Linear Matrix Inequality Approach to Robust Emergency Lateral Control of a Highway Vehicle With Time-Varying Uncertainties.

[1]  C. Storey,et al.  Matrix methods in stability theory , 1972, The Mathematical Gazette.

[2]  A. Tits,et al.  Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics , 1991 .

[3]  Tetsuya Iwasaki,et al.  A unified approach to fixed-order controller design via linear matrix inequalities , 1995 .

[4]  Keith Glover,et al.  Mixed H-2 and H-infinity performance objectives I: robust performance analysis , 1994 .

[5]  B. Barmish.  Necessary and sufficient conditions for quadratic stabilizability of an uncertain system , 1985 .

[6]  R. Yedavalli,et al.  Reduced conservatism in stability robustness bounds by state transformation , 1986 .

[7]  Brian D. O. Anderson,et al.  On eigenvalues of complex matrices in a sector , 1975 .

[8]  Tsu-Tian Lee,et al.  On optimal pole assignment in a specified region , 1984 .

[9]  I. Masubuchi,et al.  LMI-based output feedback controller design-using a convex parametrization of full-order controllers , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[10]  W. M. Grimm,et al.  Comments on "Reduced conservatism in stability robustness bounds by state transformation" [with reply] , 1988 .

[11]  W. E. Schmitendorf,et al.  Designing Stabilizing Controllers for Uncertain Systems using the Riccati Equation Approach , 1987, 1987 American Control Conference.

[12]  P. Khargonekar,et al.  Robust stabilization of linear systems with norm-bounded time-varying uncertainty , 1988 .

[13]  Rama K. Yedavalli,et al.  Robust root clustering for linear uncertain systems using generalized lyapunov theory , 1993, Autom..

[14]  Denis Arzelier,et al.  Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty , 1994 .

[15]  Faryar Jabbari,et al.  Robustness bounds for linear systems with uncertainty: Keeping eigenvalues in specified regions , 1990, 29th IEEE Conference on Decision and Control.

[16]  J. Ackermann.  Parameter space design of robust control systems , 1980 .

[17]  Alexander Graham,et al.  Kronecker Products and Matrix Calculus: With Applications , 1981 .

[18]  Michael J. Todd,et al.  The Ellipsoid Method: A Survey , 1980 .

[19]  K. Wei.  Quadratic stabilizability of linear systems with structural independent time-varying uncertainties , 1990 .

[20]  Yau-Tarng Juang,et al.  Eigenvalue assignment robustness for systems with structured perturbations , 1993, IEEE Trans. Autom. Control..

[21]  M.K.H. Fan,et al.  An algorithm on minimizing generalized eigenvalues with linear matrix inequality constraints , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[22]  P. Peres,et al.  Optimal H/sub 2/ control by output feedback , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[23]  Germain Garcia,et al.  Pole assignment for uncertain systems in a specified disk by output feedback , 1996, Math. Control. Signals Syst..

[24]  Jose A. Romagnoli,et al.  An algorithm for robust pole assignment via polynomial approach , 1994, IEEE Trans. Autom. Control..

[25]  B. De Moor,et al.  Designing reduced order output feedback controllers using a potential reduction method , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[26]  Yau-Tarng Juang,et al.  Robust stability and robust pole assignment of linear systems with structured uncertainty , 1991 .

[27]  Michael G. Safonov,et al.  Two-Riccati positive real synthesis: LMI approach , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[28]  Z. Hong,et al.  Robustness of pole-assignment in a specified region , 1989 .

[29]  M. Corless,et al.  Reduced gain controllers for a class of uncertain dynamical systems , 1989, IEEE 1989 International Conference on Systems Engineering.

[30]  B. R. Barmish,et al.  The constrained Lyapunov problem and its application to robust output feedback stabilization , 1986 .

[31]  O. Solheim.  Design of optimal control systems with prescribed eigenvalues , 1972 .

[32]  Denis Arzelier,et al.  Pole assignment of linear uncertain systems in a sector via a Lyapunov-type approach , 1993, IEEE Trans. Autom. Control..

[33]  P. D. Roberts,et al.  Linear Control System Analysis and Design , 1982 .

[34]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[35]  George Zames,et al.  Logarithmic Variation Criteria for the Stability of Systems with Time-Varying Gains , 1968 .

[36]  Te-Son Kuo,et al.  Stability robustness analysis of digital control systems in state-space models , 1987 .

[37]  K. Poolla,et al.  Robust regulation with H 2 performance , 1994 .

[38]  Robert N. Clark,et al.  Introduction to Automatic Control Systems , 1962 .

[39]  Naser F. Al-Muthairi,et al.  Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties , 1994, IEEE Trans. Autom. Control..

[40]  Wilson J. Rugh,et al.  A stability result for linear parameter-varying systems , 1995 .

[41]  Osman Ismail,et al.  Design of state feedback control law for interval systems , 1993, 1993 IEEE International Symposium on Circuits and Systems.

[42]  D. Owens,et al.  Sufficient conditions for stability of linear time-varying systems , 1987 .

[43]  R. Yedavalli.  Perturbation bounds for robust stability in linear state space models , 1985 .

[44]  P. M. Frank,et al.  Linear Quadratic Regulators with Prescribed Eigenvalues for a Family of Linear Systems , 1984 .

[45]  Lihua Xie,et al.  Robust Kalman filtering for uncertain systems , 1994 .

[46]  S. Sathiya Keerthi,et al.  A homotopy approach for stabilizing single-input systems with control structure constraints , 1992, Autom..

[47]  Sahjendra N. Singh,et al.  Nonlinear Control of Mismatched Uncertain Linear Systems and Application to Control of Aircraft , 1984 .

[48]  Kemin Zhou,et al.  Robust stability of multivariable systems with both real parametric and norm bounded uncertainties , 1992 .

[49]  Sang Bong Kim,et al.  Pole assignment in a specified disk , 1987 .

[50]  Yuan-Yih Hsu,et al.  Pole assignment using dynamic output feedback compensators , 1987 .

[51]  Ian R. Petersen,et al.  A riccati equation approach to the stabilization of uncertain linear systems , 1986, Autom..

[52]  John M. Starkey,et al.  EFFECTS OF MODEL COMPLEXITY ON THE PERFORMANCE OF AUTOMATED VEHICLE STEERING CONTROLLERS : CONTROLLER DEVELOPMENT AND EVALUATION , 1994 .

[53]  M. Corless.  Control of Uncertain Nonlinear Systems , 1993 .

[54]  Yau-Tarng Juang,et al.  Stability analysis of dynamic interval systems , 1989 .

[55]  E. Davison,et al.  A note on the eigenvalues of a real matrix , 1970 .

[56]  P.K. Paul,et al.  Pole placement by performance criterion modification , 1989, Proceedings of the 32nd Midwest Symposium on Circuits and Systems,.

[57]  Naoya Kawasaki,et al.  Pole placement in a specified region based on a linear quadratic regulator , 1988 .

[58]  Lee H. Keel,et al.  State-space design of low-order stabilizers , 1990 .

[59]  Anthony N. Michel,et al.  On sufficient conditions for the stability of interval matrices , 1993 .

[60]  P. Peres,et al.  On a convex parameter space method for linear control design of uncertain systems , 1991 .

[61]  L. R. Fletcher.  Exact pole assignment by output feedback Part 2 , 1987 .

[62]  Martin Corless,et al.  On the necessity of the matching condition in robust stabilization , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[63]  John M. Starkey,et al.  EFFECTS OF MODEL COMPLEXITY ON THE PERFORMANCE OF AUTOMATED VEHICLE STEERING CONTROLLERS : MODEL DEVELOPMENT, VALIDATION AND COMPARISON , 1995 .

[64]  R. Benton,et al.  Eigenvalue assignment optimization for stable and unstable systems , 1996, Proceedings of 28th Southeastern Symposium on System Theory.

[65]  B. Barmish,et al.  On guaranteed stability of uncertain linear systems via linear control , 1981 .

[66]  Heng Zhang,et al.  Analytic approach to quadratic control with prescribed relative stability , 1988 .

[67]  Edwin M. Sawan,et al.  Robust LQ Controller for Discrete-Time System with Matching Structured and Bounded Uncertainties , 1993, 1993 American Control Conference.

[68]  Robert E. Fenton,et al.  On the steering of automated vehicles: Theory and experiment , 1976 .

[69]  J. Chou.  Pole-assignment robustness in a specified disk , 1991 .

[70]  G. Papavassilopoulos,et al.  Biaffine matrix inequality properties and computational methods , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[71]  Y. H. Chen,et al.  Robust control of uncertain systems with time-varying uncertainty: A computer-aided setting , 1991 .

[72]  A. Megretski,et al.  Frequency-domain criteria of robust stability for slowly time-varying systems , 1995, IEEE Trans. Autom. Control..

[73]  Bor-Sen Chen,et al.  Memoryless stabilization of uncertain dynamic delay systems: Riccati equation approach , 1991 .

[74]  G. Stein,et al.  Robustness with observers , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[75]  G. Zames.  On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity , 1966 .

[76]  M. Safonov,et al.  Real/complex multivariable stability margin computation via generalized Popov multiplier-LMI approach , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[77]  Katsuhiko Ogata,et al.  Discrete-time control systems , 1987 .

[78]  M. Amin.  Optimal pole shifting for continuous multivariable linear systems , 1985 .

[79]  T D Gillespie,et al.  Fundamentals of Vehicle Dynamics , 1992 .

[80]  Yaguang Yang,et al.  On Robust Pole Assignment by State Feedback , 1993, 1993 American Control Conference.

[81]  R. Skelton,et al.  Parametrization of all stabilizing controllers via quadratic Lyapunov functions , 1995 .

[82]  Leang-San Shieh,et al.  Robust optimal pole-placement in a vertical strip and disturbance rejection , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[83]  Harold Stalford,et al.  Robust control of uncertain systems in the absence of matching conditions: Scalar input , 1987, 26th IEEE Conference on Decision and Control.

[84]  Keith Glover,et al.  A loop shaping design procedure , 1990 .

[85]  R. Skelton,et al.  LMI numerical solution for output feedback stabilization , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[86]  G. Leitmann.  On One Approach to the Control of Uncertain Systems , 1993 .

[87]  Masayoshi Tomizuka,et al.  Preview Control for Vehicle Lateral Guidance in Highway Automation , 1991, 1991 American Control Conference.

[88]  S. Longhi,et al.  A note on robust pole assignment for periodic systems , 1996, IEEE Trans. Autom. Control..

[89]  P. Khargonekar,et al.  State-space solutions to standard H2 and H∞ control problems , 1988, 1988 American Control Conference.

[90]  Pramod P. Khargonekar,et al.  On the stabilization of uncertain linear systems via bound invariant Lyapunov functions , 1988 .

[91]  S. Gutman,et al.  A general theory for matrix root-clustering in subregions of the complex plane , 1981 .

[92]  W. E. Schmitendorf,et al.  Simultaneous Stabilization Via Low Order Controllers , 1990 .

[93]  Leang-San Shieh,et al.  Linear quadratic regulators with eigenvalue placement in a specified region , 1988, Autom..

[94]  Robert E. Benton,et al.  Automated Emergency Four-Wheel-Steered Vehicle Using Continuous Gain Equations , 1996 .

[95]  Jeff S. Shamma,et al.  Robust stability analysis of time-varying systems using time-varying quadratic forms , 1995 .

[96]  Robin J. Evans,et al.  Constrained pole-placement using transformation and LQ-design , 1987, Autom..

[97]  A. Rachid.  Robustness of pole assignment in a specified region for perturbed systems , 1990 .

[98]  I. Petersen.  A stabilization algorithm for a class of uncertain linear systems , 1987 .

[99]  P. Makila,et al.  Computational methods for parametric LQ problems--A survey , 1987 .

[100]  B. Anderson,et al.  Optimal control: linear quadratic methods , 1990 .

[101]  R. E. Kalman,et al.  Linear system theory-The state space approach , 1965 .

[102]  D. Bernstein,et al.  Controller design with regional pole constraints , 1992 .

[103]  Keqin Gu,et al.  Guaranteed convergence ratio of systems with time-varying uncertainties , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[104]  S. Shieh,et al.  Continuous-time quadratic regulators and pseudo-continuous-time quadratic regulators with pole placement in a specific region , 1987 .

[105]  P. Khargonekar,et al.  An algebraic Riccati equation approach to H ∞ optimization , 1988 .

[106]  B. Barmish.  Stabilization of uncertain systems via linear control , 1983 .

[107]  Etsujiro Shimemura,et al.  Determining quadratic weighting matrices to locate poles in a specified region , 1983, Autom..

[108]  Bruce A. Francis,et al.  Feedback Control Theory , 1992 .

[109]  Z. Luo,et al.  Comments on ‘Sufficient condition for the asymptotic stability of interval matrices’ , 1988 .

[110]  O. I. Kosmidou,et al.  Robust stability and performance of systems with structured and bounded uncertainties: an extension of the guaranteed cost control approach , 1990 .

[111]  R.E. Fenton,et al.  On the steering of automated vehicles—A velocity-adaptive controller , 1980, IEEE Transactions on Vehicular Technology.

[112]  M. A Shalaby.  A numerically stable algorithm for the inverse eigenproblem , 1994 .

[113]  S. Bhattacharyya,et al.  Robust control with structured perturbations , 1987, 26th IEEE Conference on Decision and Control.

[114]  R. Skelton,et al.  Linear quadratic suboptimal control with static output feedback , 1994 .

[115]  Rafael Santos Mendes,et al.  ROBUST CONTROL DESIGN FOR LINEAR SYSTEMS WITH UNCERTAIN PARAMETERS , 1991 .

[116]  I. Petersen.  Stabilization of an uncertain linear system in which uncertain parameters enter into the input matrix , 1988 .

[117]  Raymond A. DeCarlo,et al.  Feedback gain optimization in decentralized eigenvalue assignment , 1986, Autom..

[118]  Jo Yung Wong,et al.  Theory of ground vehicles , 1978 .

[119]  R. G. Cameron.  New pole assignment algorithm with reduced norm feedback matrix , 1988 .

[120]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[121]  G. Gu.  On the existence of linear optimal control with output feedback , 1990 .

[122]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[123]  Kenneth M. Sobel,et al.  Robustness of delta operator systems using a matrix measure approach , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[124]  P. Khargonekar,et al.  Stability robustness bounds for linear state-space models with structured uncertainty , 1987 .

[125]  R. E. Fenton,et al.  Automated highway studies at the Ohio State University-an overview , 1991 .

[126]  Leang S. Shieh,et al.  Linear quadratic regulators with eigenvalue placement in a vertical strip , 1986 .

[127]  Yau-Tarng Juang,et al.  Lyapunov approach to robust pole-assignment analysis , 1989 .

[128]  William H. Press,et al.  Numerical Recipes: The Art of Scientific Computing , 1987 .

[129]  A. Olaś,et al.  Construction of optimal Lyapunov function for systems with structured uncertainties , 1994, IEEE Trans. Autom. Control..

[130]  Charles A. Desoer,et al.  Slowly varying system ẋ = A(t)x , 1969 .

[131]  A. T. Neto,et al.  Stabilization via static output feedback , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[132]  M. Fan,et al.  On minimizing the largest eigenvalue of a symmetric matrix , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[133]  A. G. Mazko.  Lyapunov matrix Equations for a Certain Class of Regions Bounded by Algebraic Curves , 1980 .

[134]  Lee H. Keel,et al.  Robust eigenvalue assignment with maximum tolerance to system uncertainties , 1991 .

[135]  C. Jiang.  Sufficient condition for the asymptotic stability of interval matrices , 1987 .

[136]  S. Sathiya Keerthi,et al.  Regional pole placement of multivariable systems under control structure constraints , 1995, IEEE Trans. Autom. Control..

[137]  Yau-Tarng Juang,et al.  Allowable perturbations for robust pole assignment of dynamic systems , 1987, 26th IEEE Conference on Decision and Control.

[138]  G. Stein,et al.  Quadratic weights for asymptotic regulator properties , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[139]  Abdul-Amir A. Abdul-Wahab,et al.  Eigenvalue clustering in subregions of the complex plane , 1988 .

[140]  Eugênio B. Castelan,et al.  Eigenstructure assignment for state constrained linear continuous time systems , 1992, Autom..

[141]  Joachim Rosenthal,et al.  On generic stabilizability and pole assignability , 1994 .

[142]  Te-Son Kuo,et al.  ROBUST LINEAR QUADRATIC OPTIMAL CONTROL FOR SYSTEMS WITH LINEAR UNCERTAINTIES , 1991 .

[143]  L. R. Fletcher,et al.  Exact pole assignment by output feedback Part 1 , 1987 .

[144]  Sang Bong Kim,et al.  Regulator design with poles in a specified region , 1988 .

[145]  A. Laub.  An inequality and some computations related to the robust stability of linear dynamic systems , 1979 .

[146]  Ezra Zeheb,et al.  Robust control of the characteristic values of systems with possible parameter variations , 1984 .

[147]  J. Doyle,et al.  Linear control theory with an H ∞ 0E optimality criterion , 1987 .

[148]  S. Liberty,et al.  Linear Systems , 2010, Scientific Parallel Computing.

[149]  B. Kouvaritakis,et al.  Pole placement with minimised norm controllers , 1980 .

[150]  J. Magni,et al.  Exact pole assignment by output feedback Part 3 , 1987 .

[151]  Su-Nan Huang,et al.  Robustness bounds for continuous systems with LQ regulators , 1995 .

[152]  J. S. Luo,et al.  Perturbation bounds for root-clustering of linear systems in a specified second order subregion , 1995, IEEE Trans. Autom. Control..

[153]  K. Goh,et al.  Control system synthesis via bilinear matrix inequalities , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[154]  D. Hinrichsen,et al.  Stability radius for structured perturbations and the algebraic Riccati equation , 1986 .

[155]  J. Geromel,et al.  Convex analysis of output feedback control problems: robust stability and performance , 1996, IEEE Trans. Autom. Control..

[156]  A. Schaft.  L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control , 1992 .

[157]  D. Dawson,et al.  On the state observation and output feedback problems for nonlinear uncertain dynamic systems , 1992, Proceedings IEEE Southeastcon '92.

[158]  Ian R. Petersen,et al.  Guaranteed cost LQG control of uncertain linear systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[159]  Abdelaziz Hmamed,et al.  Stability tests of interval time delay systems , 1994 .

[160]  S. M. Karbassi,et al.  New method of parametric eigenvalue assignment in state feedback control , 1994 .

[161]  M. James,et al.  Stabilization of uncertain systems with norm bounded uncertainty-a control , 1989 .

[162]  John D'Azzo,et al.  Linear Control System Analysis and Design: Conventional and Modern , 1977 .

[163]  Yuguang Fang,et al.  A sufficient condition for stability of a polytope of matrices , 1994 .

[164]  Isaac Kaminer,et al.  Optimal controller synthesis with regional stability constraints , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[165]  R. E. Yates,et al.  State-feedback decomposition of multivariable systems via block-pole placement , 1983 .

[166]  Shuenn-Shyang Wang,et al.  On the analysis of eigenvalue assignment robustness , 1992 .

[167]  Robert E. Skelton,et al.  Output feedback controllers of suboptimality degree beta , 1990 .

[168]  D. Bernstein.  Robust static and dynamic output-feedback stabilization: Deterministic and stochastic perspectives , 1987 .

[169]  Rama K. Yedavalli.  Stability analysis of interval matrices: another sufficient condition , 1986 .

[170]  Rama K. Yedavalli,et al.  Improved measures of stability robustness for linear state space models , 1985 .