−m are nonnegative matrices 4 Advances in Difference Equations Theorem 2. 4...
... Halanay and V Ionescu, Time-Varying Discrete Linear Systems, Operator Theory: Advances and Applications, vol 68, Birkh¨ user Verlag, Basel, 1994 a < /b> [14] A < /b> Halanay and Vl R˘ svan, Stability and boundary ... Matematicheski˘ Sbornik 16 (1891/1893), 5 82 59 1 (Russian) ı Vladimir R˘ svan: Department of Automatic Control, University of Craiova, Street A < /b> I Cuza no 13, a < /b> RO -20 058 5, Craiova, Romania E-mail ... the American Mathematical Society 24 6 (1978), 1–30 [17] W Kratz, Quadratic Functionals in Variational Analysis and Control Theory, Mathematical Topics, vol 6, Akademie Verlag, Berlin, 19 95 [18]...
... 10th farrowing Only sows born after 19 95 were included in the evaluation and age at first farrowing between 25 0 and 55 0 days was required The analysis was carried out using a < /b> proportional hazards ... life was analyzed for 123 19 Large White sows originating from 838 boars and 4348 dams and for 9833 Landrace sows originating from 457 boars and 22 36 dams Overall survival for both populations ... http://www.gsejournal.org/content/ 42/ 1/13 Page of 13 Table 1: Statistical overview Large White a < /b> Landrace b mean std mean std Parity 4.14 2. 87 4.70 3.03 non-censored 4.31 2. 94 4.81 3.08 censored 3 .55 2. 52 4.09 2. 62 LPL at last...
... backstepping But these approaches are not applicable to nonaffine systems, especially feedback linearization based methods, which greatly depends the a< /b> ne appearance of control variables As a < /b> matter of fact, ... Mr Aswin Thomas Abraham, Dr Brice Rebsamen, Dr Bingbing Liu, Dr Qinghua Xia, Ms Bahareh Ghotbi, Mr Dong Huang and many others that have been part of the team, for the stressful but exciting time ... approximation ability has been developed based on the Stone-Weierstrass theorem, which states that a < /b> universal approximator can approximate, to an arbitrary degree of accuracy, any real continuous...
... may not easily be calculated for state models with nonlinear disturbance noise (Arulampalam et al., 20 02; Ristic et al., 20 04) The Demirba¸ s estimation approaches are more general than grid-based ... must be satisfied by an approximate discrete random variable with n possible values of an absolutely continuous random variable is given (Demirba¸ , 19 82; 1984; 20 10); finally, the s approximate ... discrete random variables of a < /b> Gaussian random variable are tabulated Let w be an m-dimensional random vector An approximate discrete random vector with n possible values of w, denoted by wd ,...
... R J Patton (1998) and Sawada & Tanikawa (20 02) and the book Chen & Patton (1999) Their algorithm recently has been modified by the author in Tanikawa (20 06) (see Tanikawa & Sawada (20 03) also) ... research papers have been published based on the disturbance decoupling principle Pioneering works were done by Darouach et al (Darouach; Zasadzinski; Bassang & Nowakowski (19 95) and Darouach; Zasadzinski ... the mean-square error in an appropriate class of linear filters (see e.g., Kailath (1974), Kailath (1976), Kalman (1960), Kalman (1963) and Katayama (20 00)) But we note that the Kalman filter can...
... Transactions on Automatic Control 51 (8): 1 354 –1 358 Kalman, R E (1960) A < /b> New Approach to Linear Filtering and Prediction Problems, Transactions of the ASME 82 (1): 35- 45 Sayed, A < /b> H (20 01) A < /b> framework ... n×n be a < /b> positive-semidefinite matrix and A < /b> ∈ R n×n be diagonalizable, i.e., it can be written as A < /b> = VDV −1 , ( 155 ) max eig( A)< /b> 2b < 1, ( 156 ) with D diagonal If then, ⎛ ⎞ ∞ Tr ⎝ ∑ b j A < /b> j XA j ⎠ ... more material to buy, a < /b> heavier product) b) Some states are impossible to be physically measured because they are a < /b> mathematically useful representation of the system, such as, the attitude parameterization...
... Shaked (1997); Gershon et al (20 0 4a)< /b> ; Gershon et al (20 0 4b) ; Nakura (20 0 8a)< /b> ; Nakura (20 0 8b) ; Nakura (20 08c); Nakura (20 08d); Nakura (20 08e); Nakura (20 09); Nakura (20 10); Sawada (20 08); Shaked ... As is a < /b> stable polynomial The characteristic polynomial of AS is calculated as the next equation From Eq. (26 ), zE − As can be shown as zE − A < /b> + BE2C G1E2C zE − As = −G2C BH zI − F1 + G1 H BH G1 ... available, d( k ), d0 ( k ) are bounded disturbances, ym ( k ) is the model output The basic assumptions are as follows: Assume that (C , A < /b> , B) is controllable and observable, i.e ⎡ zE − A < /b> ⎤...
... − T − γ 2 AT X∞ B1 U 1B1 X∞ B2 U 1B2 U A < /b> + γ 2 ATU B2 U 1B2 X∞ B1 U 1B1 X∞ B2 U 1B2 U A)< /b> − − T − T − T = ( A < /b> − B2 U 1BTU A)< /b> T X∞ ( A < /b> − B2 U 1B2 U A)< /b> + (C − D12U 1B2 U A)< /b> T (C − D12U 1B2 U A)< /b> − T − T ... X∞ B2 U 1B2 U A < /b> + ATU B2 U 1B2 X∞ B2 U 1B2 U A)< /b> T − − T − − T + (C C + ATU B2 U 1U 1B2 U A)< /b> + ATU B2 U RU 1B2 U A < /b> + Q − T − T − T + (γ 2 AT X∞ B1 U 1B1 X∞ A < /b> − γ 2 ATU B2 U 1B2 X∞ B1 U1 1B1 X∞ A < /b> − T − ... ) A < /b> − T − T − AT ( X∞ + γ 2 X∞ B1 U 1B1 X∞ )B2 U 1B2 U A < /b> T − T − − T + ATU B2 U 1[ R + I + B2 ( X∞ + γ 2 X∞ B1 U1 1B1 X∞ )B2 ]U 1B2 U A < /b> − T − T − T − T = ( AT X∞ A < /b> − ATU B2 U 1B2 X∞ A < /b> − AT X∞ B2 U...
... ATU B2 U 1B2 U A < /b> This implies that (21 ) can be rewritten as − T T − T T AT X∞ A < /b> − X∞ + γ 2 AT X∞ B1 U 1B1 X∞ A < /b> + C C + Qδ − ATU 3B2 U 1B2 U A < /b> + ρ EK EK = ( 25 ) Thus, it follows from (24 ) and ( 25 ) ... T T T T T = AT X∞ A < /b> − X∞ + γ 2 AT X∞ B1 U1 1B1 X∞ A < /b> + C C + Q + F∞ B2 U A < /b> + ATU B2 F∞ + F∞ U F∞ (22 ) − T − T T = AT X∞ A < /b> − X∞ + γ 2 AT X∞ B1 U1 1B1 X∞ A < /b> + C C + Q − ATU B2 U 1B2 U A < /b> + ΔN T T where, ... Problems − T ˆ ˆ ˆ ˆ ˆ Note that A < /b> − B( BT X∞ B + R )−1 BT X∞ A < /b> = AF∞ + γ 2 B1 U 1B1 X∞ AF∞ is stable and ΔF( k ) is an − T admissible uncertainty, we get that AF + γ 2 BF U1 1BF X∞ AF is stable...
... uncertainty can be dealt with by feedback?, IEEE Transactions on Automatic Control 45( 12) : 22 03 22 17 22 8 Discrete Time Systems Xu, J.-X & Huang, D (20 09) Discrete-time adaptive control for a < /b> class ... C (20 01) Robust adaptive control of nonlinear discrete-time systems by backstepping without overparameterization, Automatica 37(4): 55 1 – 55 8 Zhang, Y X & Guo, L (20 02) A < /b> limit to the capability ... Control and Automation, Hangzhou China, June 20 04, Vol 2, pp 1 52 1 -1 52 4 D Zhang, Z Wang, and S Hu Robust satisfactory fault-tolerant control of uncertain linear discrete-time systems: an LMI approach,...
... following basic problem: Is it possible for all of the agents to achieve a < /b> global goal based on the local information and local control? Here the global goal may refer to global stability, synchronization, ... uncertainty can be dealt with by feedback?, IEEE Transactions on Automatic Control 45( 12) : 22 03 22 17 Yang, C., Dai, S.-L., Ge, S S & Lee, T H (20 09) Adaptive asymptotic tracking control of a < /b> class ... exogenous perturbations 3.3 Sampled-data model Usually, sampled-data behavior can be modelled by n-steps-ahead predictors (Jordán & Bustamante, 20 0 9a)< /b> Accordingly, we attempt now to translate the continuous...
... together by means of a < /b> visualization program (see a < /b> photogram in Fig 2) The units for the path run away are in meters Basically the vehicle turns around a < /b> planar path At a < /b> certain coordinate A < /b> it leaves ... Perturbed Measures for Complex Dynamics - Case Study: Unmanned Underwater Vehicles 27 5 and the mass variations are MbΔ+ = diag(10, 10, 10, 0. 6 25 0, 4 .22 50 , 3.6) (86) MbΔ− = diag (20 , 20 , 20 , 1 . 25 , ... the body matrix Mb and the additive matrix Ma given by Mb = Mbn + δ(t − t A < /b> ) MbΔ+ − δ(t − t B ) MbΔ− (83) Ma = Man + δ(t − t A < /b> ) MaΔ+ − δ(t − t B ) MaΔ− , (84) where Mbn and Man are nominal values...
... R p×n , a < /b> scalar variable θ ∈]0, 1] and for a < /b> given μ = 2 such that ⎡ ˜ T ˜ T Am F11 Am F 12 P11i − F11 − F11 P12i − F 12 − Λ T F 22 T ˜ ⎢ P22i − F 22 − F 22 ( Ai F 22 + Bi W )Λ Ai F 22 + Bi W ⎢ ⎢ ... with A1< /b> and ˜ ˜ ˜ ˜ ˜ Ad1 given by ( 35) and A2< /b> = 1.1 A1< /b> and Ad2 = 1.1 Ad1 In this case the conditions of Boukas (20 06) are no longer applicable and those from Liu et al (20 06) are not directly applied, ... −0. 124 72 ⎥ ⎥ ⎢ B = B0 = ⎢ 0 .29 469 0.31 52 8 1.16 420 −0 .29 922 0 .23 883 ⎥ , ⎥ ⎢ ⎣ −0 .20 191 0.19739 0.41686 0.6 655 1 0.11366 ⎦ −0.118 35 0.1 628 7 0 .20 378 0 .23 261 0.36 52 5 ⎡ (58 ) (59 ) and C = D = I5 , Cd = 0,...